A finite element modeling method for a volute flow channel, a computer device, and a storage medium.

Abstract

This invention relates to the field of volute modeling technology, and discloses a finite element modeling method, computer equipment, and storage medium for volute flow channels. The finite element modeling method for volute flow channels includes: constructing multiple typical cross-sections based on cross-sectional parameters; for straight pipe cross-sections, determining the arc edge of the straight pipe cross-section on the circumference of the straight pipe cross-section; for bent pipe cross-sections, determining the arc edge of the guide vane of the seat ring on the inner side of the bent pipe cross-section based on a preset height; determining the arc edge of the bent pipe cross-section on the long side of the arc connecting the intersections of the two seat rings based on an arc transition factor; connecting the corresponding cross-sectional intersections to construct a first curve; connecting the corresponding seat ring intersections to construct a second curve; constructing a sidewall based on adjacent first curves and the arc edge of the cross-section; constructing a seat ring surface based on adjacent second curves and the arc edge of the seat ring; and constructing a volute flow channel mesh based on the arc edge of the cross-section, the first curve, the second curve, the sidewall, and the seat ring surface. This invention can improve mesh generation efficiency.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of volute modeling, and particularly relates to a volute flow passage finite element modeling method, computer equipment and a storage medium. BACKGROUND

[0002] The underground powerhouse structure of a pumped storage power station is complex, and with the continuous increase of unit operation water head and speed, the problems of powerhouse structure vibration are increasingly prominent. In the structural design stage, the finite element analysis method is generally used for dynamic simulation calculation of the underground powerhouse structure to clarify the rationality of the underground powerhouse structure design and effectively prevent excessive vibration of the powerhouse structure. The quality of mesh division is a key factor affecting the simulation calculation accuracy. In the modeling process of the underground powerhouse, the volute flow passage structure is complex and has a three-dimensional spatial curve shape, so it is difficult to divide the mesh.

[0003] Currently, the tetrahedral mesh is used for division, which has strong adaptability to complex geometric shapes, but for the dynamic calculation of the underground powerhouse structure, the tetrahedral mesh may not provide sufficient accuracy in the stress concentration area, affecting the reliability of the simulation results. At the same time, the tetrahedral mesh has a large number of elements, which easily leads to an increase in calculation time and resource consumption, and low division efficiency. SUMMARY

[0004] Therefore, the present application provides a volute flow passage finite element modeling method, computer equipment and a storage medium to improve the mesh division efficiency.

[0005] In a first aspect, the present application provides a volute flow passage finite element modeling method, comprising: constructing a plurality of typical sections based on section parameters of the volute flow passage, the typical sections including straight pipe sections and elbow pipe sections; for the straight pipe sections, constructing a straight pipe section circumference with a section center, determining a first number of straight pipe section intersection points on the straight pipe section circumference, connecting adjacent straight pipe section intersection points with a circular arc side to construct a first number of straight pipe section circular arc sides; for the elbow pipe sections, constructing an elbow pipe section circumference with a section center, determining two seat ring intersection points on the inner side of the elbow pipe section circumference based on a preset height, connecting the two seat ring intersection points with a circular arc short side to construct a seat ring guide vane circular arc side; determining a first number of elbow pipe section intersection points on a circular arc long side connecting the two seat ring intersection points based on a circular arc transition factor, connecting adjacent elbow pipe section intersection points and connecting adjacent elbow pipe section intersection points and seat ring intersection points to construct a first number of elbow pipe section circular arc sides; for adjacent typical sections, connecting corresponding section intersection points to construct a first number of first curves; for adjacent elbow pipe sections, connecting corresponding seat ring intersection points to construct two second curves; the section intersection points include straight pipe section intersection points and elbow pipe section intersection points; constructing a side wall surface based on adjacent first curves and section circular arc sides connected by the first curves; the section circular arc sides include straight pipe section circular arc sides and elbow pipe section circular arc sides; constructing a seat ring surface based on adjacent second curves and seat ring circular arc sides connected by the second curves; and constructing a volute flow passage grid based on the section circular arc sides, the first curves, the second curves, the side wall surface, and the seat ring surface.

[0006] In this implementation, the straight pipe sections and the elbow pipe sections are divided by constructing the typical sections, and different grid divisions are performed on the straight pipe sections and the elbow pipe sections respectively. For the straight pipe sections, only uniform side wall surfaces are constructed, and for the elbow pipe sections, the influence of the seat ring guide vanes on the side wall surfaces is considered, and different side wall surfaces from the straight pipe sections are constructed by using the circular arc transition factor, which can ensure smooth transition of the side wall surfaces and improve the grid quality. Further, the seat ring surfaces are constructed based on the constructed side wall surfaces, which can improve the grid division efficiency and thus improve the accuracy and reliability of the simulation calculation.

[0007] In an optional implementation, constructing a plurality of typical sections based on section parameters of the volute flow passage comprises: obtaining section parameters of the volute flow passage, the section parameters including a center distance of a section center from a coordinate origin, a section circumference radius, and a section angle; determining a plurality of typical sections in the volute flow passage based on the section parameters; naming the typical sections from straight pipe sections to elbow pipe sections, and the typical sections are sequentially numbered as 0-n sections, wherein the 0 section is a straight pipe section, and the 1-n sections are elbow pipe sections; for each typical section, constructing a local coordinate system with a line direction from the section center to the coordinate origin as an X axis and an elevation direction of the volute flow passage as a Y axis.

[0008] In this implementation, each typical cross-section is constructed based on the cross-sectional parameters of the volute flow channel, and then a corresponding local coordinate system is constructed for each typical cross-section. This facilitates different analyses of different cross-sections and improves the efficiency of subsequent mesh generation.

[0009] In one optional implementation, for a straight pipe cross-section, a circumference of the straight pipe cross-section is constructed with the center of the cross-section. A first number of intersection points of straight pipe cross-sections are uniformly determined on the circumference of the straight pipe cross-section. The arc edges of adjacent intersection points of straight pipe cross-sections are connected to construct the first number of arc edges of the straight pipe cross-section. This includes: for a straight pipe cross-section, constructing a circumference of the straight pipe cross-section with the center of the cross-section, and uniformly determining the first, second, third, and fourth intersection points of the straight pipe cross-sections in a counterclockwise direction along the X-axis. The intersection of straight pipe sections; the arc edge connecting the intersection of the first straight pipe section and the intersection of the fourth straight pipe section is used to construct the arc edge of the first straight pipe section; the arc edge connecting the intersection of the first straight pipe section and the intersection of the second straight pipe section is used to construct the arc edge of the second straight pipe section; the arc edge connecting the intersection of the second straight pipe section and the intersection of the third straight pipe section is used to construct the arc edge of the third straight pipe section; the arc edge connecting the intersection of the third straight pipe section and the intersection of the fourth straight pipe section is used to construct the arc edge of the fourth straight pipe section.

[0010] In this implementation, for straight pipe cross-sections, the circular arc edges of the straight pipe cross-sections are uniformly constructed based on the uniform construction of the intersection points of the straight pipe cross-sections. This ensures that the curvature of each arc is the same, preventing the arc curvature from being too large, and thus generating a high-quality mesh.

[0011] In one optional implementation, for the bend cross-section, a bend cross-section circumference is constructed with the center of the cross-section. Based on a preset height, two seat ring intersection points are determined on the inner side of the bend cross-section circumference. The short arc sides of the two seat ring intersection points are connected to construct the seat ring arc side. This includes: for the bend cross-section, constructing a bend cross-section circumference with the center of the cross-section, determining a first seat ring intersection point at a Y-axis height H / 2 on the inner side of the bend cross-section circumference, and determining a second seat ring intersection point at a Y-axis height -H / 2 on the inner side of the bend cross-section circumference; connecting the short arc sides of the first and second seat ring intersection points to construct the seat ring arc side.

[0012] In this implementation, considering the position of the seat ring guide vane on the curved pipe section, the seat ring is determined on the inner side of the curved pipe at the circumference of the curved pipe section. The seat ring intersection point is determined at a height of ±H / 2, and the arc edge of the seat ring is further determined. This allows the seat ring guide vane to be determined in the middle of the inner side of the curved pipe, and can generate a high-quality mesh.

[0013] In one optional implementation, based on the arc transition factor, a first number of bend section intersection points are determined on the long side of the arc connecting the two seat ring intersection points. Adjacent bend section intersection points are connected, and adjacent bend section intersection points and seat ring intersection points are connected to construct the first number of bend section arc edges. This includes: when the bend section is section 1, constructing the bend section circumference with the section center, and uniformly determining the first bend section intersection point, the second bend section intersection point, the third bend section intersection point, and the fourth bend section on the long side of the arc in a counter-clockwise direction along the X-axis. Intersection points; wherein, the angles of the intersection points of the first, second, third, and fourth bend sections are the same as the angles of the intersection points of the first, second, third, and fourth straight pipe sections, respectively; the arc edge between the intersection point of the first bend section and the intersection point of the first ring is taken as the connecting arc edge of the first bend, and the arc edge between the intersection point of the fourth bend section and the intersection point of the second ring is taken as the connecting arc edge of the second bend; when the bend section has 2 to n sections, based on the arc transition factor f i The first bend of the pipe at section i connects to the arc edge l. i The first arc length of 1′ determines the first bend connecting arc edge l of section i+1. i+1 The length of the second arc of arc 1′ is: arc(l i+1 1′)=f i ×arc(l i 1′); where the circular arc transition factor f i Less than zero; based on the circular arc transition factor f i The second bend of the pipe at section i connects to the arc edge l. i The length of the third arc of 2′ determines the connecting arc edge l of the second bend in section i+1. i+1 The fourth arc length of 2′; the intersection point of the first bend pipe section is determined based on the second arc length in the positive direction of the Y-axis, the intersection point of the fourth bend pipe section is determined based on the fourth arc length in the negative direction of the Y-axis, and the intersection points of the second and third bend pipe sections are determined based on the intersection points of the second and third straight pipe sections; wherein, the angles of the intersection points of the second and third bend pipe sections are the same as the angles of the intersection points of the second and third straight pipe sections; the arc edges connecting the intersection points of the first and fourth bend pipe sections are used to construct the arc edge of the first bend pipe section, the arc edges connecting the intersection points of the first and second bend pipe sections are used to construct the arc edge of the second bend pipe section, the arc edges connecting the intersection points of the second and third bend pipe sections are used to construct the arc edge of the third bend pipe section, and the arc edges connecting the intersection points of the third and fourth bend pipe sections are used to construct the arc edge of the fourth bend pipe section.

[0014] In this implementation, the arc transition factor is used to adjust the arc of the bend, which can ensure a smooth transition of the arc and further improve the mesh quality.

[0015] In one optional implementation, the sidewall is constructed based on the arc edges of adjacent first curves and the cross-sections connected by the first curves, including: for sections 0 and 1, constructing a first straight pipe sidewall based on adjacent first curves, the arc edges of the first straight pipe cross-section, and the arc edges of the first bent pipe cross-section; constructing a second straight pipe sidewall based on adjacent first curves, the arc edges of the second straight pipe cross-section, and the arc edges of the second bent pipe cross-section; constructing a third straight pipe sidewall based on adjacent first curves, the arc edges of the third straight pipe cross-section, and the arc edges of the third bent pipe cross-section; constructing a fourth straight pipe sidewall based on adjacent first curves, the arc edges of the fourth straight pipe cross-section, and the arc edges of the fourth bent pipe cross-section; for sections 1 to n, constructing a first bent pipe sidewall based on adjacent first curves and the arc edges of the first bent pipe cross-section; constructing a second bent pipe sidewall based on adjacent first curves and the arc edges of the second bent pipe cross-section; constructing a third bent pipe sidewall based on adjacent first curves and the arc edges of the third bent pipe cross-section; and constructing a fourth bent pipe sidewall based on adjacent first curves and the arc edges of the fourth bent pipe cross-section.

[0016] In one optional implementation, the seat ring surface is constructed based on the arc edge of the seat ring connected by adjacent second curves and second curves. Before this, the method further includes: using the first straight pipe sidewall to divide the first bend pipe sidewall, second bend pipe sidewall, third bend pipe sidewall, and fourth bend pipe sidewall between section n and section n-1, and deleting the divided area; obtaining the first intersection point and the second intersection point of the first straight pipe sidewall and the bend pipe sidewall in the axial direction of the straight pipe section of the volute flow channel; establishing a first working plane and a second working plane at the first intersection point and the second intersection point respectively in the direction perpendicular to the axial direction of the straight pipe section of the volute flow channel, and using the first working plane and the second working plane to cut the first straight pipe sidewall, dividing the first straight pipe sidewall into three sub-sidewalls.

[0017] In this implementation, the overlapping areas of straight and curved pipe sections are considered and region deletion is performed to ensure the modeling accuracy of the volute flow channel. Furthermore, the sidewall of the straight pipe is divided according to the cut section, which can improve the smoothness of mesh generation.

[0018] In one alternative implementation, the seat ring surface is constructed based on the seat ring arc edge connected by adjacent second curves and second curves, including: for sections 1 to n, constructing the seat ring surface based on the seat ring arc edge connected by adjacent second curves and second curves.

[0019] In a second aspect, the present invention provides a computer device, comprising: a memory and a processor, wherein the memory and the processor are communicatively connected to each other, the memory stores computer instructions, and the processor executes the computer instructions to perform the finite element modeling method for the volute flow channel described in the first aspect or any corresponding embodiment thereof.

[0020] Thirdly, the present invention provides a computer-readable storage medium storing computer instructions for causing a computer to execute the finite element modeling method for the volute flow channel of the first aspect or any corresponding embodiment described above. Attached Figure Description

[0021] To more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the specific embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0022] Figure 1 This is a flowchart illustrating a finite element modeling method for a volute flow channel according to an embodiment of the present invention.

[0023] Figure 2 This is a modeling diagram of a volute flow channel according to an embodiment of the present invention;

[0024] Figure 3 This is a schematic diagram of a typical cross-sectional local coordinate system according to an embodiment of the present invention;

[0025] Figure 4 This is a schematic diagram of the circumference of a straight pipe cross-section according to an embodiment of the present invention;

[0026] Figure 5 This is a two-dimensional schematic diagram of the mesh division of a volute flow channel according to an embodiment of the present invention;

[0027] Figure 6 This is a two-dimensional schematic diagram of another volute flow channel mesh division according to an embodiment of the present invention;

[0028] Figure 7 This is a schematic diagram of the circumference of a bent pipe cross-section according to an embodiment of the present invention;

[0029] Figure 8 This is a schematic diagram of a curved pipe section section according to an embodiment of the present invention;

[0030] Figure 9 This is a schematic diagram of a seat ring for a volute flow channel according to an embodiment of the present invention;

[0031] Figure 10 This is a schematic diagram of a mesh modeling of a volute flow channel according to an embodiment of the present invention;

[0032] Figure 11 This is a schematic diagram of the hardware structure of a computer device according to an embodiment of the present invention. Detailed Implementation

[0033] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0034] According to an embodiment of the present invention, a finite element modeling method for a volute flow channel is provided. It should be noted that the steps shown in the flowchart in the accompanying drawings can be executed in a computer system such as a set of computer-executable instructions. Furthermore, although a logical order is shown in the flowchart, in some cases, the steps shown or described may be executed in a different order than that shown here.

[0035] This embodiment provides a finite element modeling method for a volute flow channel. Figure 1 This is a flowchart of a finite element modeling method for a volute flow channel according to an embodiment of the present invention. It should be noted that if substantially the same result is obtained, this embodiment does not necessarily reflect that result. Figure 1 The illustrated process sequence is limited. For example... Figure 1 As shown, the process includes the following steps:

[0036] Step S101: Construct multiple typical cross-sections based on the cross-sectional parameters of the volute flow channel.

[0037] Based on the dimensions of the volute flow channel in the drawings, several typical cross-sections are selected along the volute, and the volute flow channel cross-section is modeled according to the cross-sectional parameters of the typical cross-sections. Among them, the typical cross-section of the straight pipe section is the straight pipe cross-section, and the typical cross-section of the curved pipe section is the curved pipe cross-section.

[0038] In one implementation, the cross-sectional parameters of the volute flow channel include the distance R between the center of the cross-section and the origin of the coordinate system. i Circumferential radius r of the cross section i , cross-sectional angle α i .

[0039] Specifically, the cross-sectional parameters of each typical section are obtained, and multiple typical sections are determined in the volute flow channel based on the cross-sectional parameters. The typical sections are named from the straight pipe section to the curved pipe section, as sections 0 to n, where section 0 is the straight pipe section and sections 1 to n are the curved pipe sections.

[0040] Please see Figure 2 , Figure 2 This is a modeling diagram of a volute flow channel according to an embodiment of the present invention. For example... Figure 2As shown, 21 typical cross-sections were identified in the volute flow channel. These typical cross-sections were named from straight pipe sections to curved pipe sections, numbered 0 to 20. The pipe section from section 0 to section 1 was a straight pipe section, section 0 was a straight pipe section, the pipe section from section 1 to section 20 was a curved pipe section, and sections 1 to 20 were straight pipe sections.

[0041] Furthermore, a local coordinate system is established for each typical cross-section. See section 3. Figure 3 This is a schematic diagram of a typical cross-sectional local coordinate system according to an embodiment of the present invention. Figure 3 The following diagram uses four cross-sections as an example. For each typical cross-section, a local coordinate system is constructed with the line connecting the center of the cross-section and the origin of the coordinate system as the X-axis and the elevation direction of the volute flow channel as the Y-axis.

[0042] Step S102: For a straight pipe cross-section, construct a circumference of the straight pipe cross-section with the center of the cross-section, uniformly determine a first number of intersection points of the straight pipe cross-section on the circumference of the straight pipe cross-section, connect the arc edges of adjacent intersection points of the straight pipe cross-section, and construct a first number of arc edges of the straight pipe cross-section.

[0043] Please see Figure 2 Based on the local coordinate system of the straight pipe section, a straight pipe section circumference is constructed on the straight pipe section using the section center and section radius. A first number of straight pipe section intersection points with the same distance are determined on the straight pipe section circumference, and the arc edge between the intersection points of adjacent straight pipe sections is taken as the arc edge of the straight pipe section.

[0044] In one implementation, the first quantity is four. See [link to specific implementation details] for details. Figure 4 , Figure 4 This is a schematic diagram of the circumference of a straight pipe cross-section according to an embodiment of the present invention. On the circumference of the straight pipe cross-section, the intersection points of the first straight pipe cross-sections are uniformly and sequentially determined in a counterclockwise direction according to the X-axis of the local coordinate system. Intersection of the second straight pipe section Intersection of the third straight pipe section Intersection with the fourth straight pipe section

[0045] Connect the intersection of the first straight pipe sections Intersection with the fourth straight pipe section The first straight pipe cross-section arc edge l is constructed by the arc edge. i 1. Connect the intersection of the first straight pipe sections. Intersection of the second straight pipe section The circular arc edge is used to construct the second straight pipe cross-section circular arc edge l. i 2. Connect the intersection of the second straight pipe sections. Intersection with the third straight pipe section The circular arc edge is used to construct the circular arc edge of the third straight pipe section l. i3. Connect the intersection of the third straight pipe section Intersection with the fourth straight pipe section The circular arc edge is used to construct the fourth straight pipe cross-section circular arc edge l. i 4.

[0046] In one example, for section 0, take 0°, take For 90°, take For 180°, take The angle is 270°. To generate the outer mesh of the volute pipe using the circumferential creation method in this example, please refer to [link to example]. Figure 5 , Figure 5 This is a two-dimensional schematic diagram of the mesh division of a volute flow channel according to an embodiment of the present invention.

[0047] In another example, for section 0, take It is 45°, take It is 135°, take 225°, take The angle is 315°. To generate the outer mesh of the volute pipe using the circumferential creation method in this example, please refer to [link to example]. Figure 6 , Figure 6 This is a two-dimensional schematic diagram of another volute flow channel grid division according to an embodiment of the present invention.

[0048] When it is necessary to generate the concrete mesh at the top of the volute, the volute is usually stretched upwards, in contrast. Figure 5 and Figure 6 , Figure 5 Near the intersection of the first straight pipe section, the excessive curvature of the arc prevents the generation of a high-quality mesh. Therefore, preferably, for section 0, a value of [missing information] is taken. It is 45°, take It is 135°, take 225°, take It is 315°.

[0049] Step S103: For the bend cross section, construct the circumference of the bend cross section with the center of the cross section. Based on the preset height, determine the intersection point of two seat rings on the inner side of the bend cross section circumference. Connect the short side of the arc of the two seat ring intersection points to construct the arc side of the seat ring guide vane.

[0050] Please see Figure 2 Based on the local coordinate system of the bend cross-section, a circular circumference of the bend cross-section is constructed using the center and radius of the cross-section. Since there is a seat ring of fixed height inside the volute flow channel, the water flows from the volute flow channel through the seat ring and guide vanes into the tailrace pipe. In the finite element modeling of this application, the seat ring and guide vanes are simulated on the inside of the bend cross-section circumference.

[0051] Specifically, based on the preset height of the seat ring, two seat ring intersection points are determined on the inner side of the bend where the cross-section of the bend is defined. The short side of the arc connecting the two seat ring intersection points is used to construct the arc side of the seat ring guide vane.

[0052] For example, please refer to Figure 7 , Figure 7 This is a schematic diagram of the circumference of a bent pipe cross section according to an embodiment of the present invention. The first anchor point is determined at the Y-axis height H / 2 on the inner side of the bent pipe cross section, and the second anchor point is determined at the Y-axis height -H / 2 on the inner side of the bent pipe cross section. The short arc sides of the first anchor point and the second anchor point are connected to construct the anchor arc side.

[0053] like Figure 7 As shown, taking sections 4 and 14 as examples, for the same seat ring height H, the arc lengths of the seat ring arc edges corresponding to section 4 and section 14 are different.

[0054] Step S104: Based on the arc transition factor, determine the first number of bend section intersections on the long side of the arc connecting the two seat ring intersections, connect adjacent bend section intersections, connect adjacent bend section intersections and seat ring intersections, and construct the first number of bend section arc edges.

[0055] Please see Figure 2 In the bend section, as the bend angle gradually increases, the circumferential radius of the bend gradually decreases. Since the seat ring height H is a fixed value, if the first number of bend cross-section intersections are determined using the same method as for the straight pipe cross-section, the arc edge between the seat ring intersection and the bend cross-section intersection may be too small, severely affecting the mesh quality. Therefore, this application proposes a method for adjusting the intersection points of bend cross-sections to adaptively improve mesh quality.

[0056] Specifically, the intersection point of the current bend section is adjusted based on the arc transition factor and the previous bend section to determine the new bend section intersection point.

[0057] In one implementation, the first quantity is four. When the bend cross-section is section 1, the intersection point of the bend cross-section is determined using the same method as for section 0.

[0058] Specifically, based on the local coordinate system of the pipe section, the circumference of the pipe section is constructed using the center and radius of the section. The intersection points of the first, second, third, and fourth pipe sections are determined sequentially and uniformly on the long side of the arc in a counterclockwise direction along the X-axis.

[0059] The angles of the intersection points of the first, second, third, and fourth bend sections are the same as the angles of the intersection points of the first, second, third, and fourth straight pipe sections, respectively. That is, for example, taking... It is 45°, take It is 135°, take 225°, take It is 315°.

[0060] Furthermore, the arc edge between the intersection of the first bend section and the intersection of the first ring is taken as the connecting arc edge l11′ of the first bend, and the arc edge between the intersection of the fourth bend section and the intersection of the second ring is taken as the connecting arc edge l12′ of the second bend.

[0061] In one implementation, the first quantity is four. When the bend cross-section is 2 to n cross-sections, it is based on the circular arc transition factor f. i The first bend of the pipe at section i connects to the arc edge l. i The first arc length of 1′ determines the first bend connecting arc edge l of section i+1. i+ The second arc length is 11′. Based on the circular arc transition factor f. i The second bend of the pipe at section i connects to the arc edge l. i The length of the third arc of 2′ determines the connecting arc edge l of the second bend in section i+1. i+1 The length of the fourth arc of 2′.

[0062] Specifically, to ensure that the intersection of the first bend's cross-section is outside the range of the seat ring height H, and that the first bend's connecting arc edge l... i 1′ and the arc edge connecting the second bend i 2′ Smooth transition, with the circular transition factor f i As a control parameter. Among them, the first bend connects to the arc edge l. i 1′ and the arc edge connecting the second bend i The method for determining 2′ is the same. The following uses the first bend pipe connecting the arc edge l as an example. i The method for determining 1′ will be explained using an example. Here, the minimum value of i is section 1.

[0063] Please refer to Figure 7 The arc length of the first bend connecting the circular arc edge l11′ in section 1 is:

[0064]

[0065] in,

[0066] The arc length of the first bend of the pipe at section 2, connecting the circular arc edge l21′, is:

[0067] arc(l21′)=f i ×arc(l11′).

[0068] The value range of the circular arc transition factor is 0.6 to 0.8.

[0069] Similarly, the first bend of the pipe at section i+1 is connected to the arc edge l. i The length of the second arc of arc 1′ is:

[0070] arc(l i+1 1′)=f i ×arc(l i 1′).

[0071] Furthermore, the intersection point of the first bend section is determined based on the second arc length in the positive direction of the Y-axis.

[0072] Specifically, θ of section i+1 i+1 for:

[0073]

[0074] β at section i+1 i+1 for:

[0075]

[0076] i+1 section for:

[0077]

[0078] At section i of the bend, the angle of the intersection point of the first bend section.

[0079] Similarly, the angle at the intersection of the fourth bend sections is determined based on the fourth arc length in the negative Y-axis direction.

[0080] The intersection points of the second and third bend sections are determined based on the intersection point of the second straight pipe section and the focal point of the third straight pipe section; wherein, the angles of the intersection points of the second and third bend sections are the same as the angles of the intersection points of the second and third straight pipe sections, respectively. For example, taking... It is 135°, take It is 225°.

[0081] Furthermore, connect the intersection of the first bend section. Intersection with the fourth bend section The first curved pipe section's curved edge l is constructed by drawing the arc edge. i 1. Connect the intersection of the first bend pipe sections. Intersection of the second bend section The circular arc edge is used to construct the circular arc edge of the second bend section. i 2. Connect the intersection of the second bend section. Intersection with the third bend section The circular arc edge is used to construct the circular arc edge l of the third bend pipe section. i 3. Connect the intersection of the third bend section. Intersection with the fourth bend section The circular arc edge is used to construct the circular arc edge of the fourth bend pipe section l. i 4.

[0082] Step S105: For adjacent typical cross sections, connect the corresponding cross section intersections to construct a first number of first curves; for adjacent bend cross sections, connect the corresponding seat ring intersections to construct two second curves.

[0083] Specifically, from the end of the straight pipe section to the end of the bend section, the intersection points of the first straight pipe sections and the first bend sections of adjacent straight pipe sections are connected to generate the first curve spline1. Similarly, the intersection points of the second straight pipe sections and the second bend sections of adjacent straight pipe sections are connected to generate the first curve spline2; the intersection points of the third straight pipe sections and the third bend sections of adjacent straight pipe sections are connected to generate the third curve spline3; and the intersection points of the fourth straight pipe sections and the fourth bend sections of adjacent straight pipe sections are connected to generate the first curve spline4.

[0084] Specifically, for each bend, the first intersection point of adjacent bend sections is connected to generate the second curve spline5. Similarly, the second intersection point of adjacent bend sections is connected to generate the second curve spline6.

[0085] Step S106: Construct a sidewall based on the cross-sectional arc edge connecting adjacent first curves and first curves.

[0086] Specifically, using line segment l i 1. spline i 1, l i+1 1. spline i 4. Establish side wall surface A i 1; Using line segment l respectively i 2. spline i 2, l i+1 2. spline i 1. Establish sidewall A i 2; respectively using line segment li 3. spline i 3, l i+1 3. spline i 2. Establish sidewall A i 3; respectively using line segment l i 4. spline i 4, l i+1 4. spline i 3. Establish side wall surface A i 4.

[0087] In one implementation, for sections 0 and 1, the adjacent first curves spline01 and spline are used as the basis. i 4. Construct the first straight pipe sidewall A01 using the arc edge l01 of the first straight pipe section and the arc edge l11 of the first bent pipe section; construct the second straight pipe sidewall A02 based on adjacent first curves spline01 and spline02, the arc edge l02 of the second straight pipe section and the arc edge l12 of the second bent pipe section; construct the third straight pipe sidewall A03 based on adjacent first curves spline02 and spline03, the arc edge l03 of the third straight pipe section and the arc edge l13 of the third bent pipe section; construct the fourth straight pipe sidewall A04 based on adjacent first curves spline03 and spline04, the arc edge l04 of the fourth straight pipe section and the arc edge l14 of the fourth bent pipe section.

[0088] In one implementation, for sections 1 to n, the method is based on the adjacent first curve spline. i 1 and spline i 4. The circular arc edge of the first bend in the pipe section l i 1 and l i+1 1. Construct the side wall A of the first bend i 1; Based on the adjacent first curve spline i 1 and spline i 2. The circular arc edge of the second bend in the pipe section l i 2 and l i+1 2. Construct the side wall surface A of the second bend. i 2; Based on the adjacent first curve spline i 2 and spline i 3. The circular arc edge of the third bend in the pipe section l i 3 and l i+1 3. Construct the side wall surface A of the third bend i 3; Based on the adjacent first curve spline i 3 and spline i 4. The circular arc edge of the fourth bend in the pipe section l i 4 and l i+1 4. Construct the side wall surface A of the fourth bend.i 4.

[0089] Furthermore, in one implementation, this application performs rewrite region segmentation on the constructed sidewalls.

[0090] Specifically, such as Figure 8 As shown, Figure 8 This is a schematic diagram of a cross-sectional section of a bent pipe according to an embodiment of the present invention. Figure 8 As shown, the end sidewall of the bend overlaps with the sidewall of the first straight pipe of the straight pipe section. The overlapping part is deleted during modeling.

[0091] like Figure 8 The illustration uses 20 typical cross-sections of the volute flow channel. The first bend sidewall A between cross-sections 20 and 19 is divided by the first straight pipe sidewall A01. 19 1. Side wall surface A of the second bend 19 2. Side wall surface A of the third bend 19 3 and the fourth bend side wall A 19 4. The shaded area is the segmentation area; delete the segmentation area. When using the first straight pipe sidewall A01 for segmentation, the first straight pipe sidewall A01 and the four bend pipe sidewalls form the first intersection point Z1 and the second intersection point Z2 in the axial direction of the straight pipe section of the volute flow channel.

[0092] At the first intersection point Z1, a first working plane is established perpendicular to the axial direction of the straight pipe section of the volute flow channel, and the first working plane is used to cut the side wall surface A01 of the first straight pipe. For example... Figure 8 As shown, the cut is perpendicular to the axial direction of the straight section of the volute flow channel. Similarly, at the second intersection point Z2, a second working plane is established perpendicular to the axial direction of the straight section of the volute flow channel, and the first straight pipe sidewall A01 is cut using the second working plane. The two cutting operations divide the first straight pipe sidewall into three sub-sidewalls.

[0093] Step S107: Construct the seat ring surface based on the seat ring arc edge connected by the adjacent second curve and the second curve.

[0094] Specifically, for sections 1 to n, the seat ring surface is constructed based on the seat ring arc edge connected by adjacent second curves and second curves.

[0095] Please see Figure 9 , Figure 9 This is a schematic diagram of a seat ring for a volute flow channel according to an embodiment of the present invention. A seat ring of fixed height H is arranged inside the volute, such as... Figure 9 The gray area simulates the seat ring and guide vane.

[0096] Step S108: Construct the volute flow channel mesh based on the cross-sectional arc edge, the first curve, the second curve, the side wall surface, and the seat ring surface.

[0097] Please see Figure 10 , Figure 10 This is a schematic diagram of mesh modeling for a volute flow channel according to an embodiment of the present invention. Based on the cross-sectional arc edge, the first curve, the second curve, the side wall surface, and the seat ring surface, the number of equal segments for each edge is set as needed, and each surface region is divided using a mapping method or a non-mapping method to form a high-quality mesh element for the volute flow channel.

[0098] The finite element modeling method for volute flow channels provided in this embodiment constructs typical cross-sections to divide straight and curved pipe sections, and then performs different meshing on the straight and curved sections respectively. For the straight pipe section, only a uniform sidewall surface is constructed. For the curved pipe section, the influence of the guide vane on the sidewall surface is considered, and a circular arc transition factor is used to construct a sidewall surface different from that of the straight pipe section, which can ensure a smooth transition of the sidewall surface and improve mesh quality. Furthermore, considering the guide vane, a guide vane surface is constructed on top of the sidewall surface, which can improve meshing efficiency, thereby improving the accuracy and reliability of simulation calculations.

[0099] Furthermore, by constructing each typical cross-section based on the cross-sectional parameters of the volute flow channel, and then establishing a corresponding local coordinate system for each typical cross-section, it is possible to perform different analyses on different cross-sections, thereby improving the efficiency of subsequent mesh generation. For straight pipe cross-sections, by uniformly constructing the intersection points of the straight pipe cross-sections, the circular arc edges of the straight pipe cross-sections are also uniformly constructed. This ensures that the curvature of each arc is the same, preventing excessive curvature and generating a high-quality mesh. Considering the position of the guide vane in the bend cross-section, the guide vane is determined to be inside the bend on the circumference of the bend at the end of the cross-section. The intersection point of the guide vane is determined at a height of ±H / 2, and the circular arc edge of the guide vane is further determined. This allows the guide vane to be positioned in the middle of the inner side of the bend. By using the circular arc transition factor to adjust the circular arc of the bend section, a smooth transition of the circular arc in the bend can be ensured, further improving the mesh quality.

[0100] Please see Figure 11 , Figure 11 This is a schematic diagram of the structure of a computer device provided in an optional embodiment of the present invention, such as... Figure 11As shown, the computer device includes one or more processors 10, memory 20, and interfaces for connecting the components, including high-speed interfaces and low-speed interfaces. The components communicate with each other via different buses and can be mounted on a common motherboard or otherwise installed as needed. The processors can process instructions executed within the computer device, including instructions stored in or on memory to display graphical information of a GUI on external input / output devices (such as display devices coupled to the interfaces). In some alternative implementations, multiple processors and / or multiple buses can be used with multiple memories and multiple memory modules, if desired. Similarly, multiple computer devices can be connected, each providing some of the necessary operations (e.g., as a server array, a group of blade servers, or a multiprocessor system). Figure 11 Take a processor 10 as an example.

[0101] Processor 10 may be a central processing unit, a network processor, or a combination thereof. Processor 10 may further include a hardware chip. The hardware chip may be an application-specific integrated circuit (ASIC), a programmable logic device (PLD), or a combination thereof. The programmable logic device may be a complex programmable logic device (CAMP), a field-programmable gate array (FPGA), a general-purpose array logic (GDA), or any combination thereof.

[0102] The memory 20 stores instructions executable by at least one processor 10 to cause the at least one processor 10 to perform the method shown in the above embodiments.

[0103] The memory 20 may include a program storage area and a data storage area. The program storage area may store the operating system and applications required for at least one function; the data storage area may store data created based on the use of the computer device. Furthermore, the memory 20 may include high-speed random access memory and may also include non-transitory memory, such as at least one disk storage device, flash memory device, or other non-transitory solid-state storage device. In some alternative embodiments, the memory 20 may optionally include memory remotely located relative to the processor 10, and these remote memories may be connected to the computer device via a network. Examples of such networks include, but are not limited to, the Internet, intranets, local area networks, mobile communication networks, and combinations thereof.

[0104] The memory 20 may include volatile memory, such as random access memory; the memory may also include non-volatile memory, such as flash memory, hard disk or solid-state drive; the memory 20 may also include a combination of the above types of memory.

[0105] The computer device also includes an input device 30 and an output device 40. The processor 10, memory 20, input device 30, and output device 20 can be connected via a bus or other means. Figure 11 Taking the example of a connection between China and Israel via a bus.

[0106] Input device 30 can receive input numerical or character information, and generate key signal inputs related to user settings and function control of the computer device, such as a touchscreen, keypad, mouse, trackpad, touchpad, joystick, one or more mouse buttons, trackball, joystick, etc. Output device 40 may include display devices, auxiliary lighting devices (e.g., LEDs), and haptic feedback devices (e.g., vibration motors). The aforementioned display devices include, but are not limited to, liquid crystal displays, light-emitting diodes, displays, and plasma displays. In some alternative embodiments, the display device may be a touchscreen.

[0107] This invention also provides a computer-readable storage medium. The methods described above according to embodiments of the invention can be implemented in hardware or firmware, or implemented as computer code that can be recorded on a storage medium, or implemented as computer code downloaded via a network and originally stored on a remote storage medium or a non-transitory machine-readable storage medium and then stored on a local storage medium. Thus, the methods described herein can be processed by software stored on a storage medium using a general-purpose computer, a dedicated processor, or programmable or dedicated hardware. The storage medium can be a magnetic disk, optical disk, read-only memory, random access memory, flash memory, hard disk, or solid-state drive, etc.; further, the storage medium can also include combinations of the above types of memory. It is understood that computers, processors, microprocessor controllers, or programmable hardware include storage components capable of storing or receiving software or computer code, which, when accessed and executed by the computer, processor, or hardware, implements the methods shown in the above embodiments.

[0108] A portion of this invention can be applied as a computer program product, such as computer program instructions, which, when executed by a computer, can invoke or provide the methods and / or technical solutions according to the invention through the operation of the computer. Those skilled in the art will understand that the forms in which computer program instructions exist in a computer-readable medium include, but are not limited to, source files, executable files, installation package files, etc. Correspondingly, the ways in which computer program instructions are executed by a computer include, but are not limited to: the computer directly executing the instructions, or the computer compiling the instructions and then executing the corresponding compiled program, or the computer reading and executing the instructions, or the computer reading and installing the instructions and then executing the corresponding installed program. Here, the computer-readable medium can be any available computer-readable storage medium or communication medium accessible to a computer.

[0109] Although embodiments of the invention have been described in conjunction with the accompanying drawings, those skilled in the art can make various modifications and variations without departing from the spirit and scope of the invention, and such modifications and variations all fall within the scope defined by the appended claims.

Claims

1. A method of finite element modeling of a volute flow passage, characterized by, The method comprises: a plurality of typical sections are constructed based on the section parameters of the volute flow channel, the typical sections comprising straight pipe sections and elbow pipe sections; for the straight pipe sections, a straight pipe section circumference is constructed with a section center, a first number of straight pipe section intersection points are uniformly determined on the straight pipe section circumference, and a first number of straight pipe section arc edges are constructed by connecting adjacent straight pipe section intersection points; for the elbow pipe sections, an elbow pipe section circumference is constructed with a section center, two seat ring intersection points are determined on the inner side of the elbow pipe section circumference based on a preset height, a seat ring guide vane arc edge is constructed by connecting the two seat ring intersection points, a first number of elbow pipe section intersection points are determined on the arc long edge connecting the two seat ring intersection points based on an arc transition factor, and a first number of elbow pipe section arc edges are constructed by connecting adjacent elbow pipe section intersection points and connecting adjacent elbow pipe section intersection points and the seat ring intersection points; for adjacent typical sections, a first number of first curves are constructed by connecting corresponding section intersection points, and two second curves are constructed by connecting corresponding seat ring intersection points for adjacent elbow pipe sections; the section intersection points comprise the straight pipe section intersection points and the elbow pipe section intersection points; a side wall surface is constructed based on adjacent first curves and section arc edges connected by the first curves; the section arc edges comprise the straight pipe section arc edges and the elbow pipe section arc edges; a seat ring surface is constructed based on adjacent second curves and seat ring arc edges connected by the second curves; a volute flow channel grid is constructed based on the section arc edges, the first curves, the second curves, the side wall surface, and the seat ring surface.

2. The volute passage finite element modeling method of claim 1, wherein, The method comprises: a plurality of typical sections are constructed based on the section parameters of the volute flow channel, the typical sections comprising straight pipe sections and elbow pipe sections; the section parameters of the volute flow channel are obtained, the section parameters comprising a center distance of a section center from a coordinate origin, a section circumference radius, and a section angle; a plurality of the typical sections are determined in the volute flow channel based on the section parameters; the typical sections are named from the straight pipe sections to the elbow pipe sections, and are sequentially 0-n sections, wherein the 0 section is the straight pipe section, and the 1-n sections are the elbow pipe sections; 3. The volute passage finite element modeling method of claim 2, wherein, for each typical section, a local coordinate system is constructed with a line direction of the section center from the coordinate origin as an X axis and an elevation direction of the volute flow channel as a Y axis. The method comprises: for the straight pipe sections, a straight pipe section circumference is constructed with a section center, a first number of straight pipe section intersection points are uniformly determined on the straight pipe section circumference, and a first number of straight pipe section arc edges are constructed by connecting adjacent straight pipe section intersection points; for the straight pipe sections, the straight pipe section circumference is constructed with the section center, and a first straight pipe section intersection point, a second straight pipe section intersection point, a third straight pipe section intersection point, and a fourth straight pipe section intersection point are sequentially and uniformly determined in a counterclockwise direction of the X axis; An arc edge connecting the first straight pipe section intersection point and the fourth straight pipe section intersection point is constructed to obtain a first straight pipe section arc edge, an arc edge connecting the first straight pipe section intersection point and the second straight pipe section intersection point is constructed to obtain a second straight pipe section arc edge, an arc edge connecting the second straight pipe section intersection point and the third straight pipe section intersection point is constructed to obtain a third straight pipe section arc edge, and an arc edge connecting the third straight pipe section intersection point and the fourth straight pipe section intersection point is constructed to obtain a fourth straight pipe section arc edge.

4. The volute passage finite element modeling method of claim 3, wherein, For the elbow pipe section, an elbow pipe section circumference is constructed with the section center, two seat ring intersection points are determined on the inner side of the elbow pipe of the elbow pipe section circumference based on a preset height, and an arc short edge connecting the two seat ring intersection points is constructed to obtain a seat ring arc edge, including: For the elbow pipe section, the elbow pipe section circumference is constructed with the section center, a first seat ring intersection point is determined at a Y-axis height H / 2 on the inner side of the elbow pipe of the elbow pipe section circumference, and a second seat ring intersection point is determined at a Y-axis height -H / 2 on the inner side of the elbow pipe of the elbow pipe section circumference. An arc short edge connecting the first seat ring intersection point and the second seat ring intersection point is constructed to obtain the seat ring arc edge.

5. The volute passage finite element modeling method of claim 4, wherein, The first number of elbow pipe section intersection points is determined on the arc long edge connecting the two seat ring intersection points based on the arc transition factor, adjacent elbow pipe section intersection points are connected, and adjacent elbow pipe section intersection points and the seat ring intersection points are connected to construct the first number of elbow pipe section arc edges, including: When the elbow pipe section is 1 section, the elbow pipe section circumference is constructed with the section center, a first elbow pipe section intersection point, a second elbow pipe section intersection point, a third elbow pipe section intersection point, and a fourth elbow pipe section intersection point are determined on the arc long edge in the counterclockwise direction of the X-axis in sequence, and the angles of the first elbow pipe section intersection point, the second elbow pipe section intersection point, the third elbow pipe section intersection point, and the fourth elbow pipe section intersection point are the same as those of the first straight pipe section intersection point, the second straight pipe section intersection point, the third straight pipe section intersection point, and the fourth straight pipe section intersection point, respectively. The arc edge between the first elbow pipe section intersection point and the first seat ring intersection point is taken as a first elbow pipe connection arc edge, and the arc edge between the fourth elbow pipe section intersection point and the second seat ring intersection point is taken as a second elbow pipe connection arc edge. When the cross-section of the bend is 2 to n sections, based on the circular arc transition factor f i The first bend of the pipe at section i connects to the arc edge l. i The first arc length of 1′ determines the first bend connecting arc edge l of section i+1. i+1 The length of the second arc of arc 1′ is: arc(l i+1 1′)=f i ×arc(l i 1′); where the circular arc transition factor f i Less than zero; based on the arc transition factor f i and the second bend connection arc edge l of the i section i 2' of the third arc length determines the second bend connection arc edge l of the i+1 section i+1 2' of the fourth arc length; The first elbow pipe section intersection point is determined in the positive direction of the Y-axis based on the second arc length, the fourth elbow pipe section intersection point is determined in the negative direction of the Y-axis based on the fourth arc length, the second elbow pipe section intersection point and the third elbow pipe section intersection point are determined based on the second straight pipe section intersection point and the third straight pipe section intersection point, and the angles of the second elbow pipe section intersection point and the third elbow pipe section intersection point are the same as those of the second straight pipe section intersection point and the third straight pipe section intersection point, respectively. The first number of elbow pipe section intersection points is determined on the arc long edge connecting the two seat ring intersection points based on the arc transition factor, adjacent elbow pipe section intersection points are connected, and adjacent elbow pipe section intersection points and the seat ring intersection points are connected to construct the first number of elbow pipe section arc edges, including: When the elbow pipe section is 1 section, the elbow pipe section circumference is constructed with the section center, a first elbow pipe section intersection point, a second elbow pipe section intersection point, a third elbow pipe section intersection point, and a fourth elbow pipe section intersection point are determined on the arc long edge in the counterclockwise direction of the X-axis in sequence, and the angles of the first elbow pipe section intersection point, the second elbow pipe section intersection point, the third elbow pipe section intersection point, and the fourth elbow pipe section intersection point are the same as those of the first straight pipe section intersection point, the second straight pipe section intersection point, the third straight pipe section intersection point, and the fourth straight pipe section intersection point, respectively. The arc edge between the first elbow pipe section intersection point and the first seat ring intersection point is taken as a first elbow pipe connection arc edge, and the arc edge between the fourth elbow pipe section intersection point and the second seat ring intersection point is taken as a second elbow pipe connection arc edge. The first elbow pipe section intersection point is determined in the positive direction of the Y-axis based on the second arc length, the fourth elbow pipe section intersection point is determined in the negative direction of the Y-axis based on the fourth arc length, the second elbow pipe section intersection point and the third elbow pipe section intersection point are determined based on the second straight pipe section intersection point and the third straight pipe section intersection point, and the angles of the second elbow pipe section intersection point and the third elbow pipe section intersection point are the same as those of the second straight pipe section intersection point and the third straight pipe section intersection point, respectively. An arc edge connecting the first elbow section intersection point and the fourth elbow section intersection point is constructed to obtain a first elbow section arc edge, an arc edge connecting the first elbow section intersection point and the second elbow section intersection point is constructed to obtain a second elbow section arc edge, an arc edge connecting the second elbow section intersection point and the third elbow section intersection point is constructed to obtain a third elbow section arc edge, and an arc edge connecting the third elbow section intersection point and the fourth elbow section intersection point is constructed to obtain a fourth elbow section arc edge.

6. The volute passage finite element modeling method of claim 5, wherein, The side wall surface is constructed based on the adjacent first curve and the section arc edge connected to the first curve, and the method further comprises: For the 0 section and the 1 section, a first straight pipe side wall surface is constructed based on the adjacent first curve, the first straight pipe section arc edge and the first elbow section arc edge; a second straight pipe side wall surface is constructed based on the adjacent first curve, the second straight pipe section arc edge and the second elbow section arc edge; a third straight pipe side wall surface is constructed based on the adjacent first curve, the third straight pipe section arc edge and the third elbow section arc edge; and a fourth straight pipe side wall surface is constructed based on the adjacent first curve, the fourth straight pipe section arc edge and the fourth elbow section arc edge. For the 1-n section, a first elbow side wall surface is constructed based on the adjacent first curve and the first elbow section arc edge; a second elbow side wall surface is constructed based on the adjacent first curve and the second elbow section arc edge; a third elbow side wall surface is constructed based on the adjacent first curve and the third elbow section arc edge; and a fourth elbow side wall surface is constructed based on the adjacent first curve and the fourth elbow section arc edge.

7. The volute passage finite element modeling method of claim 6, wherein, The seat ring surface is constructed based on the adjacent second curve and the seat ring arc edge connected to the second curve, and the method further comprises: The first straight pipe side wall surface is used to cut the first elbow side wall surface, the second elbow side wall surface, the third elbow side wall surface and the fourth elbow side wall surface between the n section and the n-1 section, and the cutting area is deleted; First and second intersection points of the first straight pipe side wall surface and the elbow side wall surface in the axial direction of the straight pipe section of the volute flow passage are obtained; First and second working planes are respectively established in the axial vertical direction of the straight pipe section of the volute flow passage at the first and second intersection points, and the first straight pipe side wall surface is cut by using the first and second working planes to divide the first straight pipe side wall surface into three sub side wall surfaces.

8. The volute passage finite element modeling method of claim 1, wherein, The seat ring surface is constructed based on the adjacent second curve and the seat ring arc edge connected to the second curve, and the method further comprises: For the 1-n section, the seat ring surface is constructed based on the adjacent second curve and the seat ring arc edge connected to the second curve.

9. A computer device, comprising: The method further comprises: A memory and a processor are communicatively connected, and computer instructions are stored in the memory. The processor executes the computer instructions to perform the volute flow passage finite element modeling method according to any one of claims 1 to 8.

10. A computer-readable storage medium, characterized in that, The computer readable storage medium stores computer instructions for causing a computer to execute the volute flow passage finite element modeling method in any one of claims 1 to 8.

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