Multi-Block Computation by Characteristic Interface Conditions with High-Order Interpolation

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  • 高次精度補間を導入した特性インターフェイス条件によるマルチブロック計算法
  • コウジ セイド ホカン オ ドウニュウ シタ トクセイ インターフェイス ジョウケン ニ ヨル マルチブロック ケイサンホウ

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Abstract

In the previous study, the authors proposed the generalized characteristic interface conditions (GCIC) for high-order finite difference multi-block computation in the structured grid system. The GCIC can realize single point connection between adjacent blocks, and allows metric discontinuities on the block interface, however, the grid points of the adjacent blocks have to be collocated correspondingly on the block interface. In this study, in order to enhance the flexibility of the GCIC, by incorporating the high-order interpolation method such as the Lagrange or B-spline interpolation, the GCIC+I (GCIC with Interpolation) are newly developed and introduced. The GCIC+I can solve multi-block problem with non-uniform staggered grid connection on the block interface, and the grid resolution can be arbitrarily changed in each block. In this article, their theoretical concept is briefly presented, and suitable numerical test analysis of inviscid or viscous flow is conducted in order to validate the proposed theory. As a result, the successful functions of the GCIC+I are confirmed.

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