境界層干渉を伴う非定常衝撃波伝播に対する高効率計算手法の開発

概要

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A new numerical method using a hybrid (explicit/implicit) scheme with the matrix-free Lower-Upper Symmetric Gauss-Sidel (LU-SGS) method has been developed to compute unsteady viscous flows on highly stiff grids, where the ratio of the maximal to the minimal cell spacing is large. A dual-time stepping method is used to reduce unsteady residuals. Results show that the present method has advantage over conventional explicit and implicit schemes. The CPU time has been reduced by 69% and 57% compared with the 2nd-order explicit scheme and the full implicit scheme, respectively, in the case of a rather low Reynolds number flow. On the other hand, at a practical Reynolds number of 5.54×107, the CPU time becomes about 30 times shorter than that of the explicit scheme.
社団法人日本航空宇宙学会の論文
2004-05-05