A level set discontinuous Galerkin method for free surface flows

被引：40

作者：

Grooss, J.

Hesthaven, J. S. ^{[1
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[2] Tech Univ Denmark, DK-2800 Lyngby, Denmark

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 25-28期

基金：

美国国家科学基金会;

关键词：

level set; discontinuous Galerkin; free surface flow; spectral; high order; incompressible Navier Stokes; fluid-structure; interaction; surface tension;

D O I：

10.1016/j.cma.2005.06.020

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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 level set. 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 level set and its reinitialization is discussed and several numerical tests confirm the robustness and versatility of the proposed scheme. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：3406 / 3429

页数：24

共 23 条

[1]

[Anonymous], NUMERICAL SIMULATION

[2] Unified analysis of discontinuous Galerkin methods for elliptic problems [J].