Open AccessAn Adaptive Moving-Mesh Relaxation Scheme for Compressible Two-Phase Barotropic Flow With Cavitation
Author(s) -
KehMing Shyue
Publication year - 2011
Publication title -
asme-jsme-ksme 2011 joint fluids engineering conference: volume 1, symposia – parts a, b, c, and d
Language(s) - English
Resource type - Conference proceedings
DOI - 10.1115/ajk2011-04009
Subject(s) - barotropic fluid , curvilinear coordinates , relaxation (psychology) , grid , polygon mesh , computer science , coordinate system , compressibility , flow (mathematics) , mesh generation , algorithm , mathematics , mechanics , physics , geometry , finite element method , computer vision , psychology , social psychology , thermodynamics
We describe a simple relaxation scheme for the efficient numerical resolution of compressible two-phase barotropic flow with and without cavitation on moving meshes. The algorithm uses a curvilinear-coordinate formulation of the relaxation model proposed by Saurel et al. (J. Comput. Phys. 228 (2009) 1678–1712) as the basis, and employs a wave-propagation based relaxed scheme to solve the model system on a mapped grid that is constructed by a conventional mesh-redistribution procedure for better solution adaptation. Sample numerical results in both one and two space dimensions are present that show the feasibility of the proposed method for practical problems.Copyright © 2011 by ASME
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