A Level Set Discontinuous Galerkin Method for Free Surface Flows 
Jesper Grooss, Jan S. Hesthaven

Abstract  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. 
Type  Journal paper [With referee] 
Journal  Computer Methods in Applied Mechanics and Engineering 
Year  2006 Vol. 195 No. 2528 pp. 34063429 
BibTeX data  [bibtex] 
IMM Group(s)  Scientific Computing 