Numerical Simulation of Unsteady Shock Waves using the Piecewise Parabolic Method(PPM).

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  • 区分的放物法を用いた非定常衝撃波の数値解析
  • クブンテキ ホウブツホウ オ モチイタ ヒテイジョウ ショウゲキハ ノ スウチ

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Abstract

The reflection of planar shock waves over a compressive corner is one of the most important problems that must be resolved in order to clarify the structure of shock-wave reflections. This kind of problem has been investigated both experimentally and theoretically in the past few decades. In spite of many approaches, there remain some problems to be solved with respect to the generative factors or structures of Mach reflection. A numerical simulation, which can examine the flow fields quantitatively and in detail, has become very important recently. However, a numerical method, which provide results that agree well with the experimental results, has never been established, and occasionally the numerical results show an unphysical phenomenon which does not appear in the experimental results. This is due to the lack of resolution of the complicated flow patterns containing many shocks. A high-order accuracy scheme has been developed recently. The piecewise parabolic method (PPM) is important as the high-order accuracy scheme which can examine fluid flow with strong shocks. The PPM scheme is a high-Order extension of Godunov's method and simulates the physical phenomenon accurately.

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