The Navier-Stokes Equation Associated with the Discrete Boltzmann Equation

Shuichi Kawashima, Yasushi Shizuta

研究成果: Article査読

抄録

This chapter is a summary of the work concerning the Navier-Stokes equation derived from the discrete Boltzmann equation. It considers a model of gas whose molecular velocities are restricted to a set of m constant vectors v1,vm in IRn. The purpose of this chapter is to study the hydrodynamical equations derived from the discrete Boltzmann equation by applying the Chapman-Enskog method. This chapter shows that the Navier-Stokes equation is transformed into a symmetric system by change of the dependent variable. It is known that the Navier-Stokes equation can be transformed into a coupled system of a symmetric hyperbolic system and a symmetric strongly parabolic system, by changing the dependent variable from w t o u.

本文言語English
ページ(範囲)15-30
ページ数16
ジャーナルNorth-Holland Mathematics Studies
160
C
DOI
出版ステータスPublished - 1989 1 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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