A conservative interface method for compressible flows

  • Authors:

  • X. Y. Hu;B. C. Khoo;N. A. Adams;F. L. Huang

  • Affiliations:

  • Lehrstuhl für Aerodynamik, Technische Universität München, 85747 Garching, Germany;Department of Mechanical Engineering, National University of Singapore, 117576 Singapore, Singapore;Lehrstuhl für Aerodynamik, Technische Universität München, 85747 Garching, Germany;National Key Laboratory for Prevention and Control of Explosive Disasters, Beijing Institute of Technology, 100080 Beijing, China

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2006

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Abstract

In this work, we present a conservative interface method for both multi-fluid and complex boundary problems, in which the standard finite volume scheme on Cartesian grids is modified by considering computational cells being cut by interface. While the discretized governing equations are updated conservatively, the method treats the topological changes naturally by combining interface description and geometric operations with a level set technique. Extensive tests in 1D are carried out, and 2D examples suggest that the present scheme is able to handle multi-fluid and complex (static or moving) boundary problems in a straightforward way with good robustness and accuracy.