Three Mach-uniform algorithms

  • Authors:
  • Krista Nerinckx;Jan Vierendeels;Erik Dick

  • Affiliations:
  • Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Ghent, Belgium;Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Ghent, Belgium;Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Ghent, Belgium

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

We focus on the construction of Mach-uniform algorithms. The basic idea is to remove the severe time step restrictions for low speed flows, by treating the acoustic terms implicitly. The way to solve the obtained semi-implicit system can be chosen. Three different solution techniques are presented, varying between a fully coupled algorithm and a fully segregated pressure correction algorithm. We show that the number of time steps to reach steady state is comparable for the fully coupled as well as the fully segregated method. Therefore, the more segregation is introduced, the more efficient the calculation can be done.