4.7 Article

A conservative interface method for compressible flows

Journal

JOURNAL OF COMPUTATIONAL PHYSICS
Volume 219, Issue 2, Pages 553-578

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2006.04.001

Keywords

compressible flow; multi-fluid problem; complex boundary; level set function

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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. (c) 2006 Elsevier Inc. All rights reserved.

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