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A dual‐time central difference finite volume scheme for interface capturing on unstructured meshes
Author(s) -
Gough H.,
Gaitonde Ann L.,
Jones D. P.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1877
Subject(s) - polygon mesh , interface (matter) , finite volume method , divergence (linguistics) , computer science , scheme (mathematics) , current (fluid) , volume (thermodynamics) , mathematics , finite difference , algorithm , computational science , hydrostatic equilibrium , mathematical optimization , mechanics , mathematical analysis , engineering , parallel computing , computer graphics (images) , physics , linguistics , philosophy , bubble , quantum mechanics , maximum bubble pressure method , electrical engineering
This paper describes a central difference scheme for the prediction of flows with an interface. The interface is captured rather than tracked and the key to the current approach is a correction to the hydrostatic pressure. The correction enables the scheme to evaluate pressures at cell faces in a consistent manner so that the source term in the equations is correctly balanced at the interface and on non‐equispaced meshes. This prevents the development of large errors in the solution, which can lead to the divergence of the numerical scheme. The current approach allows interface flows to be calculated by a simple modification of existing central difference codes. Results for a number of test cases are presented, with comparisons made with both experimental data and other numerical solutions. Copyright © 2008 John Wiley & Sons, Ltd.