A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics

Kadioglu S. Y., Klein R., Minion M. L.

JOURNAL OF COMPUTATIONAL PHYSICS, vol.227, no.3, pp.2012-2043, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 227 Issue: 3
  • Publication Date: 2008
  • Doi Number: 10.1016/j.jcp.2007.10.008
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2012-2043
  • Istanbul Technical University Affiliated: Yes


A fourth-order numerical method for the zero-Mach-number limit of the equations for compressible flow is presented. The method is formed by discretizing a new auxiliary variable formulation of the conservation equations, which is a variable density analog to the impulse or gauge formulation of the incompressible Euler equations. An auxiliary variable projection method is applied to this formulation, and accuracy is achieved by combining a fourth-order finite-volume spatial discretization with a fourth-order temporal scheme based on spectral deferred corrections. Numerical results are included which demonstrate fourth-order spatial and temporal accuracy for non-trivial flows in simple geometries. (C) 2007 Elsevier Inc. All rights reserved.