The Navier-Stokes Equation Associated with the Discrete Boltzmann Equation

Shuichi Kawashima, Yasushi Shizuta

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)15-30
Number of pages16
JournalNorth-Holland Mathematics Studies
Volume160
Issue numberC
DOIs
Publication statusPublished - 1989 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'The Navier-Stokes Equation Associated with the Discrete Boltzmann Equation'. Together they form a unique fingerprint.

  • Cite this