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Development of new finite volume schemes on unstructured triangular grid for simulating the gas–liquid two‐phase flow
Author(s) -
Zhou Wen,
Ouyang Jie,
Zhang Lin,
Su Jin,
Wang Xiaodong,
Yang Binxin
Publication year - 2015
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.4174
Subject(s) - finite volume method , unstructured grid , interpolation (computer graphics) , benchmark (surveying) , mathematics , finite element method , grid , level set method , signed distance function , compressibility , control volume , regular grid , flow (mathematics) , mesh generation , boundary (topology) , geometry , mathematical analysis , computer science , mechanics , algorithm , physics , geology , animation , computer graphics (images) , geodesy , segmentation , artificial intelligence , image segmentation , thermodynamics
Summary This paper presents a coupled finite volume inner doubly iterative efficient algorithm for linked equations (IDEAL) with level set method to simulate the incompressible gas–liquid two‐phase flows with moving interfaces on unstructured triangular grid. The finite volume IDEAL method on a collocated grid is employed to solve the incompressible two‐phase Navier–Stokes equations, and the level set method is used to capture the moving interfaces. For the sake of mass conservation, an effective second‐order accurate finite volume scheme is developed to solve the level set equation on triangular grid, which can be implemented much easier than the classical high‐order level set solvers. In this scheme, the value of level set function on the boundary of control volume is approximated using a linear combination of a high‐order Larangian interpolation and a second‐order upwind interpolation. By the rotating slotted disk and stretching and shrinking of a circular fluid element benchmark cases, the mass conservation and accuracy of the new scheme is verified. Then the coupled method is applied to two‐phase flows, including a 2D bubble rising problem and a 2D dam breaking problem. The computational results agree well with those reported in literatures and experimental data. Copyright © 2015 John Wiley & Sons, Ltd.