Discontinuous Galerkin finite element method for shallow two-phase flows

被引：9
|
作者：
Rhebergen, S. [1 ]
Bokhove, O. [1 ]
van der Vegt, J. J. W. [1 ]
机构：
[1] Univ Twente, Dept Appl Math, NL-7500 AE Enschede, Netherlands
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2009年 / 198卷 / 5-8期
关键词：
Discontinuous Galerkin finite element methods; Multiphase flows; Nonconservative products; Slope limiter; Discontinuity detector; PARTIAL-DIFFERENTIAL-EQUATIONS; FLUIDIZED GRANULAR MASSES; NONCONSERVATIVE PRODUCTS; HYPERBOLIC SYSTEMS; CONSERVATION-LAWS; SOURCE TERMS; WATER FLOWS; AVALANCHE; TERRAIN; DEBRIS;
D O I：
10.1016/j.cma.2008.10.019
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We present a discontinuous Galerkin finite element method for a depth-averaged two-phase flow model. This model contains nonconservative products for which we developed a discontinuous Galerkin finite element formulation in Rhebergen et al. [S. Rhebergen, O. Bokhove, J.J.W. van der Vegt, Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations, J. Comput. Phys. 227 (2008) 1887]. The goal is to qualitatively validate the model against a laboratory experiment and to show the abilities of the model to capture physical phenomena. To be able to perform these test cases, a WENO slope limiter is investigated in conjunction with a discontinuity detector to detect regions where spurious oscillations appear. (C) 2008 Elsevier B.V. All rights reserved.
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页码：819 / 830
页数：12
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