期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
卷 49, 期 10, 页码 1111-1146出版社
WILEY
DOI: 10.1002/fld.1041
关键词
quasi-monotone semi-Lagrangian schemes; level set method; characteristics; finite elements; Navier-Stokes; free surface
In this paper, we formulate a level set method in the framework of finite elements-semi-Lagrangian methods to compute the solution of the incompressible Navier-Stokes equations with free surface. In our formulation, we use a quasi-monotone semi-Lagrangian scheme, which is both unconditionally stable and essentially non oscillatory, to compute the advective terms in the Navier-Stokes equations, the transport equation and the equation of the reinitialization stage for the level set function. The method we propose is quite robust and flexible with regard to the mesh and the geometry of the domain, as well as the magnitude of the Reynolds number. We illustrate the performance of the method in several examples, which range from a benchmark problem to test the Volume conservation property of the method to the flow past a NACA0012 foil at high Reynolds number. Copyright (c) 2005 John Wiley & Sons, Ltd.
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