Adaptive Grid Method Using Elliptic Equation for Compressible Flows.

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  • 圧縮性流れに対する楕円型解適合格子法
  • アッシュクセイ ナガレ ニ タイスル ダエンガタ カイ テキゴウ コウシホウ

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Abstract

An adaptive grid method that uses an elliptic equation is developed and applied to shocked flows. In this paper, two improvements are introduced to the adaptive grid method. In the adaptive grid method of the elliptic type, construction of a control function, which is the source term of the Poisson equation and can control the grid distribution, is key to the generation of high-quality grids. Instead of an actual solution, modified solution is used for estimation of the control functions with effective grid control for a shocked region. Grid skewness is one of the problems in the solution-adaptive grid method. To avoid severe grid skewness and attain more flexible adaptive gridding, the adaptive grid method is combined with an overset grid method. Overset subgrids are placed in regions where shock waves stand and the adaptive grid method is applied to the these subgrids. The applicability of the present method to the supersonic channel flows is demonstrated.

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