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Coarse grid selection method based on BDDC region decomposition parallel algorithm

A parallel algorithm and region decomposition technology, applied in design optimization/simulation, special data processing applications, etc., can solve problems such as low computing efficiency, and achieve the effect of ensuring stability and improving parallel simulation prediction efficiency.

Pending Publication Date: 2022-04-19
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

The present invention can effectively solve the problem of low calculation efficiency caused by the jump of subdomain interface material coefficients of the flexible multi-body system, thereby improving the efficiency of parallel simulation prediction of the flexible multi-body system based on the BDDC region decomposition parallel algorithm, and further solving the large-scale flexible multi-body system Parallel Simulation Prediction Related Engineering Technology Issues

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  • Coarse grid selection method based on BDDC region decomposition parallel algorithm
  • Coarse grid selection method based on BDDC region decomposition parallel algorithm
  • Coarse grid selection method based on BDDC region decomposition parallel algorithm

Examples

Experimental program
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Embodiment 1

[0108] Embodiment 1 thin plate vibration model

[0109] Such as figure 1 Shown is the vibration of a single thin plate when it is supported by a uniform force on one side. The side length of a square thin plate is 1m, and the left boundary is fixed and supported by a uniform force f y For use, the size is 200MPa, the direction is along the negative direction of the y-axis, and the density of the sheet is ρ=1600kg / m 3 , Poisson's ratio μ=0.3. Divide 4, 16, 64 and 256 sub-domains for the overall calculation domain of the thin plate, and divide 256, 64, 16 and 4 units in each sub-domain to ensure that the total number of units in the overall calculation domain is 1024. The material coefficient between domains is E 1 =1×10 10 Pa and E 2 =1×10 13 Pa interval distribution, the eigenvalue parameter is taken as λ Tol =1. The four regions are divided into figure 2 shown.

[0110] Taking 256 units in each of the 4 sub-domains as an example, the coarse grid selection method ba...

Embodiment 2 3

[0232] Embodiment 2 Triangular prism type expandable film structure

[0233] Such as Figure 5 As shown, a triangular prism-type expandable film structure with a length of 100m is established. The degree of freedom of the model is 154848. By dividing the number of regions p=6, 12, 24, 36, the BDDC-based region decomposition disclosed by the present invention The coarse grid selection method of the parallel algorithm obtains an adaptive coarse grid applied to the BDDC region decomposition parallel algorithm and compares the iterative results of the original coarse grid selection method, as shown in Table 1:

[0234] Table 1 METIS regional decomposition results

[0235]

[0236] It can be seen that the condition number and iteration number of the iterative results of the BDDC region decomposition parallel algorithm increase significantly with the increase of the number of partitions after the original coarse grid selection method is adopted. For connecting parts, as the num...

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Abstract

The invention discloses a coarse mesh selection method based on a BDDC region decomposition parallel algorithm, and belongs to the field of large-scale flexible multi-body system parallel simulation prediction. According to the method, the Deluxe scaling matrix is used for constructing the generalized characteristic equation coefficient matrix, and the situation that the coefficient of a sub-domain interface material jumps in the flexible multi-body system can be effectively solved; besides, by calculating a secondary Sul complement matrix of a common edge and condensing information of the rest of the interface except the common edge in the flexible multi-body system subdomain, the stability of the BDDC region decomposition parallel algorithm is ensured effectively aiming at the situation that the subdomain interface material coefficient of the flexible multi-body system jumps, and the method is suitable for large-scale popularization and application of the flexible multi-body system. And the parallel simulation prediction efficiency of the flexible multi-body system is improved. According to the method, the problem of low efficiency caused by coefficient jump of the sub-domain interface material of the flexible multi-body system can be solved, the parallel simulation prediction efficiency of the flexible multi-body system based on the BDDC region decomposition parallel algorithm is improved, and then the related technical problems in the field of parallel simulation prediction of the large-scale flexible multi-body system are solved.

Description

technical field [0001] The invention belongs to the field of parallel simulation prediction of large-scale flexible multi-body systems, and relates to a coarse grid selection method based on BDDC region decomposition parallel algorithm. Background technique [0002] With the rapid development of aerospace technology and the increasing demand for aerospace applications, deployable space structures such as antennas and solar sails on spacecraft are becoming larger and lighter. The development of large-scale space expandable structure technology will be of great significance to improving my country's core competitiveness in international space technology in the future. Since it is impossible to carry out simulated deployment tests on such large-scale space deployable structures in microgravity, vacuum and other space environments on the ground, and the risks and funds of conducting deployment tests in space are even more unbearable, therefore, there is an urgent need for the de...

Claims

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Application Information

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IPC IPC(8): G06F30/20
CPCG06F30/20
Inventor 荣吉利兰靖杰刘铖辛鹏飞吴志培
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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