風上化 LSMPS 法に基づく Euler 型解法による大規模並列解析

抄録

This study develops a numerical method for large-scale parallel analysis in Euler description based on the mesh-free method for optimal topology design. Therefore, we propose an upwind scheme for the least squares moving particle semi-implicit (LSMPS) method to stabilize numerical oscillations associated with the Euler description. In addition, we extend the distributed memory parallelization method based on a conventional overlapping domain decomposition to the graph structure of the particles, and develop a parallel convection–diffusion analysis solver based on our proposed upwind LSMPS method. Furthermore, we perform a verification and scaling tests of the proposed method by solving the 3D convection–diffusion problem.