English

Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows

Numerical Analysis 2017-07-06 v2 Analysis of PDEs Classical Physics

Abstract

We study the incompressible limit of a pressure correction MAC scheme [3] for the unstationary compressible barotropic Navier-Stokes equations. Provided the initial data are well-prepared, the solution of the numerical scheme converges, as the Mach number tends to zero, towards the solution of the classical pressure correction inf-sup stable MAC scheme for the incompressible Navier-Stokes equations.

Keywords

Cite

@article{arxiv.1703.01231,
  title  = {Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows},
  author = {Raphaele Herbin and J. -C. Latché and K. Saleh},
  journal= {arXiv preprint arXiv:1703.01231},
  year   = {2017}
}

Comments

Finite Volumes for Complexe Applicxations 8, Jun 2017, Lille, France