2次元および3次元数値流体解析への前処理付き共役勾配法系統の解法の適用

概要

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Performance evaluation of the preconditioned conjugate gradient-like methods is made through the numerical simulation of two and three dimensional turbulent flow fields with the finite volume method. Preconditioned solvers examined include conjugate gradient method (PCG), conjugate residual method (PCR), bi-conjugate gradient method (PBCG) and conjugate gradient squared method (PCGS). Comparisons of the performance of the solvers demonstrate that the combination of PCG for the pressure-correction equation and PCR for the othe equations requires the least CPU time against both two and three dimensional flows. PCR, PBCG and PCGS are shown to be superior to the vectorized strongly implicit procedure (SIP) proposed by Stone when they are used together with PCG.