Reanalysis-based space mapping method, an alternative optimization way for expensive simulation-based problems

The computational cost of evaluation in the design procedure is an essential bottleneck for simulation-based applications. To handle this problem, space mapping(SM) algorithm and reanalysis method are integrated to improve the efficiency of optimization without loss of accuracy. In the suggested method, the SM algorithm is used to construct the projection between coarse and fine spaces. In the coarse space, the reanalysis method is used to analyze finite element (FE) models. Compared with surrogate assisted evaluation, the accuracy of reanalysis method is significantly improved due to introduction of equilibrium equations. Generally, compared with other SM algorithms, coarse and fine spaces are based on solvers instead of models. Due to the high accurate reanalysis method, the reanalysis-based SM algorithm is easier to converge. Moreover, to integrate geometry and finite element models easily, a B-rep based reanalysis method is also introduced. To verify the performance of the suggested method, two examples have been carried out by using reanalysis based space mapping method. According to the results, the efficiency of optimization procedure is improved significantly.

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