CN110837707B - Finite element analysis system, method, computer equipment and storage medium - Google Patents
Finite element analysis system, method, computer equipment and storage medium Download PDFInfo
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Abstract
The embodiment of the invention discloses a finite element analysis system, a finite element analysis method, computer equipment and a storage medium, wherein the finite element analysis system comprises a module combination module, a module grid processing module, a simulation condition setting module, a physical solving module and a post-processing module which are connected through communication; the module combination module is used for defining and combining modules; the module grid processing module is used for carrying out subdivision processing on the module according to at least two sets of grid control parameters to obtain at least two sets of grids to be processed; the simulation condition setting module is used for setting simulation environment parameters; the physical solving module is used for combining the at least two sets of grids to be processed into a set of target grids, and solving according to the simulation environment parameters by utilizing a finite element analysis method; and the post-processing module is used for processing the solving result of the physical solving module to obtain the target engineering parameters. The technical scheme of the embodiment of the invention can improve the efficiency and performance of finite element analysis.
Description
Technical Field
The embodiment of the invention relates to the technical field of finite elements, in particular to a finite element analysis system, a finite element analysis method, computer equipment and a storage medium.
Background
Finite element analysis techniques are extremely widely used in engineering design and product performance analysis. Among these, models, grids and solvers are essential conditions in finite element analysis techniques.
In the prior art, no matter how many modules a model contains, only one set of grids can be used in a single finite element analysis application. By a set of grids is meant nodes, cells and boundaries that are consistently described by the grid file, and together, these elements can completely fill all the modules in the model. For example, the mesh file generated by the mesh dissection software Gmsh contains: mesh, headers, mesh, elements, and mesh, boundary, elements described by these files together may fill all modules in the model.
The inventors have found that the following drawbacks exist in the prior art in the process of implementing the present invention: in the finite element analysis technology, if only one set of grids can be adopted by one model, the operation of setting and modifying simulation conditions (including controlling the density of the grids, setting material parameters, boundary conditions and the like) is complicated, the grid subdivision takes longer time, the number of units generated in the grid subdivision process is difficult to estimate, and in the ensemble, the efficiency and performance of finite element analysis on the model by adopting one set of grids are lower.
Disclosure of Invention
The embodiment of the invention provides a finite element analysis system, a finite element analysis method, computer equipment and a storage medium, so as to improve the efficiency and performance of finite element analysis.
In a first aspect, an embodiment of the present invention provides a finite element analysis system, including a module combination module, a module grid processing module, a simulation condition setting module, a physical solving module, and a post-processing module; the module combination module, the module grid processing module, the simulation condition setting module, the physical solving module and the post-processing module are in communication connection through an interface program;
the module combination module is used for defining and combining modules;
the module grid processing module is used for carrying out subdivision processing on the module according to at least two sets of grid control parameters to obtain at least two sets of grids to be processed;
the simulation condition setting module is used for setting simulation environment parameters;
the physical solving module is used for combining the at least two sets of grids to be processed into a set of target grids, and solving the target grids according to the simulation environment parameters by utilizing a preset finite element analysis method;
and the post-processing module is used for processing the solving result of the physical solving module to obtain the target engineering parameters.
In a second aspect, an embodiment of the present invention further provides a finite element analysis method, including:
defining and combining modules;
performing subdivision treatment on the module according to at least two sets of grid control parameters to obtain at least two sets of grids to be treated;
combining the at least two sets of grids to be processed into a set of target grids, and solving the target grids according to the set simulation environment parameters by utilizing a preset finite element analysis method;
and processing the solving result to obtain the target engineering parameters.
In a third aspect, an embodiment of the present invention further provides a computer apparatus, including:
one or more processors;
a storage means for storing one or more programs;
the one or more programs, when executed by the one or more processors, cause the one or more processors to implement the finite element analysis method provided by any embodiment of the present invention.
In a fourth aspect, embodiments of the present invention further provide a computer storage medium having stored thereon a computer program which, when executed by a processor, implements the finite element analysis method provided by any embodiment of the present invention.
According to the embodiment of the invention, the finite element analysis system definition and combination module is provided, the combined module is subjected to subdivision processing according to at least two sets of grid control parameters to obtain at least two sets of grids to be processed, then the at least two sets of grids to be processed are combined into one set of target grids, the target grids are solved according to the set simulation environment parameters by using a preset finite element analysis method, and finally the solving result is processed, so that the target engineering parameters are obtained, the problems that the operation of the existing finite element analysis system is complex, the number of grids cannot be estimated, the time consumption is long and the like when the finite element analysis is performed are solved, the operation experience of a user is improved, the number of grids is estimated, the time consumption is reduced, and the finite element analysis efficiency and performance are improved.
Drawings
FIG. 1 is a schematic diagram of a finite element analysis system according to a first embodiment of the present invention;
FIG. 2 is a flow chart of a finite element analysis method according to a second embodiment of the present invention;
fig. 3 is a schematic structural diagram of a computer device according to a third embodiment of the present invention.
Detailed Description
The invention is described in further detail below with reference to the drawings and examples. It is to be understood that the specific embodiments described herein are merely illustrative of the invention and are not limiting thereof.
It should be further noted that, for convenience of description, only some, but not all of the matters related to the present invention are shown in the accompanying drawings. Before discussing exemplary embodiments in more detail, it should be mentioned that some exemplary embodiments are described as processes or methods depicted as flowcharts. Although a flowchart depicts operations (or steps) as a sequential process, many of the operations can be performed in parallel, concurrently, or at the same time. Furthermore, the order of the operations may be rearranged. The process may be terminated when its operations are completed, but may have additional steps not included in the figures. The processes may correspond to methods, functions, procedures, subroutines, and the like.
It should be noted that there are various types of finite element analysis systems in the prior art, such as CAE (Computer Aided Engineering ), ANSYS, or hyperworks. The finite element analysis system provided by the embodiment of the invention can be used for carrying out function expansion based on the existing finite element analysis system, and a user can use the finite element analysis system provided by the embodiment of the invention to analyze by combining with actual engineering problems. The finite element analysis system provided by the embodiment of the invention does not limit that only one set of grids can be provided for analysis on the model, so that the operation of setting and modifying simulation conditions is simplified. Such as setting a certain boundary Condition (Condition type) for a certain boundary surface (Face), existing finite element analysis systems must click on the Face with a mouse or other means. If the module is synthesized into a model by boolean operations, then the mouse can be used to point to any Face without difficulty; but this click operation is very complex to perform if the module is synthesized into a model. The finite element analysis system provided by the embodiment of the invention can effectively solve the defects, so that the finite element analysis system has good user operation experience. In addition, in the existing finite element analysis system, only one set of grids is adopted in the model, so that the problem that the grid subdivision time is too long and the number of units generated in the grid subdivision process is difficult to estimate is caused. The finite element analysis system provided by the embodiment of the invention is not limited to a set of meshing module, so that the mesh number in the finite element analysis process and the time consumption in the meshing process can be accurately estimated. For solving the problem of the determined engineering type, the time consumption of the solving process can be estimated on the premise of determining the grid number, so that the time consumption of the whole simulation process can be estimated. Therefore, the finite element analysis system provided by the embodiment of the invention has higher analysis efficiency and performance.
Example 1
Fig. 1 is a schematic structural diagram of a finite element analysis system according to a first embodiment of the present invention, and as shown in fig. 1, the structure of the finite element analysis system includes: the system comprises a module combination module 10, a module grid processing module 20, a simulation condition setting module 30, a physical solving module 40 and a post-processing module 50; the module combination module 10, the module grid processing module 20, the simulation condition setting module 30, the physical solving module 40 and the post-processing module 50 are in communication connection through an interface program; the module combination module 10 is used for defining and combining modules; the module grid processing module 20 is used for carrying out subdivision processing on the module according to at least two sets of grid control parameters to obtain at least two sets of grids to be processed; the simulation condition setting module 30 is used for setting simulation environment parameters; the physical solving module 40 is configured to combine the at least two sets of grids to be processed into a set of target grids, and solve the target grids according to the simulation environment parameters by using a preset finite element analysis method; the post-processing module 50 is configured to process the solution result of the physical solution module 40 to obtain the target engineering parameter.
In an embodiment of the present invention, the structure of the finite element analysis system may include a module combination module 10, a module grid processing module 20, a simulation condition setting module 30, a physical solving module 40, and a post-processing module 50, which are continuously communicatively connected to each other through an interface program, wherein:
The module combination module 10 can be used for combining and assembling geometric primitives in a finite element analysis system to form a module meeting requirements. It should be noted that a geometric primitive may be a separate module. Considering that the number of modules directly affects the memory footprint of the system, the number of geometric primitives may be redefined and combined into modules to reduce frequent cross-sector memory usage. In an embodiment of the invention, a module may be a "small model" formed by a combination of multiple geometric primitives.
In an alternative embodiment of the invention, the module combination module 10 is specifically configured to: redefining and combining the modules by using at least one parameterized geometric primitive and a preset module operation method; the preset module operation method comprises a Boolean operation method.
Specifically, in the embodiment of the present invention, at least one parameterized geometric primitive may be combined to form a module by boolean operations. It should be noted that, in the finite element system, various boolean operations can be used in the process of combining the geometric primitives into the modules, but only boolean addition can be used in the process of combining the modules into the model. The module forms a model by boolean addition to determine structural features of the finite element system algorithm and also structural features related to grid control, material parameters and boundary condition settings in the finite element analysis system.
The module grid processing module 20 may be configured to divide the module formed by recombination and assembly according to multiple sets of grid control parameters on the premise of keeping the grid units from crossing the module interfaces, so as to obtain multiple sets of different grids to be processed.
In an alternative embodiment of the invention, the grid control parameters may include a reference grid size, a coarsest grid size, a finest grid size, and a minimum number of nodes per edge. The module grid processing module 20 is specifically configured to: and splitting the module and the associated interface of the module according to the grid control parameters.
The grid control parameters may be relevant parameters for performing grid division on the module and may be defined according to actual requirements, and the embodiment of the present invention does not define specific parameter types of the grid control parameters. The associated interfaces may be all interfaces between a module and other modules.
In the embodiment of the present invention, when the module grid processing module 20 performs grid splitting on the module, grid splitting may be performed on each module according to different grid control parameters. Specifically, the module and the associated interface of the module may be split. For example, assuming that Module_i represents the ith Module, the sectioning of Module_i may be performed in accordance with fragments (Module_i, BFAce_ij, BFAce_ik, …). Wherein BFAce_ij represents the interface between the ith module and the jth module, and BFAce_ik represents the interface between the ith module and the kth module. Fragment () is a geometric function embedded by a mesh dissection software. After the module is split by using mesh splitters such as Gmsh and Hypermesh, a plurality of different sets of grids to be processed can be obtained.
The simulation condition setting module 30 may be used to set simulation environment parameters according to the engineering problem to be processed. By way of example, the simulation environment parameters may include, but are not limited to, temperature, humidity, hardness, etc., and may be specifically set according to actual requirements of engineering problems, and the embodiment of the present invention is not limited to the specific type and content of the simulation environment parameters.
The physical solving module 40 may be configured to combine the at least two sets of grids to be processed into a set of target grids, and solve the target grids according to the simulation environment parameters by using a preset finite element analysis method.
The target grid is a set of grids formed by combining and assembling at least two sets of grids to be processed. The preset finite element analysis method is various available finite element analysis methods in the prior art, and the embodiment of the invention does not limit the specific content of the preset finite element analysis method. The physical solving module 40 may be an algorithm engine.
It should be noted that, the process of splitting the module to obtain at least two sets of grids to be processed and combining the at least two sets of grids to be processed into one set of target grids by the finite element analysis system provided by the embodiment of the invention is invisible to the user, but is automatically completed in the background of the system. That is, when the user uses the finite element analysis system provided by the embodiment of the invention to perform data analysis, the module mesh division result presented to the user by the system only has one set of target mesh. Therefore, the finite element analysis system provided by the embodiment of the invention can independently conduct one set of mesh subdivision on each module of the complex model, and simultaneously can independently set material properties and boundary conditions, so that the user experience of the finite element analysis system is effectively improved.
In addition, if the model is simpler, the module can be split according to a set of grid control parameters to obtain a set of grids to be processed. At this time, the physical solving module 40 in the finite element analysis system does not need to combine the obtained set of grids to be processed, and can directly take the obtained grids to be processed as target grids for subsequent processing and analysis.
In an alternative embodiment of the present invention, the physical solving module 40 includes a system variable defining unit 410, and the system variable defining unit 410 is configured to: deleting sparse grid variables on the associated interfaces of the modules, and reserving dense grid variables.
In an embodiment of the invention, the variables of the finite element in the finite element analysis system are defined on the edges of the individual cells. Specifically, the physical solving module 40 may delete the sparse grid variables at the relevant interfaces of the module by using the system variable definition unit 410, and retain the dense grid variables. The advantages of this arrangement are: the accuracy of module data analysis processing can be improved.
In an alternative embodiment of the present invention, the physical solving module 40 is specifically configured to: sorting the parameterized geometric primitives and associated interfaces of the modules according to the occurrence sequence of the parameterized geometric primitives in the process of combining the parameterized geometric primitives into the modules; ordering the nodes and the units according to the sequence of the associated interfaces; sequencing the edges according to the sequencing result of the units; and combining the at least two sets of grids to be processed into a set of target grids according to the sequencing result.
In the embodiment of the present invention, when at least two sets of grids to be processed are combined into one set of target grids by the physical solving module 40, the parameterized geometric primitives and the associated interfaces of the modules may be ordered according to the appearance sequence of the parameterized geometric primitives in the process of combining the parameterized geometric primitives into the modules, then the nodes and the units are ordered according to the sequence of the associated interfaces, then the edges are ordered according to the ordering result of the units, and finally at least two sets of grids to be processed are combined into one set of target grids according to the ordering result.
Specifically, sequencing the parameterized geometric primitives in sequence appears in the boolean operation when the parameterized geometric primitives are combined into a module, and sequencing and numbering the parameterized geometric primitives. And then sequencing and numbering the associated interfaces of the modules according to the serial numbers of the modules. The nodes may be sequentially numbered, specifically, interface bface_ij may be used as a reference: in the module_i, increasing the node number according to the sequence from far to near; in Module j, the node numbers are incremented in order from far to near. The arrangement principle can enable the node number to be generally increased along the serial number of the interface, thereby avoiding reading and writing the memory across the sector to the maximum extent. After the ordering of the nodes is completed, the units may be ordered and numbered following the same principles as the ordering of the nodes. The cell-to-interface distance is defined as the average distance of all nodes of a cell to the interface. And finally, sequencing the edges according to the unit number accumulation mode. After the element sorting is completed, the finite element analysis system can combine at least two sets of grids to be processed into one set of target grids according to the sorting results.
For example, after the sorting of each element is completed, it is assumed that one set of the grids to be processed of the module 1 includes a node 1, a node 2 and a node 3, and the other set of the grids to be processed includes a node 4 and a node 5, and after the grids to be processed of the module 1 are combined, the nodes in the target grids corresponding to the module 1 are: node 1, node 2, node 3, node 4 and node 5. It should be noted that if there are associated interfaces for the modules, dense grids may be retained and sparse grids omitted.
In an alternative embodiment of the present invention, the physical solving module 40 may further include a system matrix assembling unit 420, where the system matrix assembling unit 420 is configured to: transforming the control equation set of the finite element unit according to a matrix marking method to obtain a target conversion equation set; if it is determined that the first unknowns included in the target conversion equation set on the coarse mesh side of the interfaces of the finite element units come from the element objects on the interfaces, the first unknowns are interpolated according to a set interpolation mode by adopting the second unknowns included in the target conversion equation set on the fine mesh side of the interfaces of the finite element units.
The target conversion equation set may be an equation set obtained by transforming a control equation set of the finite element unit according to a matrix marking method. The first unknowns may be unknowns included in the set of target conversion equations on the coarse mesh side of the interfaces of the finite element units and the second unknowns may be unknowns included in the set of target conversion equations on the fine mesh side of the interfaces of the finite element units. An element object may be an element of a finite element unit, including but not limited to a node or edge, etc. The set interpolation method may be an interpolation method adopted according to the type of the finite element unit, including but not limited to planar interpolation and three-dimensional interpolation.
In the embodiment of the present invention, after the grids to be processed are combined into a set of target grids by using the physical solving module 40, the control equation set of the unit is also required to be assembled into the whole system equation set. The physical solving module 40 may perform the assembly of the control equation set through the system matrix assembly unit 420. Specifically, the system matrix assembling unit 420 may transform the control equation set of the finite element unit according to the matrix marking method, so as to obtain the target conversion equation set. If it is determined that the first unknown number included in the target conversion equation set on the coarse mesh side of the interface of the finite element unit is from the element object on the interface, determining an interpolation mode according to the type of the finite element unit by adopting the second unknown number included in the target conversion equation set on the fine mesh side of the interface of the finite element unit, and interpolating the first unknown number according to the determined interpolation mode.
In an alternative embodiment of the present invention, the finite element is a node finite element; the set interpolation mode is a plane interpolation mode; the system matrix assembly unit 420 is specifically configured to: taking the unknown number of the node to be interpolated on the coarse grid side as the first unknown number, and taking the unknown number of the target interpolation node on the fine grid side as the second unknown number; and interpolating the unknown number of the node to be interpolated according to a plane interpolation mode by adopting the unknown number of the target interpolation node included in the target conversion equation set at the fine grid side of the interface of the finite element unit.
Accordingly, if the type of the finite element unit is a node finite element unit, the interpolation mode may adopt a planar interpolation mode. The system matrix assembling unit 420 may use the unknown number of the node to be interpolated on the coarse mesh side as a first unknown number, and use the unknown number of the target interpolation node on the fine mesh side as a second unknown number; and interpolating the unknown number of the target interpolation node included in the target conversion equation set at the fine grid side of the interface of the finite element unit according to the plane interpolation mode.
In an alternative embodiment of the present invention, the finite element unit is a vector finite element unit; the set interpolation mode is a three-dimensional interpolation mode; the system matrix assembly unit 420 is specifically configured to: taking the unknown number of the edge to be interpolated on one side of the coarse grid as the first unknown number, and taking the unknown number of the target interpolation edge on one side of the fine grid as the second unknown number; and interpolating the unknown number of the edge to be interpolated according to a plane interpolation mode by adopting the unknown number of the target interpolation edge included in the target conversion equation set at the thin grid side of the interface of the finite element unit.
Accordingly, if the type of the finite element unit is a vector finite element unit, the interpolation mode may adopt a three-dimensional interpolation mode. The system matrix assembling unit 420 may take the unknown number of the edge to be interpolated on the coarse mesh side as a first unknown number, and take the unknown number of the target interpolation edge on the fine mesh side as a second unknown number; and interpolating the unknown number of the target interpolation edge included in the target conversion equation set at one side of the fine grid of the interface of the finite element unit according to a plane interpolation mode.
In a specific example, let the partial differential equation of the system be f (V) =0, V being a vector. For electromagnetic field microwave equations, f is maxwell's equation and V represents the electric field vector. Assuming that the unknown vector at any point in the finite element e is v_e, the interpolation expression of the i component thereof can be expressed as:
v_e(i)＝sum(n,v_e(n)*fai(n,i))
where sum (n) represents the sum of all edges of the cell, fai (n, i) represents the vector interpolation function, v_e (n) represents the unknown vector, and i represents the coordinate component.
Thus, the control equation set for the finite element e can be written as:
Integrating(fai(m,1)*f(sum(n,v_e(n)*fai(n,1)))+fai(m,2)*f(sum(n,v_e(n)*fai(n,2)))+fai(m,3)*f(sum(n,v_e(n)*fai(n,3))))＝0
where m represents one edge in the finite element e and fai (m) represents the interpolation function. Expanding a control equation set of the finite element unit e in detail, and introducing a matrix marking method to transform the control equation set of the finite element unit e to obtain a target conversion equation set:
AeXe＝Be
Where Ae represents a coefficient matrix of the finite element unit e, xe represents an unknown number vector of the finite element unit e, be represents a sum of other terms of the finite element unit e that do not contain an unknown number.
After the target conversion equation set is obtained, the target conversion equation set can be assembled into the whole system equation set. In the system matrix assembling process, the most critical step is how to assemble the cell equations on one side of the interface coarse grid.
Specifically, if the finite element unit is a node finite element unit and the unknowns of the target conversion equation set on the interface coarse mesh side come from the nodes on the interface, the unknowns on the interface fine mesh side are adopted for interpolation. The interpolation may be planar interpolation, i.e. the unknown at the cell node is interpolated as soon as the point to be interpolated falls on which planar cell of the interface. The vector finite element, unlike the conventional node finite element, must be interpolated with all edges of the three-dimensional element. That is, if the finite element unit is a node finite element unit, a three-dimensional interpolation mode is adopted to replace a two-dimensional interpolation mode, and an edge is adopted to replace a node for interpolation.
The post-processing module 50 may be configured to process the solution result of the physical solution module 40 to obtain the target engineering parameter.
The target engineering parameter may be an engineering parameter obtained by processing a solution result obtained by using a mathematical method.
In the embodiment of the present invention, the physical solution module 40 in the finite element analysis system uses a preset finite element analysis method to solve the target grid according to the simulation environment parameters, and the solution result obtained by the solution is only a numerical value. Therefore, the post-processing module 50 is also required to process the solution result of the physical solution module 40 according to the simulation environment parameter information, so as to obtain the final target engineering parameter.
It should be noted that, in addition to the above functional modules, the finite element analysis system provided by the embodiment of the present invention may further include a visualization module. The main function of the visualization module is to provide the user with a visualization function, such as an interactive interface for providing visual control, etc.
In the embodiment of the invention, the finite element analysis system can be quickly realized by utilizing the existing open source resources. In particular, the finite element analysis system may employ, but is not limited to, partially open source resources based on the LGPL protocol: a development platform FreeCAD based on parameterized geometric modeling, a multi-physical solver Elmer, a mesh dissector Gmsh, a visualization tool package VTK and the like. In developing a finite element analysis system, the interactive interface and corresponding daemon supporting the module assembly module 10 may be developed on a FreeCAD basis. The grid control interactive interface supporting the module grid processing module 20 can be developed on the basis of FreeCAD and an interface program connecting the grid control file with the grid dissector Gmsh. The labeling method of the Elmer's system grid and variables can be modified to achieve the function of combining at least two sets of grids to be processed into a set of target grids and system variable definition unit 410. In addition, the assembling process from the unit matrix to the system matrix in the Elmer can be modified, and a system equation set is formed through interface interpolation, so that the function of assembling the unit 420 by the system matrix is realized. Furthermore, an interactive interface for setting the simulation conditions and an interface program for connecting the simulation condition file and the solver elmer solver can be developed to realize the function of the simulation condition setting module 30. An interface program or the like for connecting the view operation control file with the graphic display toolkit VTK can also be developed for performing visual control.
According to the embodiment of the invention, the finite element analysis system definition and combination module is provided, the combined module is subjected to subdivision processing according to at least two sets of grid control parameters to obtain at least two sets of grids to be processed, then the at least two sets of grids to be processed are combined into one set of target grids, the target grids are solved according to the set simulation environment parameters by using a preset finite element analysis method, and finally the solving result is processed, so that the target engineering parameters are obtained, the problems that the operation is complex, the grid number cannot be estimated, the time consumption is long and the like when the conventional finite element analysis system performs finite element analysis are solved, the operation is improved, the grid number and the time consumption are accurately estimated, and the finite element analysis efficiency and performance are improved.
Example two
Fig. 2 is a flowchart of a finite element analysis method according to a second embodiment of the present invention, where the finite element analysis system uses multiple sets of mesh subdivision modules and performs finite element analysis, the method may be performed by the finite element analysis system, and the system may be implemented by software and/or hardware, and may be generally integrated into a computer device. Accordingly, as shown in fig. 2, the method includes the following operations:
S110, defining and combining modules.
In the embodiment of the invention, the geometric primitives can be assembled through a finite element analysis system to form a module meeting the requirements. It should be noted that a geometric primitive may be a separate module. Considering that the number of modules directly affects memory usage, the number of modules may be redefined and combined into a module by redefining multiple geometric primitives to reduce frequent cross-sector memory usage. In an embodiment of the invention, a module may be a "small model" formed by a combination of multiple geometric primitives.
In an alternative embodiment of the present invention, the finite element analysis system may redefine and combine the modules using at least one parameterized geometric primitive and a preset module operation method; the preset module operation method comprises a Boolean operation method.
Specifically, in the embodiment of the present invention, the finite element analysis system may perform boolean operation on at least one parameterized geometric primitive to form a module. It should be noted that, in the finite element system, various boolean operations can be used in the process of combining the geometric primitives into the modules, but only boolean addition can be used in the process of combining the modules into the model. The module forms a model by boolean addition to determine structural features of the finite element system algorithm and also structural features related to grid control, material parameters and boundary condition settings in the finite element analysis system.
And S120, carrying out subdivision processing on the module according to at least two sets of grid control parameters to obtain at least two sets of grids to be processed.
Correspondingly, after the module combination is completed, the finite element analysis system can divide the module formed by the recombination and assembly according to a plurality of sets of grid control parameters on the premise that grid units do not cross the interface of the modules, so as to obtain a plurality of sets of different grids to be processed.
In an alternative embodiment of the invention, the grid control parameters may include a reference grid size, a coarsest grid size, a finest grid size, and a minimum number of nodes per edge. The finite element analysis system can split the module and the associated interface of the module according to the grid control parameters.
The grid control parameters may be relevant parameters for performing grid division on the module and may be defined according to actual requirements, and the embodiment of the present invention does not define specific parameter types of the grid control parameters. The associated interfaces may be all interfaces between a module and other modules.
In the embodiment of the invention, when the finite element analysis system performs grid division on the modules, each module can be subjected to grid division according to different grid control parameters. Specifically, the modules and the associated interfaces of the modules can be split according to the requirements. For example, assuming that Module_i represents the ith Module, the sectioning of Module_i may be performed in accordance with fragments (Module_i, BFAce_ij, BFAce_ik, …). Wherein BFAce_ij represents the interface between the ith module and the jth module, and BFAce_ik represents the interface between the ith module and the kth module. Fragment () is a geometric function embedded by a mesh dissection software. After the module subdivision is completed by utilizing Fragment (), a plurality of different sets of grids to be processed can be obtained.
S130, combining the at least two sets of grids to be processed into a set of target grids, and solving the target grids according to the set simulation environment parameters by using a preset finite element analysis method.
Specifically, the finite element analysis system may combine the at least two sets of grids to be processed into a set of target grids, and solve the target grids according to the simulation environment parameters by using a preset finite element analysis method.
The target grid is a set of grids formed by combining and assembling at least two sets of grids to be processed. The preset finite element analysis method is various available finite element analysis methods in the prior art, and the embodiment of the invention does not limit the specific content of the preset finite element analysis method.
It should be noted that, the process of splitting the module to obtain at least two sets of grids to be processed and combining the at least two sets of grids to be processed into one set of target grids by the finite element analysis system provided by the embodiment of the invention is invisible to the user, but is automatically completed in the background of the system. That is, when the user uses the finite element analysis system provided by the embodiment of the invention to perform data analysis, the module mesh division result presented to the user by the system only has one set of target mesh. Therefore, the finite element analysis system provided by the embodiment of the invention can independently conduct one set of mesh subdivision on each module of the complex model, and simultaneously can independently set material properties and boundary conditions, so that the user experience of the finite element analysis system is effectively improved.
In an alternative embodiment of the invention, the finite element analysis system may delete sparse grid variables at the associated interfaces of the modules and retain dense grid variables when defining system variables.
In an embodiment of the invention, the variables of the finite element in the finite element analysis system are defined on the edges of the individual cells. Specifically, sparse grid variables on the associated interfaces of the modules can be deleted, and dense grid variables are reserved. The advantages of this arrangement are: the accuracy of module data analysis processing can be improved.
In an alternative embodiment of the present invention, the finite element analysis system may sort the parameterized geometric primitives and their associated interfaces according to the order in which the parameterized geometric primitives occur during assembly into the modules; ordering the nodes and the units according to the sequence of the associated interfaces; sequencing the edges according to the sequencing result of the units; and combining the at least two sets of grids to be processed into a set of target grids according to the sequencing result.
In the embodiment of the invention, when at least two sets of grids to be processed are combined into one set of target grids, the finite element analysis system can firstly sort the parameterized geometric primitives and the associated interfaces of the modules according to the appearance sequence of the parameterized geometric primitives in the process of combining the parameterized geometric primitives into the modules, then sort the nodes and the units according to the sequence of the associated interfaces, then sort the edges according to the sorting result of the units, and finally combine the at least two sets of grids to be processed into one set of target grids according to the sorting result.
Specifically, sequencing the parameterized geometric primitives in sequence appears in the boolean operation when the parameterized geometric primitives are combined into a module, and sequencing and numbering the parameterized geometric primitives. And then sequencing and numbering the associated interfaces of the modules according to the serial numbers of the modules. The nodes may be sequentially numbered, specifically, interface bface_ij may be used as a reference: in the module_i, increasing the node number according to the sequence from far to near; in Module j, the node numbers are incremented in order from far to near. The arrangement principle can enable the node number to be generally increased along the serial number of the interface, thereby avoiding reading and writing the memory across the sector to the maximum extent. After the ordering of the nodes is completed, the units may be ordered and numbered following the same principles as the ordering of the nodes. The cell-to-interface distance is defined as the average distance of all nodes of a cell to the interface. And finally, sequencing the edges according to the unit number accumulation mode. After the element sorting is completed, the finite element analysis system can combine at least two sets of grids to be processed into one set of target grids according to the sorting results.
For example, after the sorting of each element is completed, it is assumed that one set of the grids to be processed of the module 1 includes a node 1, a node 2 and a node 3, and the other set of the grids to be processed includes a node 4 and a node 5, and after the grids to be processed of the module 1 are combined, the nodes in the target grids corresponding to the module 1 are: node 1, node 2, node 3, node 4 and node 5. It should be noted that if there are associated interfaces for the modules, dense grids may be retained and sparse grids omitted.
In an optional embodiment of the present invention, the finite element analysis system may further transform the control equation set of the finite element unit according to a matrix marking method to obtain a target transformation equation set; if it is determined that the first unknowns included in the target conversion equation set on the coarse mesh side of the interfaces of the finite element units come from the element objects on the interfaces, the first unknowns are interpolated according to a set interpolation mode by adopting the second unknowns included in the target conversion equation set on the fine mesh side of the interfaces of the finite element units.
The target conversion equation set may be an equation set obtained by transforming a control equation set of the finite element unit according to a matrix marking method. The first unknowns may be unknowns included in the set of target conversion equations on the coarse mesh side of the interfaces of the finite element units and the second unknowns may be unknowns included in the set of target conversion equations on the fine mesh side of the interfaces of the finite element units. An element object may be an element of a finite element unit, including but not limited to a node or edge, etc. The set interpolation method may be an interpolation method adopted according to the type of the finite element unit, including but not limited to planar interpolation and three-dimensional interpolation.
In the embodiment of the invention, after the grids to be processed are combined into a set of target grids, the finite element analysis system also needs to assemble the control equation set of the unit into the whole system equation set. Specifically, the control equation set of the finite element unit may be transformed according to a matrix marking method, so as to obtain a target transformation equation set. If it is determined that the first unknown number included in the target conversion equation set on the coarse mesh side of the interface of the finite element unit is from the element object on the interface, determining an interpolation mode according to the type of the finite element unit by adopting the second unknown number included in the target conversion equation set on the fine mesh side of the interface of the finite element unit, and interpolating the first unknown number according to the determined interpolation mode.
In an alternative embodiment of the present invention, the finite element is a node finite element; the set interpolation mode is a plane interpolation mode; the finite element analysis system can take the unknown number of the node to be interpolated on the coarse mesh side as the first unknown number, and take the unknown number of the target interpolation node on the fine mesh side as the second unknown number; and interpolating the unknown number of the node to be interpolated according to a plane interpolation mode by adopting the unknown number of the target interpolation node included in the target conversion equation set at the fine grid side of the interface of the finite element unit.
Accordingly, if the type of the finite element unit is a node finite element unit, the interpolation mode may adopt a planar interpolation mode. The finite element analysis system can take the unknown number of the node to be interpolated on the coarse grid side as a first unknown number, and take the unknown number of the target interpolation node on the fine grid side as a second unknown number; and interpolating the unknown number of the target interpolation node included in the target conversion equation set at the fine grid side of the interface of the finite element unit according to the plane interpolation mode.
In an alternative embodiment of the present invention, the finite element unit is a vector finite element unit; the set interpolation mode is a three-dimensional interpolation mode; the finite element analysis system can take the unknown number of the edge to be interpolated on the coarse grid side as the first unknown number, and take the unknown number of the target interpolation edge on the fine grid side as the second unknown number; and interpolating the unknown number of the edge to be interpolated according to a plane interpolation mode by adopting the unknown number of the target interpolation edge included in the target conversion equation set at the thin grid side of the interface of the finite element unit.
Accordingly, if the type of the finite element unit is a vector finite element unit, the interpolation mode may adopt a three-dimensional interpolation mode. The finite element analysis system can take the unknown number of the edge to be interpolated on one side of the coarse grid as a first unknown number and take the unknown number of the target interpolation edge on one side of the fine grid as a second unknown number; and interpolating the unknown number of the target interpolation edge included in the target conversion equation set at one side of the fine grid of the interface of the finite element unit according to a plane interpolation mode.
In a specific example, let the partial differential equation of the system be f (V) =0, V being a vector. For electromagnetic field microwave equations, f is maxwell's equation and V represents the electric field vector. Assuming that the unknown vector at any point in the finite element e is v_e, the interpolation expression of the i component thereof can be expressed as:
v_e(i)＝sum(n,v_e(n)*fai(n,i))
where sum (n) represents the sum of all edges of the cell, fai (n, i) represents the vector interpolation function, v_e (n) represents the unknown vector, and i represents the coordinate component.
Thus, the control equation set for the finite element e can be written as:
Integrating(fai(m,1)*f(sum(n,v_e(n)*fai(n,1)))+fai(m,2)*f(sum(n,v_e(n)*fai(n,2)))+fai(m,3)*f(sum(n,v_e(n)*fai(n,3))))＝0
where m represents one edge in the finite element e and fai (m) represents the interpolation function. Expanding a control equation set of the finite element unit e in detail, and introducing a matrix marking method to transform the control equation set of the finite element unit e to obtain a target conversion equation set:
AeXe＝Be
where Ae represents a coefficient matrix of the finite element unit e, xe represents an unknown number vector of the finite element unit e, be represents a sum of other terms of the finite element unit e that do not contain an unknown number.
After the target conversion equation set is obtained, the target conversion equation set can be assembled into the whole system equation set. In the system matrix assembling process, the most critical step is how to assemble the cell equations on one side of the interface coarse grid.
Specifically, if the finite element unit is a node finite element unit and the unknowns of the target conversion equation set on the interface coarse mesh side come from the nodes on the interface, the unknowns on the interface fine mesh side are adopted for interpolation. The interpolation may be planar interpolation, i.e. the unknown at the cell node is interpolated as soon as the point to be interpolated falls on which planar cell of the interface. The vector finite element, unlike the conventional node finite element, must be interpolated with all edges of the three-dimensional element. That is, if the finite element unit is a node finite element unit, a three-dimensional interpolation mode is adopted to replace a two-dimensional interpolation mode, and an edge is adopted to replace a node for interpolation.
The finite element analysis system may also set simulation environment parameters according to the engineering problem to be processed. By way of example, the simulation environment parameters may include, but are not limited to, temperature, humidity, hardness, etc., and may be specifically set according to actual requirements of engineering problems, and the embodiment of the present invention is not limited to the specific type and content of the simulation environment parameters. Correspondingly, the finite element analysis system can solve the target grid according to the set simulation environment parameters by using a preset finite element analysis method.
And S140, processing the solving result to obtain the target engineering parameters.
The target engineering parameter may be an engineering parameter obtained by processing a solution result obtained by using a mathematical method.
In the embodiment of the invention, the finite element analysis system utilizes the preset finite element analysis method to solve the target grid according to the simulation environment parameters, and the obtained solving result is only a numerical value. Therefore, the solution result is also required to be processed according to the simulation environment parameter information, so as to obtain the final target engineering parameter.
It should be noted that, in addition to the above functions, the finite element analysis system provided by the embodiment of the present invention may also provide a visual function for a user, such as providing an interactive interface for visual control.
According to the embodiment of the invention, the module obtained by combination is subjected to subdivision processing according to at least two sets of grid control parameters to obtain at least two sets of grids to be processed, then the at least two sets of grids to be processed are combined into one set of target grids, the target grids are solved according to the set simulation environment parameters by using a preset finite element analysis method, and finally the solving result is processed to obtain target engineering parameters, so that the problems that the operation is complex, the grid number cannot be estimated, the time consumption is long and the like when the finite element analysis is performed in the conventional finite element analysis system are solved, the operation is improved, the grid number and the time consumption are accurately estimated, and the finite element analysis efficiency and performance are improved.
Example III
Fig. 3 is a schematic structural diagram of a computer device according to a third embodiment of the present invention. FIG. 3 illustrates a block diagram of a computer device 312 suitable for use in implementing embodiments of the present invention. The computer device 312 shown in fig. 3 is merely an example and should not be construed as limiting the functionality and scope of use of embodiments of the present invention.
As shown in FIG. 3, computer device 312 is in the form of a general purpose computing device. Components of computer device 312 may include, but are not limited to: one or more processors 316, a storage device 328, and a bus 318 that connects the different system components (including the storage device 328 and the processor 316).
The storage 328 may include computer system-readable media in the form of volatile memory, such as random access memory (Random Access Memory, RAM) 330 and/or cache memory 332. The computer device 312 may further include other removable/non-removable, volatile/nonvolatile computer system storage media. By way of example only, storage system 334 may be used to read from and write to non-removable, nonvolatile magnetic media (not shown in FIG. 3, commonly referred to as a "hard disk drive"). Although not shown in fig. 3, a disk drive for reading from and writing to a removable nonvolatile magnetic disk (e.g., a "floppy disk"), and an optical disk drive for reading from and writing to a removable nonvolatile optical disk (e.g., a Compact Disc-Read Only Memory (CD-ROM), digital versatile Disc (Digital Video Disc-Read Only Memory, DVD-ROM), or other optical media), may be provided. In such cases, each drive may be coupled to bus 318 through one or more data medium interfaces. Storage 328 may include at least one program product having a set (e.g., at least one) of program modules configured to carry out the functions of embodiments of the invention.
The computer device 312 may also communicate with one or more external devices 314 (e.g., keyboard, pointing device, camera, display 324, etc.), one or more devices that enable a user to interact with the computer device 312, and/or any devices (e.g., network card, modem, etc.) that enable the computer device 312 to communicate with one or more other computing devices. Such communication may occur through an Input/Output (I/O) interface 322. Moreover, the computer device 312 may also communicate with one or more networks such as a local area network (Local Area Network, LAN), a wide area network Wide Area Network, a WAN) and/or a public network such as the internet via the network adapter 320. As shown, network adapter 320 communicates with other modules of computer device 312 via bus 318. It should be appreciated that although not shown, other hardware and/or software modules may be used in connection with computer device 312, including, but not limited to: microcode, device drivers, redundant processing units, external disk drive arrays, disk array (Redundant Arrays of Independent Disks, RAID) systems, tape drives, data backup storage systems, and the like.
The processor 316 executes various functional applications and data processing by running programs stored in the storage 328, for example, implementing the finite element analysis method provided by the above-described embodiment of the present invention.
That is, the processing unit realizes when executing the program: defining and combining modules; performing subdivision treatment on the module according to at least two sets of grid control parameters to obtain at least two sets of grids to be treated; combining the at least two sets of grids to be processed into a set of target grids, and solving the target grids according to the set simulation environment parameters by utilizing a preset finite element analysis method; and processing the solving result to obtain the target engineering parameters.
Example IV
A fourth embodiment of the present invention also provides a computer storage medium storing a computer program which, when executed by a computer processor, is configured to perform the finite element analysis method according to any one of the above embodiments of the present invention: defining and combining modules; performing subdivision treatment on the module according to at least two sets of grid control parameters to obtain at least two sets of grids to be treated; combining the at least two sets of grids to be processed into a set of target grids, and solving the target grids according to the set simulation environment parameters by utilizing a preset finite element analysis method; and processing the solving result to obtain the target engineering parameters.
The computer storage media of embodiments of the invention may take the form of any combination of one or more computer-readable media. The computer readable medium may be a computer readable signal medium or a computer readable storage medium. The computer readable storage medium can be, for example, but not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or a combination of any of the foregoing. More specific examples (a non-exhaustive list) of the computer-readable storage medium would include the following: an electrical connection having one or more wires, a portable computer diskette, a hard disk, a Random Access Memory (RAM), a Read-Only Memory (ROM), an erasable programmable Read-Only Memory ((Erasable Programmable Read Only Memory, EPROM) or flash Memory), an optical fiber, a portable compact disc Read-Only Memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing. In this document, a computer readable storage medium may be any tangible medium that can contain, or store a program for use by or in connection with an instruction execution system, apparatus, or device.
The computer readable signal medium may include a propagated data signal with computer readable program code embodied therein, either in baseband or as part of a carrier wave. Such a propagated data signal may take any of a variety of forms, including, but not limited to, electro-magnetic, optical, or any suitable combination of the foregoing. A computer readable signal medium may also be any computer readable medium that is not a computer readable storage medium and that can communicate, propagate, or transport a program for use by or in connection with an instruction execution system, apparatus, or device.
Program code embodied on a computer readable medium may be transmitted using any appropriate medium, including but not limited to wireless, wireline, optical fiber cable, radio Frequency (RF), etc., or any suitable combination of the foregoing.
Computer program code for carrying out operations of the present invention may be written in any combination of one or more programming languages, including an object oriented programming language such as Java, smalltalk, C ++ and conventional procedural programming languages, such as the "C" programming language or similar programming languages. The program code may execute entirely on the user's computer, partly on the user's computer, as a stand-alone software package, partly on the user's computer and partly on a remote computer or entirely on the remote computer or server. In the case of a remote computer, the remote computer may be connected to the user's computer through any kind of network, including a Local Area Network (LAN) or a Wide Area Network (WAN), or may be connected to an external computer (for example, through the Internet using an Internet service provider).
Note that the above is only a preferred embodiment of the present invention and the technical principle applied. It will be understood by those skilled in the art that the present invention is not limited to the particular embodiments described herein, but is capable of various obvious changes, rearrangements and substitutions as will now become apparent to those skilled in the art without departing from the scope of the invention. Therefore, while the invention has been described in connection with the above embodiments, the invention is not limited to the embodiments, but may be embodied in many other equivalent forms without departing from the spirit or scope of the invention, which is set forth in the following claims.
Claims (10)
1. The finite element analysis system is characterized by comprising a module combination module, a module grid processing module, a simulation condition setting module, a physical solving module and a post-processing module; the module combination module, the module grid processing module, the simulation condition setting module, the physical solving module and the post-processing module are in communication connection through an interface program;
the module combination module is used for defining and combining modules;
the module grid processing module is used for carrying out subdivision processing on the module according to at least two sets of grid control parameters to obtain at least two sets of grids to be processed;
The simulation condition setting module is used for setting simulation environment parameters;
the physical solving module is used for combining the at least two sets of grids to be processed into a set of target grids, and solving the target grids according to the simulation environment parameters by utilizing a preset finite element analysis method;
the post-processing module is used for processing the solving result of the physical solving module to obtain target engineering parameters;
the physical solving module is specifically configured to:
sorting the parameterized geometric primitives and associated interfaces of the modules according to the occurrence sequence of the parameterized geometric primitives in the process of combining the parameterized geometric primitives into the modules;
ordering the nodes and the units according to the sequence of the associated interfaces;
sequencing the edges according to the sequencing result of the units;
and combining the at least two sets of grids to be processed into a set of target grids according to the sequencing result.
2. The system according to claim 1, wherein the module combination module is specifically configured to:
redefining and combining the modules by using at least one parameterized geometric primitive and a preset module operation method;
the preset module operation method comprises a Boolean operation method.
3. The system of claim 1, wherein the grid control parameters include a reference grid size, a coarsest grid size, a finest grid size, and a minimum number of nodes per edge;
the module grid processing module is specifically configured to: and splitting the module and the associated interface of the module according to the grid control parameters.
4. The system of claim 1, wherein the physical solution module comprises a system variable definition unit for:
deleting sparse grid variables on the associated interfaces of the modules, and reserving dense grid variables.
5. The system of claim 1, wherein the physical solution module comprises a system matrix assembly unit configured to:
transforming the control equation set of the finite element unit according to a matrix marking method to obtain a target conversion equation set;
if it is determined that the first unknowns included in the target conversion equation set on the coarse mesh side of the interfaces of the finite element units come from the element objects on the interfaces, the first unknowns are interpolated according to a set interpolation mode by adopting the second unknowns included in the target conversion equation set on the fine mesh side of the interfaces of the finite element units.
6. The system of claim 5, wherein the finite element is a node finite element; the set interpolation mode is a plane interpolation mode;
the system matrix assembling unit is specifically used for:
taking the unknown number of the node to be interpolated on the coarse grid side as the first unknown number, and taking the unknown number of the target interpolation node on the fine grid side as the second unknown number;
and interpolating the unknown number of the node to be interpolated according to a plane interpolation mode by adopting the unknown number of the target interpolation node included in the target conversion equation set at the fine grid side of the interface of the finite element unit.
7. The system of claim 5, wherein the finite element is a vector finite element; the set interpolation mode is a three-dimensional interpolation mode;
the system matrix assembling unit is specifically used for:
taking the unknown number of the edge to be interpolated on one side of the coarse grid as the first unknown number, and taking the unknown number of the target interpolation edge on one side of the fine grid as the second unknown number;
and interpolating the unknown number of the edge to be interpolated according to a plane interpolation mode by adopting the unknown number of the target interpolation edge included in the target conversion equation set at the thin grid side of the interface of the finite element unit.
8. A method of finite element analysis, comprising:
defining and combining modules;
performing subdivision treatment on the module according to at least two sets of grid control parameters to obtain at least two sets of grids to be treated;
combining the at least two sets of grids to be processed into a set of target grids, and solving the target grids according to the set simulation environment parameters by utilizing a preset finite element analysis method;
processing the solving result to obtain target engineering parameters;
sorting the parameterized geometric primitives and associated interfaces of the modules according to the occurrence sequence of the parameterized geometric primitives in the process of combining the parameterized geometric primitives into the modules;
ordering the nodes and the units according to the sequence of the associated interfaces;
sequencing the edges according to the sequencing result of the units;
and combining the at least two sets of grids to be processed into a set of target grids according to the sequencing result.
9. A computer device, the computer device comprising:
one or more processors;
a storage means for storing one or more programs;
the one or more programs, when executed by the one or more processors, cause the one or more processors to implement the finite element analysis method of claim 8.
10. A computer storage medium having stored thereon a computer program which when executed by a processor implements the finite element analysis method of claim 8.
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