A multidimensional approach to rarefied and transitional flows with the CIP method

Authors

  • Takashi Yabe,

    1. Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro, Tokyo 152-8552, Japan
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  • Youichi Ogata

    Corresponding author
    1. Department of Mechanical System Engineering, Hiroshima University, 1-4-1, Kagamiyama, Higashi Hiroshima-shi, Hiroshima 739-8527, Japan
    • Department of Mechanical System Engineering, Hiroshima University, 1-4-1, Kagamiyama, Higashi Hiroshima, Hiroshima 739-8527, Japan
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Abstract

A high-order kinetic approach based on the CIP method to solve the nonlinear multidimensional Bhatnagar–Gross–Krook equation is presented. Some applications such as Couette/Poiseulle flows and supersonic flows show that the present method can give accurate and stable solutions for both rarefied and transitional gas flows. A new adaptive Soroban-grid which is suitable for the CIP method is combined with the present method for supersonic flows to track steep profiles such as shock fronts with higher resolution than fixed grids. Copyright © 2010 John Wiley & Sons, Ltd.

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