An Iterative Finite-Volume Method on an Unstructured Moving Grid (1st Report, The Fundamental Formulation and Validation for Unsteady Compressible Flows)

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  • 非構造移動格子有限体積法（第１報，非定常圧縮性流れに対する基礎的定式化と検証）
  • ヒコウゾウ イドウ コウシ ユウゲン タイセキホウ ダイ1ポウ ヒテイジョウ アッシュクセイ ナガレ ニ タイスル キソテキ テイシキカ ト ケンショウ

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Unstructured grid system is suitable for flows with complex boundary geometry's. As for the problem with moving boundary walls, the grid system is also changing and deforming with time. In this paper, a new moving-grid finite volume method on unstructured grid system is presented and developed for unsteady compressible flows. To assure geometric conservation laws on moving grid system, a control volume on the space-time unified domain is adopted for estimating numerical flux. The method is implicit and is solved iteratively at every time step in order to assure both the geometric conservation laws and numerical accuracy. The method is described for two-dimensional flows and validated using simple test problems. Application to a piston problem and a gun tunnel problem has shown a promising feature of the method.

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