CN105631064B - A kind of efficient parallel calculation method of the inner cavity vacuum radiation emulation of chimb circle - Google Patents
A kind of efficient parallel calculation method of the inner cavity vacuum radiation emulation of chimb circle Download PDFInfo
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Abstract
The invention belongs to inner cavity vacuum radiation emulation mode technical fields, are specifically related to a kind of efficient parallel calculation method of inner cavity vacuum radiation emulation based on FInite Element.Technical solution of the present invention is optimized by Paralleled strategy and traversal by a kind of High Efficient Parallel Algorithms of inner cavity vacuum radiation emulation based on FInite Element, realizes the efficient emulation of inner cavity vacuum radiation problem.Compared with traditional searching loop method, the present invention is based on the thoughts of zone Divided Parallel Calculation, devise a kind of new efficient parallel calculation method for inner cavity vacuum radiation, greatly improve the simulation efficiency of inner cavity vacuum radiation problem.Therefore, practical application value with higher of the invention and very high engineering application value.
Description
Technical field
The invention belongs to inner cavity vacuum radiation emulation mode technical fields, are specifically related to a kind of based in FInite Element
The efficient parallel calculation method of chamber vacuum radiation emulation.
Background technique
In industrial design, need to carry out simulation calculation to a large amount of hot problem of transmission.Heat transmitting mode include conduction,
Convection current and electromagenetic wave radiation.For in the simulation calculation of the hot problem of transmission of solid structure, finite element method has become master
Method is wanted, in wall surface temperature boundary condition, hot-fluid boundary condition, Convection Heat Transfer Boundary Conditions and electromagenetic wave radiation boundary condition
It played an important role in the heat transmitting emulation of isotropism/anisotropic material.
For each of wall surface temperature boundary condition, hot-fluid boundary condition, Convection Heat Transfer Boundary Conditions and background radiation condition
Effect is calculated to the heat transmitting emulation of the same sex/anisotropic material at present using FInite Element as the calculation method relative maturity of representative
Rate and parallel method also relative maturity.However, being related to finite element unit all in inner cavity for inner cavity vacuum radiation problem
Between radiant heat transmitting, calculation scale is larger, and parallel method is still immature, and it is still necessary to improve for computational efficiency and parallel efficiency.
Therefore, it needs to design a kind of efficient parallel calculation method that the inner cavity radiation based on finite element method emulates.
Summary of the invention
The inner cavity vacuum radiation emulation that the technical problem to be solved in the present invention is to provide a kind of based on FInite Element it is efficient
Parallel calculating method realizes the efficient emulation of inner cavity vacuum radiation problem.
In order to realize the purpose, the technical solution adopted by the present invention is that:
A kind of efficient parallel calculation method of the inner cavity vacuum radiation emulation of chimb circle, comprising the following steps:
Step 1, acquisition have the exact shape and physical size of the solid structure of inner cavity problem, establish 3D solid unit
Finite element grid；
Acquire temperature boundary condition, hot-fluid boundary condition, the converctive heat transfer boundary item of the finite element grid of this step foundation
The boundary surface grids of part；
Step 2, the coefficient of heat conduction for acquiring solid structure；
The boundary condition value of temperature collection boundary condition, hot-fluid boundary condition and Convection Heat Transfer Boundary Conditions；
Wherein, temperature boundary condition is boundary temperature value, and hot-fluid boundary condition is boundary heat flow value, coefficient of heat transfer perimeter strip
Part coefficient of heat transfer value and known fluid temperature values；
Step 3, the boundary surface grids for acquiring inner cavity radiation boundary condition；
The emissivity for acquiring luminal border, is denoted as ε；
Step 4, the time step that transient state heat transfer calculations are set；Setting calculates total time；
The finite element grid of step 5, the 3D solid unit established based on step 1 carries out uniform segmentation to the grid；It will
The number of partitions is denoted as F；
The finite element multiblock technique of step 6, the inner cavity radiation boundary condition and step 5 foundation that are acquired based on step 3, acquisition
Corresponding luminal border condition in each grid division；
Luminal border face in each subregion is denoted as { U1,U2,…,UF}；
Acquire the area A of each subregion luminal border surface grids；
Step 7, the number of partitions F based on step 5, open F parallel computation process, each grid division is one corresponding
Calculation procedure；Calculation procedure number is corresponding with grid division number；
The boundary for each boundary condition that the finite element grid of 3D solid unit based on step 1 foundation, step 1 acquire
The thermal transient that surface grids, the numerical value of the solid thermal conduction coefficient that step 2 acquires and each boundary condition, step 4 are arranged, which is transmitted, to be counted
The multiblock technique that the time step and step 5 of calculation acquire, carries out the FEM calculation without inner cavity radiation value of Paralleled；
Luminal border face { the U of step 8, each subregion acquired based on step 61,U2,…,UF, it calculates in acquisition step 7
Temperature value set on the luminal border face of obtained each subregion, is denoted as { T1,T2,…,TF}；
Wherein, Ti(i=1,2 ... F) are the set of each boundary surface grids on i-th of luminal border face,Ni is the face element number in the inland river boundary face of i-th of grid division；
Temperature value in step 9, each luminal border unit obtained based on step 8
Calculate energy of each boundary element by radiation lossIt is defined as radiation energy magnitude, (i=1,
2 ..., F), (j=1,2 ..., ni), ni is the face element number in the inland river boundary face of i-th of grid division；
Wherein, ε is the luminal border emissivity that step 3 acquires, and A is each subregion luminal border face acquired in step 6
The area of grid, σ are Stefan-Boltzmann constant；
The corresponding meter of the unit is arrived in the radiation energy magnitude of step 10, each boundary element that step 9 is calculated, storage
It adds in the memory headroom of journey；
Luminal border face in step 11, each subregion acquired based on step 6, the institute in its corresponding calculation procedure
There is the grid cell on luminal border face to be traversed；
The radiation energy magnitude of step 12, each boundary element calculated based on step 9, on the luminal border of step 11
In unit ergodic process, each boundary element receives the radiation energy magnitude that other all boundary elements are calculated when traversing；
In this step:
1) if the unit for sending radiation energy magnitude is located in same multiblock technique with the unit traversed, then illustrating
At this point, the transmitting of radiation energy magnitude is completed under the same calculation procedure；Spoke is directly realized by the calculating of memory at this time
Penetrate the transmitting of energy value；
2) if the unit of transmission radiation energy magnitude and the unit traversed be not in same multiblock technique, then illustrating
The transmitting of radiation energy magnitude at this time needs to be transmitted to another calculation procedure from a calculation procedure；Pass through the letter of striding course at this time
Breath is sent and information receives the transmitting to realize radiation energy magnitude；The information of striding course sends parallel by MPI with information reception
Programming is realized；
After step 13, completion step 12, each boundary element has received the radiation energy magnitude of all other boundary element, obtains
To other units because radiation is transmitted to this unit and increased energy；
The radiation energy magnitude of this boundary element that step 9 is calculated, in addition other units are because radiation is transmitted to this
Unit and increased energy obtain the energy that this unit after the radiation of inner cavity obtains；
The energy that step 14, the boundary element for obtaining step 13 obtain is as energy input, as next time step
The boundary condition that middle step 7 calculates；
The boundary element traversal that step 15, end step 11 start；
Step 16 updates the calculating moment；If calculating moment when n-th of time step is t, when the calculating of n+1 time step
Carving is t+ Δ t；Time interval between when Δ t n-th of time step of expression and when (n+1)th time step；
Step 17 repeats step 7~16, is more than the calculating total time that step 4 is arranged until currently calculating the moment, calculates knot
Beam.
Further, the efficient parallel calculation method of a kind of inner cavity vacuum radiation emulation as described above in step 5, is led to
It crosses Metis software and uniform segmentation is carried out to grid.
Technical solution of the present invention is led to by a kind of High Efficient Parallel Algorithms of inner cavity vacuum radiation emulation based on FInite Element
It crosses subregion paralleling tactic and traversal optimizes, realize the efficient emulation of inner cavity vacuum radiation problem.With traditional searching loop method
It compares, the present invention is based on the thoughts of zone Divided Parallel Calculation, devise a kind of new efficient parallel meter for inner cavity vacuum radiation
Calculation method greatly improves the simulation efficiency of inner cavity vacuum radiation problem.Therefore, present invention practical application valence with higher
Value and very high engineering application value.
Specific embodiment
The present invention devises a kind of efficient parallel calculation method of inner cavity vacuum radiation emulation based on FInite Element, passes through
In terms of subregion is calculated with paralleling tactic two, the simulation efficiency of inner cavity vacuum radiation problem is greatly improved.Emulation mode is successively
The following steps are included:
Step 1, acquisition have the exact shape and physical size of the solid structure of inner cavity problem, establish 3D solid unit
Finite element grid；
Acquire temperature boundary condition, hot-fluid boundary condition, the converctive heat transfer boundary item of the finite element grid of this step foundation
The boundary surface grids of part；
Step 2, the coefficient of heat conduction for acquiring solid structure；
The boundary condition value of temperature collection boundary condition, hot-fluid boundary condition and Convection Heat Transfer Boundary Conditions；
Wherein, temperature boundary condition is boundary temperature value, and hot-fluid boundary condition is boundary heat flow value, coefficient of heat transfer perimeter strip
Part coefficient of heat transfer value and known fluid temperature values；
Step 3, the boundary surface grids for acquiring inner cavity radiation boundary condition；
The emissivity for acquiring luminal border, is denoted as ε；
Step 4, the time step that transient state heat transfer calculations are set；Setting calculates total time；
The finite element grid of step 5, the 3D solid unit established based on step 1 carries out uniform segmentation to the grid；It will
The number of partitions is denoted as F；Partition method is that maturation software Metis can be used to realize known in industry；
The finite element multiblock technique of step 6, the inner cavity radiation boundary condition and step 5 foundation that are acquired based on step 3, acquisition
Corresponding luminal border condition in each grid division；
Luminal border face in each subregion is denoted as { U1,U2,…,UF}；
Acquire the area A of each subregion luminal border surface grids；
Step 7, the number of partitions F based on step 5, open F parallel computation process, each grid division is one corresponding
Calculation procedure；Calculation procedure number is corresponding with grid division number；
The boundary for each boundary condition that the finite element grid of 3D solid unit based on step 1 foundation, step 1 acquire
The thermal transient that surface grids, the numerical value of the solid thermal conduction coefficient that step 2 acquires and each boundary condition, step 4 are arranged, which is transmitted, to be counted
The multiblock technique that the time step and step 5 of calculation acquire, carries out the FEM calculation without inner cavity radiation value of Paralleled；Its
Calculation method is known in industry, reference can be made to below with reference to document:
[1] Wang Xu is at the Beijing Finite Element [M]: publishing house of Tsinghua University, and 2003；
[2] Beijing finite element analysis [M] of the good heat conduction problem of Huang Houcheng, Wang Qiu: Science Press, 2011 years.
Luminal border face { the U of step 8, each subregion acquired based on step 61,U2,…,UF, it calculates in acquisition step 7
Temperature value set on the luminal border face of obtained each subregion, is denoted as { T1,T2,…,TF}；
Wherein, Ti(i=1,2 ... F) are the set of each boundary surface grids on i-th of luminal border face,Ni is the face element number in the inland river boundary face of i-th of grid division；
Temperature value in step 9, each luminal border unit obtained based on step 8
Calculate energy of each boundary element by radiation lossIt is defined as radiation energy magnitude, (i=1,
2 ..., F), (j=1,2 ..., ni), ni is the face element number in the inland river boundary face of i-th of grid division；
Wherein, ε is the luminal border emissivity that step 3 acquires, and A is each subregion luminal border face acquired in step 6
The area of grid, σ are Stefan-Boltzmann constant；
The corresponding meter of the unit is arrived in the radiation energy magnitude of step 10, each boundary element that step 9 is calculated, storage
It adds in the memory headroom of journey；
Luminal border face in step 11, each subregion acquired based on step 6, the institute in its corresponding calculation procedure
There is the grid cell on luminal border face to be traversed；By taking n-th multiblock technique as an example (1≤N≤F), it is corresponding calculate into
Journey number is also N, this step carries out time the unit on the luminal border face of n-th multiblock technique just in n-th calculation procedure
It goes through；
The radiation energy magnitude of step 12, each boundary element calculated based on step 9, on the luminal border of step 11
In unit ergodic process, each boundary element receives the radiation energy magnitude that other all boundary elements are calculated when traversing；
In this step:
1) if the unit for sending radiation energy magnitude is located in same multiblock technique with the unit traversed, then illustrating
At this point, the transmitting of radiation energy magnitude is completed under the same calculation procedure；Spoke is directly realized by the calculating of memory at this time
Penetrate the transmitting of energy value；
2) if the unit of transmission radiation energy magnitude and the unit traversed be not in same multiblock technique, then illustrating
The transmitting of radiation energy magnitude at this time needs to be transmitted to another calculation procedure from a calculation procedure；Pass through the letter of striding course at this time
Breath is sent and information receives the transmitting to realize radiation energy magnitude；The information of striding course sends parallel by MPI with information reception
Programming is realized；Its method is known in industry, reference can be made to below with reference to document:
[3] all will brightness high-performance calculation multiple programming technology --- Beijing MPI parallel Programming: Tsinghua University publishes
Society, 2001.
After step 13, completion step 12, each boundary element has received the radiation energy magnitude of all other boundary element, obtains
To other units because radiation is transmitted to this unit and increased energy；
The radiation energy magnitude of this boundary element that step 9 is calculated, in addition other units are because radiation is transmitted to this
Unit and increased energy obtain the energy that this unit after the radiation of inner cavity obtains；
The energy that step 14, the boundary element for obtaining step 13 obtain is as energy input, as next time step
The boundary condition that middle step 7 calculates；
The boundary element traversal that step 15, end step 11 start；
Step 16 updates the calculating moment；If calculating moment when n-th of time step is t, when the calculating of n+1 time step
Carving is t+ Δ t；Time interval between when Δ t n-th of time step of expression and when (n+1)th time step；
Step 17 repeats step 7~16, is more than the calculating total time that step 4 is arranged until currently calculating the moment, calculates knot
Beam.
Claims (2)
1. the efficient parallel calculation method that a kind of inner cavity vacuum radiation of chimb circle emulates, it is characterised in that: the following steps are included:
Step 1, acquisition have the exact shape and physical size of the solid structure of inner cavity problem, establish having for 3D solid unit
Limit first grid；
Acquire the temperature boundary condition of finite element grid of this step foundation, hot-fluid boundary condition, Convection Heat Transfer Boundary Conditions
Boundary surface grids；
Step 2, the coefficient of heat conduction for acquiring solid structure；
Temperature collection boundary condition, hot-fluid boundary condition, convection transfer rate, fluid temperature values；
Wherein, temperature boundary condition is boundary temperature value, and hot-fluid boundary condition is boundary heat flow value；
Step 3, the boundary surface grids for acquiring inner cavity radiation boundary condition；
The emissivity for acquiring luminal border, is denoted as ε；
Step 4, the time step that transient state heat transfer calculations are set；Setting calculates total time；
The finite element grid of step 5, the 3D solid unit established based on step 1 carries out uniform segmentation to the grid；By subregion
Number scale is F；
The finite element multiblock technique of step 6, the inner cavity radiation boundary condition and step 5 foundation that are acquired based on step 3, acquisition are each
Corresponding luminal border condition in grid division；
Luminal border face in each subregion is denoted as { U1,U2,…,UF}；
Acquire the area A of each subregion luminal border surface grids；
Step 7, the number of partitions F based on step 5 open F parallel computation process, the corresponding calculating in each grid division
Process；Calculation procedure number is corresponding with grid division number；
The boundary veil for each boundary condition that the finite element grid of 3D solid unit based on step 1 foundation, step 1 acquire
The transient state heat transfer calculations that lattice, the numerical value of the solid thermal conduction coefficient that step 2 acquires and each boundary condition, step 4 are arranged
The multiblock technique that time step and step 5 acquire, carries out the FEM calculation without inner cavity radiation value of Paralleled；
Luminal border face { the U of step 8, each subregion acquired based on step 61,U2,…,UF, it is calculated in acquisition step 7
Each subregion luminal border face on temperature value set, be denoted as { T1,T2,…,TF}；
Wherein, TiFor the set of each boundary surface grids on i-th of luminal border face, i=1,2 ... F；I=1,2 ... F, ni are the face element number on the luminal border face of i-th of grid division；
Temperature value in step 9, each luminal border unit obtained based on step 8I=1,2 ... F；
Calculate energy of each boundary element by radiation lossIt is defined as radiation energy magnitude, i=1,2 ... F, j=
1,2 ... ni, ni are the face element number on the luminal border face of i-th of grid division；
Wherein, ε is the luminal border emissivity that step 3 acquires, and A is each subregion luminal border surface grids acquired in step 6
Area, σ be Stefan-Boltzmann constant；
The radiation energy magnitude of step 10, each boundary element that step 9 is calculated, storage to the unit it is corresponding calculate into
In the memory headroom of journey；
Luminal border face in step 11, each subregion acquired based on step 6, it is all interior in its corresponding calculation procedure
Grid cell in chamber boundary face is traversed；
The radiation energy magnitude of step 12, each boundary element calculated based on step 9, the unit on the luminal border of step 11
In ergodic process, each boundary element receives the radiation energy magnitude that other all boundary elements are calculated when traversing；At this
In step:
1) if the unit for sending radiation energy magnitude is located in same multiblock technique with the unit traversed, then illustrating this
When, the transmitting of radiation energy magnitude is completed under the same calculation procedure；Radiation is directly realized by the calculating of memory at this time
The transmitting of energy value；
2) if the unit of transmission radiation energy magnitude and the unit traversed be not in same multiblock technique, then illustrating at this time
The transmitting of radiation energy magnitude needs to be transmitted to another calculation procedure from a calculation procedure；It is sent out at this time by the information of striding course
It send with information reception and realizes the transmitting of radiation energy magnitude；The information of striding course, which sends to receive with information, passes through MPI multiple programming
It realizes；
After step 13, completion step 12, each boundary element has received the radiation energy magnitude of all other boundary element, obtains it
Its unit is because radiation is transmitted to this unit and increased energy；
The radiation energy magnitude of this boundary element that step 9 is calculated, in addition other units are because radiation is transmitted to this unit
And increased energy, obtain the energy of this unit acquisition after the radiation of inner cavity；
The energy that step 14, the boundary element for obtaining step 13 obtain is as energy input, as walking in next time step
Rapid 7 boundary conditions calculated；
The boundary element traversal that step 15, end step 11 start；
Step 16 updates the calculating moment；If calculating moment when n-th of time step is t, the calculating moment of n+1 time step is t
+Δt；Time interval between when Δ t n-th of time step of expression and when (n+1)th time step；
Step 17 repeats step 7~16, is more than the calculating total time that step 4 is arranged until currently calculating the moment, calculating terminates.
2. a kind of efficient parallel calculation method of the inner cavity vacuum radiation emulation of chimb circle as described in claim 1, feature
It is: in step 5, uniform segmentation is carried out to grid by Metis software.
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