A dual-time central difference finite volume scheme for interface capturing on unstructured meshes

Henri Gough, AL Gaitonde, DP Jones

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

Abstract

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
Translated title of the contributionA dual-time central difference finite volume scheme for interface capturing on unstructured meshes
Original languageEnglish
Pages (from-to)149 - 175
Number of pages27
JournalInternational Journal for Numerical Methods in Fluids
Volume60
Issue number2
DOIs
Publication statusPublished - 2009

Bibliographical note

Publisher: John Wiley & Sons
Other: First published on-line 2008

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