CN105631064A - Efficient parallel computing method for vacuum radiation simulation of inner cavity in convex boundary - Google Patents
Efficient parallel computing method for vacuum radiation simulation of inner cavity in convex boundary Download PDFInfo
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Abstract
The invention belongs to the technical field of simulation methods for vacuum radiation of inner cavities, and particularly relates to a finite element method based efficient parallel computing method for vacuum radiation simulation of an inner cavity. According to the technical scheme, efficient simulation of the vacuum radiation problem of the inner cavity is realized through a partition parallel policy and traversal optimization by a finite element method based efficient parallel computing algorithm for vacuum radiation simulation of the inner cavity. Compared with a conventional circulating traversal method, the invention designs a new efficient parallel computing method for vacuum radiation of the inner cavity based on a thought of partition parallel computing, so that the simulation efficiency of the vacuum radiation problem of the inner cavity is greatly improved. Therefore, the efficient parallel computing method has relatively high practical application values and very high engineering application values.
Description
Technical field
The invention belongs to inner chamber vacuum radiation emulation mode technical field, be specifically related to the efficient parallel computational methods that a kind of inner chamber vacuum radiation based on FInite Element emulates.
Background technology
In industrial design, it is necessary to substantial amounts of hot problem of transmission is carried out simulation calculation. The mode of heat transmission includes 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 had become as main method, has played important effect in the heat transmission emulation of the isotropism/anisotropic material of wall surface temperature boundary condition, hot-fluid boundary condition, Convection Heat Transfer Boundary Conditions and electromagenetic wave radiation boundary condition.
Heat transmission emulation for the isotropism/anisotropic material of wall surface temperature boundary condition, hot-fluid boundary condition, Convection Heat Transfer Boundary Conditions and background radiation condition, the computational methods relative maturity being representative with FInite Element at present, computational efficiency and parallel method also relative maturity. But, for inner chamber vacuum radiation problem, relating to the radiant heat transmission between all of finite element unit in inner chamber, calculate larger, parallel method is still immature, and computational efficiency and parallel efficiency are still needed raising.
Therefore, need a kind of inner chamber based on Finite Element Method of design badly and radiate the efficient parallel computational methods of emulation.
Summary of the invention
The technical problem to be solved in the present invention is to provide the efficient parallel computational methods that a kind of inner chamber vacuum radiation based on FInite Element emulates, it is achieved the efficient emulation of inner chamber vacuum radiation problem.
In order to realize this purpose, the present invention adopts the technical scheme that:
The efficient parallel computational methods of the inner chamber vacuum radiation emulation of a kind of chimb circle, comprise the following steps:
Step 1, the exact shape gathering the solid structure with inner chamber problem and physical size, set up the finite element grid of 3D solid unit;
Gather the boundary face grid of the temperature boundary condition of finite element grid of this step foundation, hot-fluid boundary condition, Convection Heat Transfer Boundary Conditions;
Step 2, gather solid structure the coefficient of heat conduction;
The boundary condition value of collecting temperature 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 border heat flow value, coefficient of heat transfer boundary condition coefficient of heat transfer value and known fluid temperature values;
Step 3, gather inner chamber radiation boundary condition boundary face grid;
Gather the emissivity of luminal border, be designated as ��;
Step 4, the time step of transient state heat transfer calculations is set; Calculating total time is set;
Step 5, the finite element grid of 3D solid unit set up based on step 1, carry out uniform segmentation to this grid; The number of partitions is designated as F;
The finite element multiblock technique that step 6, the inner chamber radiation boundary condition and the step 5 that gather based on step 3 are set up, gathers luminal border condition corresponding in each grid division;
Luminal border face in each subregion is designated as { U1,U2,��,UF;
Gather the area A of each subregion luminal border surface grids;
Step 7, number of partitions F based on step 5, open F parallel computation process, the corresponding calculation procedure in each grid division; Calculation procedure number is corresponding with grid division number;
The time step of the transient state heat transfer calculations that the solid thermal coefficient of conductivity gathered based on the finite element grid of 3D solid unit of step 1 foundation, the boundary face grid of each boundary condition of step 1 collection, step 2 and the numerical value of each boundary condition, step 4 are arranged and the multiblock technique of step 5 collection, carry out the FEM calculation without inner chamber radiation value of Paralleled;
Step 8, the luminal border face { U of each subregion gathered based on step 61,U2,��,UF, in acquisition step 7, temperature value set on the luminal border face of calculated each subregion, is denoted as { T1,T2,��,TF;
Wherein, Ti(i=1,2 ... F) for the set of each boundary face grid on i-th luminal border face,Ni is the face element number in the inland river boundary face of i-th grid division;
Temperature value on step 9, each luminal border unit obtained based on step 8
Calculate each boundary element energy by radiation lossIt is defined as radiant energy value, (i=1,2 ..., F), (j=1,2 ..., ni), ni is the face element number in the inland river boundary face of i-th grid division;
Wherein, �� is the luminal border emissivity that step 3 gathers, and A is the area of each subregion luminal border surface grids gathered in step 6, and �� is Stefan-Boltzmann constant;
Step 10, by the radiant energy value of calculated for step 9 each boundary element, store in the memory headroom of calculation procedure corresponding to this unit;
Step 11, based on step 6 gather each subregion in luminal border face, the grid cell on all luminal border faces in the calculation procedure of its correspondence travels through;
Step 12, the radiant energy value of each boundary element calculated based on step 9, in the unit ergodic process on the luminal border of step 11, receive other all boundary elements computed radiant energy value obtained during each boundary element traversal; In this step:
1) if the unit sending radiant energy value is arranged in same multiblock technique with the unit traveled through, then illustrating now, the transmission of radiant energy value completes under same calculation procedure; The transmission of radiant energy value is now realized either directly through the calculating of internal memory;
2) if the unit of transmission radiant energy value and the unit traveled through be not in same multiblock technique, then illustrate that the transmission of now radiant energy value needs to be delivered to another calculation procedure from a calculation procedure; Information now by striding course sends and information receives the transmission realizing radiant energy value; The information of striding course is sent to receive with information and is realized by MPI multiple programming;
Step 13, complete step 12 after, each boundary element has received the radiant energy value of other boundary elements all, obtain other unit because radiation is delivered to this unit energy that increases;
By the radiant energy value of calculated for step 9 boundary element, add other unit because radiating the energy being delivered to this unit and increase, the energy that after obtaining inner chamber radiation, this unit obtains;
The energy that step 14, boundary element step 13 obtained obtain is as energy input, as the boundary condition that step 7 in next time step calculates;
The boundary element traversal that step 15, end step 11 start;
Step 16, renewal calculate the moment; If calculating moment during the n-th time step is t, then the calculating moment of n+1 time step is t+ �� t; Interval between when �� t represents the n-th time step and during (n+1)th time step;
Step 17, repetition step 7��16, until the current calculating moment exceedes the calculating total time that step 4 is arranged, calculating terminates.
Further, the efficient parallel computational methods of a kind of inner chamber vacuum radiation as above emulation, in step 5, by Metis software, grid is carried out uniform segmentation.
The High Efficient Parallel Algorithms that technical solution of the present invention is emulated by a kind of inner chamber vacuum radiation based on FInite Element, is optimized with traversal by Paralleled strategy, it is achieved that the efficient emulation of inner chamber vacuum radiation problem. Compared with traditional searching loop method, the present invention, based on the thought of zone Divided Parallel Calculation, devises a kind of new efficient parallel computational methods for inner chamber vacuum radiation, greatly improves the simulation efficiency of inner chamber vacuum radiation problem. Therefore, the present invention has higher actual application value and significantly high engineer applied value.
Detailed description of the invention
The present invention devises the efficient parallel computational methods that a kind of inner chamber vacuum radiation based on FInite Element emulates, and is calculated and paralleling tactic two aspect by subregion, greatly improves the simulation efficiency of inner chamber vacuum radiation problem. Emulation mode comprises the following steps successively:
Step 1, the exact shape gathering the solid structure with inner chamber problem and physical size, set up the finite element grid of 3D solid unit;
Gather the boundary face grid of the temperature boundary condition of finite element grid of this step foundation, hot-fluid boundary condition, Convection Heat Transfer Boundary Conditions;
Step 2, gather solid structure the coefficient of heat conduction;
The boundary condition value of collecting temperature 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 border heat flow value, coefficient of heat transfer boundary condition coefficient of heat transfer value and known fluid temperature values;
Step 3, gather inner chamber radiation boundary condition boundary face grid;
Gather the emissivity of luminal border, be designated as ��;
Step 4, the time step of transient state heat transfer calculations is set; Calculating total time is set;
Step 5, the finite element grid of 3D solid unit set up based on step 1, carry out uniform segmentation to this grid; The number of partitions is designated as F; Partition method is that industry is known, and ripe software Metis can be used to realize;
The finite element multiblock technique that step 6, the inner chamber radiation boundary condition and the step 5 that gather based on step 3 are set up, gathers luminal border condition corresponding in each grid division;
Luminal border face in each subregion is designated as { U1,U2,��,UF;
Gather the area A of each subregion luminal border surface grids;
Step 7, number of partitions F based on step 5, open F parallel computation process, the corresponding calculation procedure in each grid division; Calculation procedure number is corresponding with grid division number;
The time step of the transient state heat transfer calculations that the solid thermal coefficient of conductivity gathered based on the finite element grid of 3D solid unit of step 1 foundation, the boundary face grid of each boundary condition of step 1 collection, step 2 and the numerical value of each boundary condition, step 4 are arranged and the multiblock technique of step 5 collection, carry out the FEM calculation without inner chamber radiation value of Paralleled; Its computational methods are that industry is known, can referring to below with reference to document:
[1] Wang Xu becomes. Finite Element [M]. and Beijing: publishing house of Tsing-Hua University, 2003;
[2] Huang Houcheng, Wang Qiuliang. the finite element analysis [M] of heat conduction problem. Beijing: Science Press, 2011 years.
Step 8, the luminal border face { U of each subregion gathered based on step 61,U2,��,UF, in acquisition step 7, temperature value set on the luminal border face of calculated each subregion, is denoted as { T1,T2,��,TF;
Wherein, Ti(i=1,2 ... F) for the set of each boundary face grid on i-th luminal border face,Ni is the face element number in the inland river boundary face of i-th grid division;
Temperature value on step 9, each luminal border unit obtained based on step 8
Calculate each boundary element energy by radiation lossIt is defined as radiant energy value, (i=1,2 ..., F), (j=1,2 ..., ni), ni is the face element number in the inland river boundary face of i-th grid division;
Wherein, �� is the luminal border emissivity that step 3 gathers, and A is the area of each subregion luminal border surface grids gathered in step 6, and �� is Stefan-Boltzmann constant;
Step 10, by the radiant energy value of calculated for step 9 each boundary element, store in the memory headroom of calculation procedure corresponding to this unit;
Step 11, based on step 6 gather each subregion in luminal border face, the grid cell on all luminal border faces in the calculation procedure of its correspondence travels through; For n-th multiblock technique (1��N��F), the calculation procedure number of its correspondence is also N, and the unit on the luminal border face of n-th multiblock technique, just in n-th calculation procedure, is traveled through by this step;
Step 12, the radiant energy value of each boundary element calculated based on step 9, in the unit ergodic process on the luminal border of step 11, receive other all boundary elements computed radiant energy value obtained during each boundary element traversal; In this step:
1) if the unit sending radiant energy value is arranged in same multiblock technique with the unit traveled through, then illustrating now, the transmission of radiant energy value completes under same calculation procedure; The transmission of radiant energy value is now realized either directly through the calculating of internal memory;
2) if the unit of transmission radiant energy value and the unit traveled through be not in same multiblock technique, then illustrate that the transmission of now radiant energy value needs to be delivered to another calculation procedure from a calculation procedure; Information now by striding course sends and information receives the transmission realizing radiant energy value; The information of striding course is sent to receive with information and is realized by MPI multiple programming; Its method is that industry is known, can referring to below with reference to document:
[3] all will brightness. high-performance calculation multiple programming technology MPI parallel Programming. Beijing: publishing house of Tsing-Hua University, calendar year 2001.
Step 13, complete step 12 after, each boundary element has received the radiant energy value of other boundary elements all, obtain other unit because radiation is delivered to this unit energy that increases;
By the radiant energy value of calculated for step 9 boundary element, add other unit because radiating the energy being delivered to this unit and increase, the energy that after obtaining inner chamber radiation, this unit obtains;
The energy that step 14, boundary element step 13 obtained obtain is as energy input, as the boundary condition that step 7 in next time step calculates;
The boundary element traversal that step 15, end step 11 start;
Step 16, renewal calculate the moment; If calculating moment during the n-th time step is t, then the calculating moment of n+1 time step is t+ �� t; Interval between when �� t represents the n-th time step and during (n+1)th time step;
Step 17, repetition step 7��16, until the current calculating moment exceedes the calculating total time that step 4 is arranged, calculating terminates.
Claims (2)
1. the efficient parallel computational methods of the inner chamber vacuum radiation emulation of chimb circle, it is characterised in that: comprise the following steps:
Step 1, the exact shape gathering the solid structure with inner chamber problem and physical size, set up the finite element grid of 3D solid unit;
Gather the boundary face grid of the temperature boundary condition of finite element grid of this step foundation, hot-fluid boundary condition, Convection Heat Transfer Boundary Conditions;
Step 2, gather solid structure the coefficient of heat conduction;
The boundary condition value of collecting temperature 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 border heat flow value, coefficient of heat transfer boundary condition coefficient of heat transfer value and known fluid temperature values;
Step 3, gather inner chamber radiation boundary condition boundary face grid;
Gather the emissivity of luminal border, be designated as ��;
Step 4, the time step of transient state heat transfer calculations is set; Calculating total time is set;
Step 5, the finite element grid of 3D solid unit set up based on step 1, carry out uniform segmentation to this grid; The number of partitions is designated as F;
The finite element multiblock technique that step 6, the inner chamber radiation boundary condition and the step 5 that gather based on step 3 are set up, gathers luminal border condition corresponding in each grid division;
Luminal border face in each subregion is designated as { U1,U2,��,UF;
Gather the area A of each subregion luminal border surface grids;
Step 7, number of partitions F based on step 5, open F parallel computation process, the corresponding calculation procedure in each grid division; Calculation procedure number is corresponding with grid division number;
The time step of the transient state heat transfer calculations that the solid thermal coefficient of conductivity gathered based on the finite element grid of 3D solid unit of step 1 foundation, the boundary face grid of each boundary condition of step 1 collection, step 2 and the numerical value of each boundary condition, step 4 are arranged and the multiblock technique of step 5 collection, carry out the FEM calculation without inner chamber radiation value of Paralleled;
Step 8, the luminal border face { U of each subregion gathered based on step 61,U2,��,UF, in acquisition step 7, temperature value set on the luminal border face of calculated each subregion, is denoted as { T1,T2,��,TF;
Wherein, Ti(i=1,2 ... F) for the set of each boundary face grid on i-th luminal border face,(i=1,2 ..., F), ni is the face element number in the inland river boundary face of i-th grid division;
Temperature value on step 9, each luminal border unit obtained based on step 8(i=1,2 ..., F);
Calculate each boundary element energy by radiation lossIt is defined as radiant energy value, (i=1,2 ..., F), (j=1,2 ..., ni), ni is the face element number in the inland river boundary face of i-th grid division;
Wherein, �� is the luminal border emissivity that step 3 gathers, and A is the area of each subregion luminal border surface grids gathered in step 6, and �� is Stefan-Boltzmann constant;
Step 10, by the radiant energy value of calculated for step 9 each boundary element, store in the memory headroom of calculation procedure corresponding to this unit;
Step 11, based on step 6 gather each subregion in luminal border face, the grid cell on all luminal border faces in the calculation procedure of its correspondence travels through;
Step 12, the radiant energy value of each boundary element calculated based on step 9, in the unit ergodic process on the luminal border of step 11, receive other all boundary elements computed radiant energy value obtained during each boundary element traversal; In this step:
1) if the unit sending radiant energy value is arranged in same multiblock technique with the unit traveled through, then illustrating now, the transmission of radiant energy value completes under same calculation procedure; The transmission of radiant energy value is now realized either directly through the calculating of internal memory;
2) if the unit of transmission radiant energy value and the unit traveled through be not in same multiblock technique, then illustrate that the transmission of now radiant energy value needs to be delivered to another calculation procedure from a calculation procedure; Information now by striding course sends and information receives the transmission realizing radiant energy value; The information of striding course is sent to receive with information and is realized by MPI multiple programming;
Step 13, complete step 12 after, each boundary element has received the radiant energy value of other boundary elements all, obtain other unit because radiation is delivered to this unit energy that increases;
By the radiant energy value of calculated for step 9 boundary element, add other unit because radiating the energy being delivered to this unit and increase, the energy that after obtaining inner chamber radiation, this unit obtains;
The energy that step 14, boundary element step 13 obtained obtain is as energy input, as the boundary condition that step 7 in next time step calculates;
The boundary element traversal that step 15, end step 11 start;
Step 16, renewal calculate the moment; If calculating moment during the n-th time step is t, then the calculating moment of n+1 time step is t+ �� t; Interval between when �� t represents the n-th time step and during (n+1)th time step;
Step 17, repetition step 7��16, until the current calculating moment exceedes the calculating total time that step 4 is arranged, calculating terminates.
2. the efficient parallel computational methods of a kind of inner chamber vacuum radiation as claimed in claim 1 emulation, it is characterised in that: in step 5, by Metis software, grid is carried out uniform segmentation.
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