Hierarchical Domain Decomposition Parallelization for Local POD with Adaptive Basis Selection

Abstract

POD (proper orthogonal decomposition) is a method for obtaining a basis for representing physical phenomena and has been used in reduced order models for fast analysis. To apply POD to large-scale problems, distributed memory parallel computing, in which parallel processes are allocated to each partitioned subdomain, is effective. On the other hand, Local POD, which obtains a basis for each decomposed subdomain, has been proposed to improve the computational efficiency of POD. Against this background, we propose a method to independently set subdomains where the basis is acquired and subdomains where parallel processes are allocated. In this study, the selection of the appropriate number of bases for each subdomain and the extension to load balancing will be implemented.