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A sharp surface tension modeling method for two‐phase incompressible interfacial flows
Author(s) -
Wang Zhaoyuan,
Tong Albert Y.
Publication year - 2009
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.2166
Subject(s) - volume of fluid method , surface tension , compressibility , mechanics , jump , level set method , pressure correction method , incompressible flow , grid , capillary action , phase (matter) , spurious relationship , mathematics , physics , geometry , flow (mathematics) , computer science , thermodynamics , statistics , quantum mechanics , segmentation , artificial intelligence , image segmentation
A surface tension implementation algorithm for two‐phase incompressible interfacial flows is presented in this study. The surface tension effect is treated as a jump condition at the interface and incorporated into the Navier–Stokes equation via a capillary pressure gradient. The interface is tracked by a coupled level set and volume‐of‐fluid (CLSVOF) method based on the finite‐volume formulation on a fixed Eulerian grid. It has been shown in a stationary benchmark test the spurious currents are greatly reduced and the sharp pressure jump across the interface is well preserved. Numerical instabilities caused by the sharp treatment on a fixed grid are avoided. Several dynamic tests are performed to further validate the accuracy and versatility of the present method, the results of which are in good agreement with data reported in the literature. Copyright © 2009 John Wiley & Sons, Ltd.