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53 results about "Cauchy boundary condition" patented technology

In mathematics, a Cauchy (French: [koʃi]) boundary condition augments an ordinary differential equation or a partial differential equation with conditions that the solution must satisfy on the boundary; ideally so to ensure that a unique solution exists. A Cauchy boundary condition specifies both the function value and normal derivative on the boundary of the domain. This corresponds to imposing both a Dirichlet and a Neumann boundary condition. It is named after the prolific 19th-century French mathematical analyst Augustin Louis Cauchy.

Structural dynamical model modification-based prestress recognition method

The invention discloses a structural dynamical model modification-based prestress recognition method, and relates to the prestress recognition of pre-tensioning structures. The method comprises the following steps: establishing a finite element model of a structure; converting the boundary condition such as clamped support or simple support into spring support in three or two directions, and applying an axial prestress at the same time; calculating a fixed frequency and a fixed vibration mode of the structure through commercial finite element software; carrying out test and recognition by utilizing a test modal analysis technology, so as to obtain the fixed frequency and the fixed vibration mode of the structure; and recognizing the spring support rigidity and prestress of the boundary at the same time on the basis of a model modification technology. The method is simple, high in recognition precision and convenient to operate; and through considering the influences of the boundary condition, the reliability is high. By taking MAC as a target function, the completeness of the test data is supplemented; the optimization through a genetic algorithm is more beneficial for obtaining the globally optimal solution; and the whole modification model can be automatically driven to carry out solving.
Owner:XIAMEN UNIV

Stirred tank reactor simulation method based on immersed boundary method

The present invention provides a stirred tank reactor simulation method based on an immersed boundary method. The method includes: a preparation phase including determination and setting of calculating parameters, generation of fluid grid files, generation of Lagrange mark point information, and preparation of calculating resources; numerical calculation: setting boundary conditions of computational domains and solving velocity fields and temperature fields based on fluid grids; combining with a discrete element method to achieve an interface analytic simulation of two-phase flow of particle flow, wherein the immersed boundary method is directly employed to apply non-slip boundary conditions to particle surfaces; a post-processing phase, and outputting information of each Euler mesh and information of each particle after a simulation is completed. According to the characteristics of different boundaries, in the calculation, the mixed immersed boundary method is employed to process, and the mass numerical simulation of turbulent flow in the stirred tank reactor is achieved through combination of large eddy simulation and high performance parallel computing technology. The simulation method may be applied to simulation of turbulent flow and simulation of solid particle suspension in the stirred tank reactor and the like.
Owner:INST OF PROCESS ENG CHINESE ACAD OF SCI

Method for carrying out parallelization numerical simulation on hydrodynamic force conditions of river provided with cascade hydropower station

The invention relates to a method for carrying out parallelization numerical simulation on hydrodynamic force conditions of a river provided with a cascade hydropower station. According to the method, a closed equation set is established for each course by setting an upper level or a flow-level relation of a river channel structure as a lower boundary condition of an upper reach and supposing that a lower level of the structure is used as an upper boundary condition of a lower reach; and each equation set only comprises variables of the same reach, a coefficient matrix formed by adopting an implicit difference scheme to carry out dispersion are still kept having the banded characteristics and the physically related reaches are relatively independent on the aspect of value, so that the variables of the reaches can be solved by applying the banded matrix and the aim of ensuring the flows at both sides of the structure equal is fulfilled by iterating and correcting the lower level of the structure. Compared with the conventional method of solving the hydrodynamic conditions of the river by the single course, the method disclosed by the invention has the advantages that the rapid parallel solution of the multi-course river hydrodynamic conditions can be implemented without modifying an original sequence program of solving the river hydrodynamic conditions on a large scale; the operation process has short time consumption; and the efficiency is high.
Owner:TSINGHUA UNIV

Modeling method for judging cutting force of orthogonal turn-milling machining end face on basis of boundary conditions

The invention discloses a modeling method for judging the cutting force of an orthogonal turn-milling machining end face on the basis of boundary conditions. The method includes the five steps of firstly, establishing a tool coordinate system; secondly, dividing the tool end face into a plurality of microelements in the radial direction; thirdly, judging whether the microelements participate in cutting or not through the boundary conditions; fourthly, obtaining thickness of cuttings, and calculating the microelement cutting force on the basis of the thickness; fifthly, adding the cutting force on all the microelements participating in cutting to obtain the total cutting force. By means of the method for judging the cutting state of the microelements through a united boundary condition equation, the disadvantage that in the prior art, when the orthogonal turn-milling machining end face blade cutting force is predicted, the cutting progress needs to be divided into multiple stages to be discussed is avoided; due to the fact that the influences of jumping are taken into consideration, the prediction effect is more accurate. The expression is simple and easy to understand, the complex characteristic angle calculation is omitted, and the modeling method is suitable for development of virtual machining simulation systems and has good application aspects.
Owner:BEIHANG UNIV

New submodel finite element analysis method based on cutting boundary deformation constraint

The invention discloses a new submodel finite element analysis method based on cutting boundary deformation constraint. The content of the method comprises: building a complete machine simplified model, analyzing; carrying out postprocessing to cutting boundary nodes of the complete machine model; building a finite element model-a submodel of a partial structure; adding a deformation coupling constraint equation to the cutting boundary of the submodel, adding a displacement interpolation boundary condition and a force boundary condition; analyzing the submodel; and checking that the distance from a cutting boundary to a stress gathered region is far enough. The method of the invention is advantaged by that when applying the boundary conditions to the cutting boundary of the submodel, the displacement interpolation boundary condition is added to one part of the cutting boundary, the constraint equation and the force boundary condition are added to the other part; the accuracy of the boundary conditions of the submodel is ensured; compared with the traditional submodel finite element analysis method, in adoption of the new submodel finite element analysis method, the demand of the complete machine model is reduced; the complete machine model is greatly simplified; and the complete machine analysis efficiency and the calculation precision of the submodel are improved.
Owner:JIANGSU XCMG CONSTR MASCH RES INST LTD

Multi-loop cable steady-state temperature rise acquisition method adapting to various boundary conditions

The invention relates to a multi-loop cable steady-state temperature rise acquisition method adapting to various boundary conditions. The method comprises the following steps: 1) constructing a multi-loop cable steady-state temperature rise model adapting to various boundary conditions according to a thermal field superposition principle; 2) acquiring an initial temperature rise matrix T<0> according to a set initial heat flow matrix Q<0>; 3) performing reduction according to the initial temperature rise matrix T<0> and the boundary conditions to form a reduced heat flow matrix Q<1>; 4) acquiring a next-step temperature rise matrix T<1> according to the reduced heat flow matrix Q<1>; and 5) judging whether a maximum difference value among all elements which correspond to the initial temperature rise matrix T<0> and the next-step temperature rise matrix T<1> is greater than a convergence threshold or not, if so, substituting T<0> with T<1> and returning to the step 3), and otherwise, judging that a current corresponding temperature rise matrix is a steady-state temperature rise matrix. Compared with the prior art, the multi-loop cable steady-state temperature rise acquisition method has the advantages of easiness and accuracy in calculation, high calculation efficiency, advanced algorithm, adaptability to various boundary conditions, and the like.
Owner:SHANGHAI MUNICIPAL ELECTRIC POWER CO +1

Component topology optimization design method for complex assembly

InactiveCN102880761ASpecial data processing applicationsElement modelTruss topology optimization
The invention relates to a component topology optimization design method for a complex assembly, and aims to solve the problem of difficulty in the determination of boundary conditions in a topology optimization design process for components of the complex assembly. The method comprises the following steps of: establishing and analyzing an assembly finite element model, and extracting and exporting the boundary conditions of a sub-structure which is a component to be optimized in the assembly model; loading the extracted boundary conditions onto the component to be optimized, and performing topology optimization on the component by utilizing a density method; when a change in the size of an optimization object exceeds a preset value, re-extracting the boundary conditions of the component, and continuing performing the topology optimization on the component; and when the optimization object is consistent with an iteration stopping condition, stopping optimization iteration to obtain a final optimal structure. An accurate optimal structure of the component can be obtained by accurately determining the boundary conditions of the component, and the problems of a plurality of design variables, inaccurate contact definition of combination parts between components and large calculated amount caused by the direct adoption of the assembly for the topology optimization design are solved.
Owner:UNIV OF SHANGHAI FOR SCI & TECH

Implementation method for mixed absorbing boundary condition applied to variable density acoustic wave equation

ActiveCN103698814AImproved the effect of suppressing border reflectionsSuppression is effectiveSeismic signal processingWave equationWave field
The invention relates to an implementation method for a mixed absorbing boundary condition applied to a variable density acoustic wave equation. The implementation method comprises the steps of dividing a whole simulation region into an internal region and a boundary region, calculating the wave field value of a sound wave of each absorbing boundary layer by using the variable density acoustic wave equation and a variable density AWWE (Arbitrary Wide-angle wave equation) respectively, and performing linear weighting on the two calculation results to obtain the wave field value of the sound wave of each absorbing boundary layer. On the basis of realizing a single variable density AWWE absorbing boundary layer and in 2D (2 dimensional) and 3D (3 dimensional) space coordinate systems, the wave field value of the sound wave of each absorbing boundary layer is calculated by respectively adopting a combination mode of processing edges of the variable density AWWE and processing angles of a modified 15-degree one-way wave equation, and a combination mode of processing faces of the variable density AWWE, the processing edges of the modified 15-degree one-way wave equation and the processing angles of a 5-degree one-way wave equation, and the mixed absorbing boundary condition of the variable density AWWE is realized. The implementation method can be widely applied to the numerical simulation of constant density and variable density acoustic wave equations.
Owner:CHINA NAT OFFSHORE OIL CORP +1

Reverse time migration method of carbonatite reservoir

The invention discloses a reverse time migration method of a carbonatite reservoir. By aiming at a phenomenon that a fracture-cavity pore construction of carbonatite is always companied with fracture and big-angle form distortion formed due to construction movement, the reverse time migration method is used for precisely depicting the carbonatite. A finite difference method is used for solving a wave equation to simulate a seismic wave field; a processing method for the wave field to transmit to a boundary adopts a PML (Perfectly Matched Layer) absorbing boundary condition; a seismic origin wave field recovery part adopts a reverse PML wave field recovery technology; and a calculation part adopts a GPU (Graphics Processing Unit) parallel acceleration technology. The PML absorbing boundary condition is adopted, so that the invention can more effectively eliminate boundary reflection interference than a random boundary condition; since the reverse PML wave field recovery technology is adopted, compared with a traditional wave field storage strategy, the invention can greatly reduce requirements on a storage amount on the premise that a calculated amount is not increased, a wave field recovery effect is good, amplitude fading is avoided, and operation efficiency is improved by adopting the GPU parallel acceleration technology.
Owner:NORTHEAST GASOLINEEUM UNIV

Combined absorbing boundary condition applied to sound wave finite difference numerical simulation

The invention discloses a combined absorbing boundary condition applied to sound wave finite difference numerical simulation, and belongs to the field of seismic exploration numerical simulation. The combined absorbing boundary condition applied to the sound wave finite difference numerical simulation specifically comprises the following steps of: when sound wave equation numerical simulation is performed based on a 2N-order (N>0) accuracy staggered-mesh finite difference scheme, at first, setting L (L>N) perfectly matched layers (PML) at an artificial truncated boundary, and absorbing boundary reflected waves from a central wave field by using a PML boundary condition; and then, for N layers of boundaries outside the PML, by using an Higdon three-order absorbing boundary condition, absorbing outer boundary reflexes of the PML. According to the method provided by the present invention, by fully utilizing the advantages of both the PML boundary condition and the Higdon three-order absorbing boundary condition are fully utilized, the boundary reflexes of inner layers and outer layers of artificial boundaries can be effectively absorbed, thereby achieving high-accuracy finite difference numerical simulation.
Owner:OCEAN UNIV OF CHINA

Booster reentry motion analysis method based on dynamic boundary condition

The invention provides an analysis method for predicting pneumatic load and movement rules of a reentry process of a booster. According to the method, a three-dimensional unsteady flow field of the reentry process of the booster is carried out, on the basis of a multiple reference coordinate system principle and a sliding mesh technique, a dynamic boundary condition is combined, and analysis of the reentry motion of the booster is carried out. According to the Newton's laws of motion and a theorem of moment of momentum, and user programs used for calculating height, speed, pitch angle speed and other parameters of the reentry process of the booster are written. The user programs can control rotation of a rotation field to achieve pitching motions of the booster, and the physical environment in the reentry process of the booster is simulated through changes of inlet, outlet and far field boundary condition parameters of a static field. In the process that time advance is used for solving the unsteady flow field, a solver calls the user programs in real time, real-time updating of boundary conditions and the rotation speed of the rotation field is achieved, calculation is never stopped until the booster arrives at the ground, and accordingly the transient pneumatic load and the motion parameters of the booster are obtained.
Owner:BEIHANG UNIV

Airworthiness compliance verification method for combustion chamber casing

The invention discloses an airworthiness compliance verification method for a combustion chamber casing. The method comprises the steps of (1) determining a load boundary condition of the combustion chamber casing according to clauses and requirements of CCAR 33.64, and determining a displacement boundary condition according to a constraint situation under an actual working condition; (2) conducting an eigenvalue buckling analysis on the combustion chamber casing, and obtaining eigenvalues and eigenvalue buckling modes under different orders; (3) selecting a first-order buckling instability portion of the casing as analysis focus, and performing a geometrical and material double nonlinear buckling analysis under a condition (1); (4) calculating a stability safety factor as the condition for determining the stability of the casing; (5) using a nonlinear buckling critical load obtained in (3) through analysis as an internal and external gas pressure difference, loading the boundary condition in (1) for a static strength analysis, and determining the compliance of the combustion chamber casing with the airworthiness clauses. The method simultaneously considers the stability and staticstrength of the combustion chamber casing, proposes a targeted verification analysis method, and indicates the airworthiness compliance of the combustion chamber casing.
Owner:BEIHANG UNIV

Reservoir area beach hydrothermal migration model construction method based on Ren model

InactiveCN110598287AFit closelyStrong temperature fluctuationsSpecial data processing applicationsGeomorphologyRichards equation
The invention discloses a reservoir area beach hydrothermal migration model construction method based on a Ren model, and the method comprises the steps: firstly constructing a reservoir area beach hydrothermal migration mathematic model based on a Richards equation and a thermal convection-diffusion equation, and describing the relation between a temperature field and a seepage field; setting boundary conditions for the reservoir area beach hydrothermal migration model, wherein the boundary conditions comprise boundary conditions of a seepage field and boundary conditions of a temperature field; and finally, solving the reservoir area beach hydrothermal migration model, and describing the relationship among the equivalent heat conductivity coefficient of the soil body, the water content and each physical parameter of the soil body by adopting a Ren model in the solving process, so as to obtain the space-time change characteristics of the temperature field in the reservoir area beach under the change condition. The problem that in the prior art, the influence mechanism of reservoir area beach hydrothermal migration under the changing condition cannot be accurately simulated due tothe factors that model parameters are difficult to determine, errors are large and the like is solved.
Owner:XIAN UNIV OF TECH

Automatic partitioning and encryption method for structural grid

The invention discloses an automatic partitioning and encryption method for a structural grid. The method comprises the following steps: step 1, grouping grid blocks of an original structural grid according to boundary conditions of the original structural grid; step 2, according to the encryption coefficient, on the premise that the space topology of the original structure grid is not changed, performing encryption reconstruction on the grid block of each group; step 3, reassembling the encrypted and reconstructed groups, and updating boundary conditions among different groups to obtain an encrypted and reconstructed grid; and step 4, checking each item of the encrypted reconstructed grid, and outputting the encrypted reconstructed grid and boundary conditions thereof. According to the boundary conditions of the original structural grid, grouping is automatically carried out, encryption reconstruction is automatically carried out, and the encryption reconstruction grid and the boundary conditions of the encryption reconstruction grid are automatically output, so that automatic block encryption of the structural grid is realized, manual intervention is completely not needed, high efficiency and stability are realized, and errors possibly caused by manual operation are completely eradicated.
Owner:CALCULATION AERODYNAMICS INST CHINA AERODYNAMICS RES & DEV CENT
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