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Journal article

A Level Set Discontinuous Galerkin Method for Free Surface Flows

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Department of Informatics and Mathematical Modeling, Technical University of Denmark1

We present a discontinuous Galerkin method on a fully unstructured grid for the modeling of unsteady incompressible fluid flows with free surfaces. The surface is modeled by embedding and represented by a levelset. We discuss the discretization of the flow equations and the level set equation as well a various ways of advancing the equations in time using velocity projection techniques.

The efficacy of the method for the representation of the levelset and its reinitialization is discussed and several numerical tests confirm the robustness and versatility of the proposed scheme.

Language: English
Year: 2006
Pages: 3406-3429
ISSN: 18792138 and 00457825
Types: Journal article
DOI: 10.1016/j.cma.2006.06.020

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