A stable and conservative high order multi-block method for the compressible Navier-Stokes equations

  • Authors:

  • Jan Nordström;Jing Gong;Edwin van der Weide;Magnus Svärd

  • Affiliations:

  • School of Mechanical, Industrial and Aeronautical Engineering, University of the Witvatersrand, PO WITS 2050, Johannesburg, South Africa and Department of Aeronautics and Systems Integration, FOI, ...;Department of Information Technology, Scientific Computing, Uppsala University, SE-751 05 Uppsala, Sweden;Faculty of Engineering Technology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;Center of Mathematics for Applications, University of Oslo, P.B. 1053, Blindern, N-0316 Oslo, Norway

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2009

Quantified Score

Hi-index 31.52

Visualization

Abstract

A stable and conservative high order multi-block method for the time-dependent compressible Navier-Stokes equations has been developed. Stability and conservation are proved using summation-by-parts operators, weak interface conditions and the energy method. This development makes it possible to exploit the efficiency of the high order finite difference method for non-trivial geometries. The computational results corroborate the theoretical analysis.