The Navier-Stokes Equation Associated with the Discrete Boltzmann Equation

Shuichi Kawashima, Yasushi Shizuta

研究成果: ジャーナルへの寄稿記事

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.

元の言語英語
ページ(範囲)15-30
ページ数16
ジャーナルNorth-Holland Mathematics Studies
160
発行部数C
DOI
出版物ステータス出版済み - 1 1 1989

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Discrete Equations
Boltzmann Equation
Navier-Stokes Equations
Symmetric Hyperbolic Systems
Dependent
Parabolic Systems
Coupled System
Model

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

The Navier-Stokes Equation Associated with the Discrete Boltzmann Equation. / Kawashima, Shuichi; Shizuta, Yasushi.

:: North-Holland Mathematics Studies, 巻 160, 番号 C, 01.01.1989, p. 15-30.

研究成果: ジャーナルへの寄稿記事

Kawashima, Shuichi ; Shizuta, Yasushi. / The Navier-Stokes Equation Associated with the Discrete Boltzmann Equation. :: North-Holland Mathematics Studies. 1989 ; 巻 160, 番号 C. pp. 15-30.
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