Simulation method of wave energy acquisition device based on STAR-CCM +

By using STAR-CCM+ simulation method in the wave energy capture device, adjusting the pendulum wing length and detailed mesh division, the problems of fixed structural parameters and inaccurate wave input in the existing technology are solved, and the stability and simulation of energy capture are improved Accuracy of the results.

CN119167827AInactive Publication Date: 2024-12-20HARBIN ENG UNIV
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Patent Information

Application Number
CN202411341254.X
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2024-09-25
Publication Date
2024-12-20
Estimated Expiration
Not applicable · inactive patent

AI Technical Summary

Technical Problem

In the existing simulation methods of wave energy capture devices, the structural parameters are fixed and the wave input data are inaccurate, resulting in fluctuations in energy capture efficiency and lack of accuracy and reliability in simulation results.

Method used

The simulation method based on STAR-CCM+ is adopted, and the dynamic changes and nonlinear characteristics of the wave are fully considered by adjusting the length of the pendulum wing, adapting to different wave conditions, optimizing the energy capture efficiency, and through detailed meshing and physical model settings.

Benefits of technology

It improves the stability and efficiency of energy capture, significantly enhances the accuracy and reliability of simulation results, and can better adapt to different sea conditions.

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Abstract

The invention provides a simulation method of a wave energy acquisition device based on STAR-CCM +. The method comprises the following steps: step 1, geometric modeling; 2, creating an experiment pool, and dividing regions; step 3, carrying out grid division; 4, setting a physical model, and adjusting wave and swing wing parameters; 5, setting multi-body movement; step 6, solving setting; and 7, analyzing a simulation operation result. According to the method, by adjusting the length of the swing wing, the wave energy acquisition device can adapt to different sea wave conditions, the energy capture efficiency is optimized, the stability and efficiency of energy capture are improved, and the accuracy and reliability of a simulation result are also remarkably enhanced.
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Description

Technical Field

[0001] The present invention belongs to the technical field of wave energy power generation, and in particular relates to a simulation method of a wave energy acquisition device based on STAR-CCM+. Background Art

[0002] As a form of renewable energy, wave energy has high energy density and is widely distributed around the world. It has broad prospects for utilization and great potential. Wave energy can provide stable and predictable energy output, which makes it advantageous in terms of energy supply stability. Compared with wind and solar energy, wave energy has a more stable energy source and is less affected by weather changes.

[0003] There are many types of wave energy capture devices, including floating type, oscillating water column type, overriding type, etc. Each device has its own unique application scenarios and advantages. These devices can effectively convert wave energy into mechanical energy or electrical energy for power generation or other applications. In particular, the variable swing wing length wave energy capture device can optimize the energy capture efficiency by adjusting the length of the swing wing, which can better adapt to different sea conditions and improve the overall performance of the device, which places high demands on simulation requirements under different parameters.

[0004] In previous simulation methods, it is usually assumed that the structural parameters of the device are fixed, such as the length of the swing wing. Such simplified processing cannot truly reflect the dynamic response of the device under different wave conditions. For example, in a swing-wing wave energy device, the fixed-length swing wing may not be able to adapt to the changes in wave height and wavelength in the ocean, resulting in significant fluctuations in energy capture efficiency.

[0005] In addition, traditional simulation methods often use average or representative wave conditions when processing wave input data, ignoring the highly nonlinear and random nature of the ocean environment. This simplification results in a lack of accuracy and reliability in the simulation results, and is unable to fully predict the performance of the device in actual operation. Summary of the invention

[0006] The purpose of the present invention is to solve the problem that the structural parameters of the existing model are fixed and the wave input data is inaccurate, and a simulation method of a wave energy harvesting device based on STAR-CCM+ is proposed. By adjusting the length of the swing wing, the wave energy harvesting device can adapt to different wave conditions and optimize the energy capture efficiency, which not only improves the stability and efficiency of energy capture, but also significantly enhances the accuracy and reliability of the simulation results.

[0007] The present invention is implemented by the following technical solution. The present invention proposes a simulation method for a wave energy acquisition device based on STAR-CCM+, and the method comprises the following steps:

[0008] Step 1: Geometric modeling: Use the built-in 3D-CAD module in STAR-CCM+ to draw the three-dimensional geometric model of the wave energy harvesting device;

[0009] Step 2: Create an experimental pool and divide the area: In STAR-CCM+, create a numerical experimental pool around the wave energy acquisition device, divide the background area, motion area, free surface density area and overlapping grid area required for calculation; and define the boundary type;

[0010] Step 3: Meshing: Divide the three-dimensional geometric model into a finite number of mesh units;

[0011] Step 4: Set the physical model and adjust the wave and flap parameters: Select and define the required physical model, activate VOF wave damping, and adjust the wave period, wave height, and flap length parameters according to the wave input;

[0012] Step 5, multi-body motion settings: define dynamic fluid-solid interaction, define the mass, moment of inertia and body coordinate system of the wave energy harvesting device, and define the hinge relationship between the swing wing and the main body of the wave energy harvesting device;

[0013] Step 6: Solution settings: Set the solver parameters, including the solution algorithm, time step, and convergence criteria;

[0014] Step 7: Simulation operation result analysis: Perform simulation operation analysis, post-process the operation results, and generate result files.

[0015] Furthermore, in step 2, in STAR-CCM+, a body-shaped geometry is created around the wave energy harvesting device, and the components are Boolean subtracted to subtract the wave energy harvesting device from the body to generate a virtual experimental pool; the surface of the experimental pool is segmented, and the boundary type of each surface is set: symmetry plane, velocity inlet, pressure outlet, overlapping grid and wall.

[0016] Furthermore, in step 2, the static water plane is set as the plane of the geodetic coordinate system, and the direction of the wave velocity is the positive direction of the X-axis; in the numerical experimental water pool, the entrance boundary of the calculation domain is set to be one wavelength away from the origin and located in the negative direction of the X-axis; the exit boundary of the calculation domain is two wavelengths away from the origin and located in the positive direction of the X-axis, and a one-wavelength wave-breaking area is set at the exit.

[0017] Furthermore, in step 3, the basic grid size of the background area is set to 0.2 m and the grid size of the motion area is set to 0.04 m, ensuring that there are 10-20 grids in one wave height direction and the aspect ratio of a single grid is 1:2 or 1:4.

[0018] Furthermore, in step 4, define the physical model Euler phase and VOF wave, set the initial conditions of pressure, velocity and volume fraction, and activate VOF wave damping; specify the wave period and wavelength in Physical Model-VOF Wave-Wave-Fifth-Order VOF Wave, and define the flap length in Geometry-Components.

[0019] Furthermore, in step 5, create dynamic fluid-solid interaction DFBI rotation and translation, and create a new wave energy acquisition device continuum; define the 6-degree-of-freedom properties of the wave energy acquisition device, and create a local initial Cartesian coordinate system at the center of mass; use the rotation joint command in the body coupling to articulate the swing wing and the wave energy acquisition device body, and activate the Z-axis movement and Y-axis rotation properties.

[0020] Furthermore, in step 6, at the solver node, the time step, the maximum number of iterations, the maximum internal iteration in the stop condition, the maximum physical time and the maximum number of steps are set.

[0021] Furthermore, in step 7, the results obtained by simulation calculation include the heave displacement of the wave energy acquisition device body in the Z direction, the angular velocity and angular displacement of the flap, and the wave moment it is subjected to.

[0022] The present invention also proposes an electronic device, comprising a memory and a processor, wherein the memory stores a computer program, and when the processor executes the computer program, the steps of the simulation method of a wave energy acquisition device based on STAR-CCM+ are implemented.

[0023] The present invention also proposes a computer-readable storage medium for storing computer instructions, which, when executed by a processor, implement the steps of a simulation method for a wave energy acquisition device based on STAR-CCM+.

[0024] Beneficial effects of the present invention:

[0025] 1. Adaptive energy capture: Through the variable swing wing length design of the mechanical system, the swing wing length is dynamically adjusted, so that the device can adapt to different wave conditions and optimize energy capture efficiency. This overcomes the problem in the prior art that the fixed swing wing length cannot adapt to different wave conditions, resulting in fluctuations in energy capture efficiency.

[0026] 2. Dynamic simulation accuracy: Fully consider the dynamic changes and nonlinear characteristics of wave input data to perform comprehensive and efficient simulation calculations. This solves the problem that the simplified processing of traditional simulation methods leads to the lack of accuracy and reliability of simulation results. BRIEF DESCRIPTION OF THE DRAWINGS

[0027] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on the provided drawings without paying creative work.

[0028] Figure 1 The present invention is a flow chart of a simulation method of a wave energy acquisition device based on STAR-CCM+.

[0029] Figure 2 It is a schematic diagram of a three-dimensional model of a wave energy acquisition device in the simulation method proposed in the present invention.

[0030] Figure 3 Schematic diagram of mesh division of the three-dimensional model of the wave energy harvesting device.

[0031] Figure 4 A scalar visualization diagram of the motion of the wave energy harvesting device during the simulation solution process. DETAILED DESCRIPTION

[0032] The technical solutions in the embodiments of the present invention will be described clearly and completely below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0033] Combination Figure 1-Figure 4 The present invention proposes a simulation method for a wave energy harvesting device based on STAR-CCM+, the method comprising the following steps:

[0034] Step 1: Geometric modeling: Use the built-in 3D-CAD module in STAR-CCM+ to draw the three-dimensional geometric model of the wave energy harvesting device;

[0035] Step 2: Create an experimental pool and divide the area: In STAR-CCM+, create a numerical experimental pool around the wave energy acquisition device, divide the background area, motion area, free surface density area and overlapping grid area required for calculation; and define the boundary type;

[0036] Step 3: Meshing: Divide the three-dimensional geometric model into a finite number of mesh units;

[0037] Step 4: Set the physical model and adjust the wave and flap parameters: Select and define the required physical model, activate VOF wave damping, and adjust the wave period, wave height, and flap length parameters according to the wave input;

[0038] Step 5, multi-body motion settings: define dynamic fluid-solid interaction, define the mass, moment of inertia and body coordinate system of the wave energy harvesting device, and define the hinge relationship between the swing wing and the main body of the wave energy harvesting device;

[0039] Step 6: Solution settings: Set the solver parameters, including the solution algorithm, time step, and convergence criteria;

[0040] Step 7: Simulation operation result analysis: Perform simulation operation analysis, post-process the operation results, and generate result files.

[0041] In step 1, after the model is built, check the validity of the parts and run surface repair tools to improve the quality of the geometric model.

[0042] In step 2, in STAR-CCM+, a body-shaped geometry is created around the wave energy harvester, and the wave energy harvester is subtracted from the body by Boolean subtraction to generate a virtual experimental pool. The surface of the experimental pool is segmented, and the boundary type of each surface is set: symmetry plane, velocity inlet, pressure outlet, overlapping grid, and wall.

[0043] In step 2, the static water plane is set as the plane of the geodetic coordinate system, and the direction of the wave velocity is the positive direction of the X-axis. In the numerical experimental pool, the entrance boundary of the computational domain is set to be one wavelength away from the origin and located in the negative direction of the X-axis. The exit boundary of the computational domain is set to be two wavelengths away from the origin and located in the positive direction of the X-axis, and a one-wavelength wave-breaking area is set at the exit.

[0044] In step 3, the basic grid size of the background area is set to 0.2 m and the grid size of the motion area is set to 0.04 m, ensuring that there are 10-20 grids in one wave height direction and the aspect ratio of a single grid is 1:2 or 1:4.

[0045] In step 4, define the physical model Euler phase and VOF wave, set the initial conditions of pressure, velocity and volume fraction, and activate VOF wave damping; specify the wave period and wavelength in Physical Model-VOF Wave-Wave-Fifth-Order VOF Wave, and define the flap length in Geometry-Components.

[0046] In step 5, create dynamic fluid-solid interaction DFBI rotation and translation, and create a new wave energy harvesting device continuum; define the 6-degree-of-freedom properties of the wave energy harvesting device, and create a local initial Cartesian coordinate system at the center of mass; use the rotation joint command in the body coupling to articulate the swing wing and the wave energy harvesting device body, and activate the Z-axis movement and Y-axis rotation properties.

[0047] In step 6, in the Solver node, set the time step, maximum number of iterations, maximum internal iterations in the stopping condition, maximum physical time, and maximum number of steps.

[0048] In step 7, the simulation results include the heave displacement of the wave energy acquisition device body in the Z direction, the angular velocity and angular displacement of the flap, and the wave moment it is subjected to.

[0049] Example

[0050] The present invention proposes a simulation method for a wave energy harvesting device based on STAR-CCM+, the method comprising the following steps:

[0051] Step 1: Geometric modeling: Based on the actual three-dimensional size of the wave energy harvesting device, use the built-in 3D-CAD module in STAR-CCM+ to draw the three-dimensional geometric model of the wave energy harvesting device, use the stitching command to synthesize the entity, and after the model is built, run the surface repair tool to check the correctness and effectiveness of the entity. Figure 2 As shown, the three-dimensional geometric model of the wave energy harvesting device consists of a swing wing with adjustable length and a power generation body.

[0052] Step 2: Create an experimental pool and divide the area: In STAR-CCM+, create a body-shaped geometry around the wave energy harvester, use Boolean subtraction to subtract the wave energy harvester from the body, and generate a virtual experimental pool. Divide the surface of the experimental pool and set the boundary type of each surface: symmetry plane, velocity inlet, pressure outlet, overlapping grid, wall, etc.

[0053] Step 3, meshing: When creating a mesh, you must create an interface between the background area and the overlap area. This volume type interface provides coupling for domain solving by using a group of automatically generated receiver mesh cells on one mesh and a group of automatically generated supplier mesh cells on another mesh. Mesh the three-dimensional geometric model of the wave energy harvesting device: Select surface reconstruction and cut volume mesh cell generator to complete. Create four bodies, namely, the water surface, the main body, the flap 1, and the flap 2, respectively, activate custom control, and generate volume meshes, such as Figure 3 shown.

[0054] When generating a mesh, please note:

[0055] 1. To minimize the errors caused by interpolating variables between two grids, the same grid density order of magnitude is used in the overlapping area of ​​the overlap and background grids.

[0056] 2. In order to align the overlapping grids with the fluid surrounding the wave energy harvesting device when it moves in the water, it is necessary to generate the grid under the condition that the wave energy harvesting device is in a horizontal position.

[0057] 3. The grid around the wave energy harvester and the water-air interface must be finer to capture the relevant flow details.

[0058] Step 4. Set up the physical model and adjust the wave and flap parameters: Select and define the required physical model, activate VOF wave damping, and adjust the wave period, wave height, and flap length parameters according to the wave input. Select continuum, physical model: three-dimensional, implicit unsteady, Euler multiphase flow, multiphase interaction, fluid domain volume (VOF), gradient, separated flow, multiphase equation of state, laminar flow, gravity, VOF wave. Define Euler phase: Using the VOF multiphase model requires creating Euler phases for water and air. Define VOF wave: Define the initial conditions of the wave and activate the VOF wave damping function. Input parameters according to the actual sea conditions, specify the wave period and wavelength in Physical Model-VOF Wave-Wave-Fifth Order VOF Wave, and define the flap length in Geometry-Components.

[0059] Step 5, multi-body motion settings: define dynamic fluid-solid interaction, define the mass, moment of inertia, and body coordinate system of the wave energy harvester, and define the articulation relationship between the swing wing and the body of the wave energy harvester. The dynamic fluid-solid interaction (DFBI) model simulates the ship motion based on the forces caused by the flow, creates DFBI rotations and translations, and creates a new wave energy harvester continuum. Set initial values: center of mass node, moment of inertia node, activate use of center of mass, and create a new local initial Cartesian coordinate system at the center of mass of the wave energy harvester. Connect the motion of the swing wing and the body of the wave energy harvester through the rotation joint under DFBI-body coupling.

[0060] Step 6. Solution settings: In the solver node, set the time step, maximum number of iterations, maximum internal iterations in the stop condition, maximum physical time, and maximum number of steps.

[0061] Step 7, simulation result analysis: perform simulation, complete calculation, and obtain result data. The result data includes the heave displacement of the wave energy acquisition device in the Z direction, the angular velocity and angular displacement of the swing wing, and the wave moment. Figure 4 This is a visual scalar diagram during the simulation. The calculation results are post-processed to generate result files.

[0062] The present invention also proposes an electronic device, comprising a memory and a processor, wherein the memory stores a computer program, and when the processor executes the computer program, the steps of the simulation method of a wave energy acquisition device based on STAR-CCM+ are implemented.

[0063] The present invention also proposes a computer-readable storage medium for storing computer instructions, which, when executed by a processor, implement the steps of a simulation method for a wave energy acquisition device based on STAR-CCM+.

[0064] The memory in the embodiments of the present application may be a volatile memory or a non-volatile memory, or may include both volatile and non-volatile memories. Among them, the non-volatile memory may be a read only memory (ROM), a programmable read only memory (PROM), an erasable programmable read only memory (EPROM), an electrically erasable programmable read only memory (EEPROM), or a flash memory. The volatile memory may be a random access memory (RAM), which is used as an external cache. By way of example and not limitation, many forms of RAM are available, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link DRAM (SLDRAM), and direct RAM bus RAM (DRRAM). It should be noted that the memory of the method described in the present invention is intended to include, but is not limited to, these and any other suitable types of memory.

[0065] In the above embodiments, it can be implemented in whole or in part by software, hardware, firmware or any combination thereof. When implemented using software, it can be implemented in whole or in part in the form of a computer program product. The computer program product includes one or more computer instructions. When the computer instructions are loaded and executed on a computer, the process or function described in the embodiment of the present application is generated in whole or in part. The computer may be a general-purpose computer, a special-purpose computer, a computer network, or other programmable device. The computer instructions may be stored in a computer-readable storage medium, or transmitted from one computer-readable storage medium to another computer-readable storage medium, for example, the computer instructions may be transmitted from a website site, computer, server or data center by wired (e.g., coaxial cable, optical fiber, digital subscriber line (digital subscriber line, DSL)) or wireless (e.g., infrared, wireless, microwave, etc.) mode to another website site, computer, server or data center. The computer-readable storage medium may be any available medium that a computer can access or a data storage device such as a server or data center that includes one or more available media integrated. The available medium may be a magnetic medium (eg, a floppy disk, a hard disk, a magnetic tape), an optical medium (eg, a high-density digital video disc (DVD)), or a semiconductor medium (eg, a solid state disc (SSD)).

[0066] In the implementation process, each step of the above method can be completed by an integrated logic circuit of hardware in a processor or an instruction in the form of software. The steps of the method disclosed in conjunction with the embodiment of the present application can be directly embodied as a hardware processor for execution, or a combination of hardware and software modules in a processor for execution. The software module can be located in a storage medium mature in the art such as a random access memory, a flash memory, a read-only memory, a programmable read-only memory or an electrically erasable programmable memory, a register, etc. The storage medium is located in a memory, and the processor reads the information in the memory and completes the steps of the above method in conjunction with its hardware. To avoid repetition, it is not described in detail here.

[0067] It should be noted that the processor in the embodiment of the present application can be an integrated circuit chip with signal processing capabilities. In the implementation process, each step of the above method embodiment can be completed by an integrated logic circuit of hardware in the processor or an instruction in the form of software. The above processor can be a general-purpose processor, a digital signal processor (DSP), an application-specific integrated circuit (ASIC), a field programmable gate array (FPGA) or other programmable logic devices, discrete gates or transistor logic devices, discrete hardware components. The methods, steps and logic block diagrams disclosed in the embodiments of the present application can be implemented or executed. The general-purpose processor can be a microprocessor or the processor can also be any conventional processor, etc. The steps of the method disclosed in the embodiment of the present application can be directly embodied as a hardware decoding processor to perform, or the hardware and software modules in the decoding processor can be combined and performed. The software module can be located in a mature storage medium in the field such as a random access memory, a flash memory, a read-only memory, a programmable read-only memory or an electrically erasable programmable memory, a register, etc. The storage medium is located in a memory, and the processor reads the information in the memory and completes the steps of the above method in combination with its hardware.

[0068] The above is a detailed introduction to the simulation method of a wave energy harvesting device based on STAR-CCM+ proposed in the present invention. Specific examples are used in this article to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea; at the same time, for general technicians in this field, according to the idea of ​​the present invention, there will be changes in the specific implementation method and application scope. In summary, the content of this specification should not be understood as a limitation on the present invention.

Claims

1. A simulation method for a wave energy harvesting device based on STAR-CCM+, characterized in that: The method comprises the following steps: Step 1: Geometric modeling: Use the built-in 3D-CAD module in STAR-CCM+ to draw the three-dimensional geometric model of the wave energy harvesting device; Step 2: Create an experimental pool and divide the area: In STAR-CCM+, create a numerical experimental pool around the wave energy acquisition device, divide the background area, motion area, free surface density area and overlapping grid area required for calculation; and define the boundary type; Step 3: Meshing: Divide the three-dimensional geometric model into a finite number of mesh units; Step 4: Set the physical model and adjust the wave and flap parameters: Select and define the required physical model, activate VOF wave damping, and adjust the wave period, wave height, and flap length parameters according to the wave input; Step 5, multi-body motion settings: define dynamic fluid-solid interaction, define the mass, moment of inertia and body coordinate system of the wave energy harvesting device, and define the hinge relationship between the swing wing and the main body of the wave energy harvesting device; Step 6: Solution settings: Set the solver parameters, including the solution algorithm, time step, and convergence criteria; Step 7: Simulation operation result analysis: Perform simulation operation analysis, post-process the operation results, and generate result files.

2. The method according to claim 1, characterized in that In step 2, in STAR-CCM+, a body-shaped geometry is created around the wave energy harvesting device, and the wave energy harvesting device is subtracted from the body by Boolean subtraction to generate a virtual experimental water pool; Split the experimental pool surface and set the boundary type for each surface: symmetry plane, velocity inlet, pressure outlet, overlapped grid, and wall.

3. The method according to claim 2, characterized in that In step 2, the static water plane is set as the plane of the geodetic coordinate system, and the direction of the wave velocity is the positive direction of the X-axis. In the numerical experimental pool, the entrance boundary of the computational domain is set to be one wavelength away from the origin and located in the negative direction of the X-axis. The exit boundary of the computational domain is set to be two wavelengths away from the origin and located in the positive direction of the X-axis, and a one-wavelength wave-breaking area is set at the exit.

4. The method according to claim 1, characterized in that In step 3, the basic grid size of the background area is set to 0.2 m and the grid size of the motion area is set to 0.04 m, ensuring that there are 10-20 grids in one wave height direction and the aspect ratio of a single grid is 1:2 or 1:

4.

5. The method according to claim 1, characterized in that In step 4, define the physical model Euler phase and VOF wave, set the initial conditions of pressure, velocity and volume fraction, and activate VOF wave damping; specify the wave period and wavelength in Physical Model-VOF Wave-Wave-Fifth-Order VOF Wave, and define the flap length in Geometry-Components.

6. The method according to claim 1, characterized in that In step 5, create dynamic fluid-solid interaction DFBI rotation and translation, and create a new wave energy harvesting device continuum; define the 6-degree-of-freedom properties of the wave energy harvesting device, and create a local initial Cartesian coordinate system at the center of mass; use the rotation joint command in the body coupling to articulate the swing wing and the wave energy harvesting device body, and activate the Z-axis movement and Y-axis rotation properties.

7. The method according to claim 1, characterized in that In step 6, in the Solver node, set the time step, maximum number of iterations, maximum internal iterations in the stopping condition, maximum physical time, and maximum number of steps.

8. The method according to claim 1, characterized in that: In step 7, the simulation results include the heave displacement of the wave energy acquisition device body in the Z direction, the angular velocity and angular displacement of the flap, and the wave moment it is subjected to.

9. An electronic device comprising a memory and a processor, wherein the memory stores a computer program, wherein: When the processor executes the computer program, the steps of the method according to any one of claims 1 to 8 are implemented.

10. A computer-readable storage medium for storing computer instructions, characterized in that: When the computer instructions are executed by a processor, the steps of the method according to any one of claims 1 to 8 are implemented.

Citation Information

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