BGK-based schemes for the simulation of compressible flow

K. Xu, C. Kim, Luigi Martinelli, A. Jameson

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

Following van Leer's MUSCL idea, a numerical scheme can be regarded as consisting of two key steps: a reconstruction step followed by a gas evolution step. We present a gas-kinetic method based on the collisional BGK model which provides an alternative to Riemann solvers for the gas evolution step. An advanced BGK-scheme is derived under quite general assumptions on the initial conditions. The new formulation uses interpolation of the characteristic variables in the reconstruction step and a BGK-type flow solver in the gas evolution step. The scheme satisfies both an entropy condition and a positivity condition, which guarantees a positive density and temperature at the cell interface during a complete time step. Numerical results for one-dimensional and two-dimensional test cases are presented to show the accuracy and robustness of the proposed approach.

Original languageEnglish (US)
Pages (from-to)213-235
Number of pages23
JournalInternational Journal of Computational Fluid Dynamics
Volume7
Issue number3
DOIs
StatePublished - Jan 1 1996

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Aerospace Engineering
  • Condensed Matter Physics
  • Energy Engineering and Power Technology
  • Mechanics of Materials
  • Mechanical Engineering

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