An Embedded Boundary Volume of Fluid Method for Free Surface Flows in Irregular Geometries
نویسندگان
چکیده
In this paper we will present a numerical method for computing incompressible free surface ows in irregular ge ometries in three dimensions The approach we are taking is based on three ideas The rst is the second order ac curate projection method of Bell Colella and Glaz Bell et al for computing nite di erence approximations to the incompressible ow equations on rectangular grids The second is the Cartesian grid embedded boundary al gorithms of Johansen and Colella Johansen and Colella for computing consistent discretizations of conserva tion laws in irregular geometries The third is the use of a second order accurate volume of uid method for represent ing the free surface including the use of a level set method for computing normals and surface tension GOVERNING EQUATIONS We are solving the incompressible Navier Stokes equa tions with a given stress tensor Setting density to unity the momentum equation becomes
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