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多相流体問題における省通信Krylov部分空間法の性能評価

Performance evaluations of communication-avoiding Krylov subspace methods in multi-phase thermal-hydraulic problem

真弓 明恵; 井戸村 泰宏  ; 山田 進 ; 伊奈 拓也; 山下 晋 

Mayumi, Akie; Idomura, Yasuhiro; Yamada, Susumu; Ina, Takuya; Yamashita, Susumu

多相多成分熱流動解析コードJUPITERのPoissonソルバに省通信CG法を実装し、実問題における収束特性と処理性能を調査した。省通信化に伴う数値誤差の蓄積による収束特性悪化の問題を分析し、アルゴリズムを部分的に4倍精度化して収束特性を向上する手法を考案した。

In this work, we implemented the Communication-Avoiding CG (CA-CG) method to the Poisson solver in the JUPITER code, which analyzes a multi-phase thermal-hydraulic problem, and evaluated its convergence property and computational performance. We analyzed the degradation of the convergence property due to accumulation of numerical errors associated with CA procedures, and applied quad-precision computation to a part of the CA-CG method to improve the convergence property.

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