High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics

  • Authors:

  • Yu-Hsin Shi;J. C. Huang;J. Y. Yang

  • Affiliations:

  • Institute of Applied Mechanics, National Taiwan University, 1, Sec. 4, Roosevelt Road, Tapei, Taiwan 10764, Taiwan;Institute of Applied Mechanics, National Taiwan University, 1, Sec. 4, Roosevelt Road, Tapei, Taiwan 10764, Taiwan;Institute of Applied Mechanics, National Taiwan University, 1, Sec. 4, Roosevelt Road, Tapei, Taiwan 10764, Taiwan

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2007

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Abstract

A class of high resolution kinetic beam schemes in multiple space dimensions in general coordinates system for the ideal quantum gas is presented for the computation of quantum gas dynamical flows. The kinetic Boltzmann equation approach is adopted and the local equilibrium quantum statistics distribution is assumed. High-order accurate methods using essentially non-oscillatory interpolation concept are constructed. Computations of shock wave diffraction by a circular cylinder in an ideal quantum gas are conducted to illustrate the present method. The present method provides a viable means to explore various practical ideal quantum gas flows.