A Level Set Discontinuous Galerkin Method for Free Surface Flows

Jesper Grooss; Jan Hesthaven

doi:10.1016/j.cma.2006.06.020

A Level Set Discontinuous Galerkin Method for Free Surface Flows

Jesper Grooss
, Jan Hesthaven

Research output: Contribution to journal › Journal article › Research › peer-review

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.

Original language	English
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	195
Issue number	25-28
Pages (from-to)	3406-3429
ISSN	0045-7825
DOIs	https://doi.org/10.1016/j.cma.2006.06.020
Publication status	Published - 2006

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title = "A Level Set Discontinuous Galerkin Method for Free Surface Flows",

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.",

author = "Jesper Grooss and Jan Hesthaven",

year = "2006",

doi = "10.1016/j.cma.2006.06.020",

language = "English",

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journal = "Computer Methods in Applied Mechanics and Engineering",

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T1 - A Level Set Discontinuous Galerkin Method for Free Surface Flows

AU - Grooss, Jesper

AU - Hesthaven, Jan

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

U2 - 10.1016/j.cma.2006.06.020

DO - 10.1016/j.cma.2006.06.020

M3 - Journal article

SN - 0045-7825

VL - 195

SP - 3406

EP - 3429

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 25-28

ER -

A Level Set Discontinuous Galerkin Method for Free Surface Flows

Abstract

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