Boltzmann Schemes for the Compressible Navier-Stokes Equations

Abstract

Numerical schemes for the compressible Navier-Stokes equations (CNSE) are constructed on the basis of the kinetic equation for the Chapman-Enskog NS distribution function the macroscopic variables of which satisfy the CNSE. It is clarified from this approach that the inclusion of the collision effect in the numerical flux improves the accuracy of the scheme. Then, a practically higher order scheme for the CNSE is derived and the existing first order Boltzmann scheme for the CNSE Chou S.Y. and Baganoff D., Journal of Comput. Phys. 130, 217-230 (1997) is recovered as its simplified version. The numerical computation is carried out for the CNSE derived from the BGK equation. Comparisons are made with the standard solutions for the CNSE, the results of Chou-Baganoff scheme, and the BGK solutions for small Knudsen numbers.

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Document Details

Document Type
Technical Report
Publication Date
Jul 09, 2000
Accession Number
ADA400656

Entities

People

  • Taku Ohwada

Organizations

  • Kyoto University

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Boltzmann Equation
  • Boundary Layer
  • Boundary Value Problems
  • Cauchy Problem
  • Coefficients
  • Collisions
  • Computational Fluid Dynamics
  • Computations
  • Distribution Functions
  • Equations
  • Flow
  • Gas Flow
  • Integral Equations
  • Knudsen Number
  • Navier Stokes Equations
  • Standards

Readers

  • Canadian European Scientific Immigration and Epilepsy Clearance Studies
  • Fluid Dynamics.