Finite element approximation of the modified Boussinesq equations using a stabilized formulation

被引：20

作者：

Codina, Ramon ^{[1
]}

Gonzalez-Ondina, Jose M. ^{[2
]}

Diaz-Hernandez, Gabriel ^{[2
]}

Principe, Javier ^{[1
]}

机构：

[1] Univ Politecn Cataluna, CIMNE, ES-08034 Barcelona, Spain

[2] Univ Cantabria, Inst Hidraul Ambiental IH Cantabria, E-39005 Santander, Spain

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2008年 / 57卷 / 09期

关键词：

non-linear waves; Boussinesq equations; mixed interpolations; stabilized finite elements;

D O I：

10.1002/fld.1718

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this work, we present a finite element model to approximate the modified Boussinesq equations. The objective is to deal with the major problem associated with this system of equations, namely, the need to use stable velocity-depth interpolations, which can be overcome by the use of a stabilization technique. The one described in this paper is based on the splitting of the unknowns into their finite element component and the remainder, which we call the subgrid scale. We also discuss the treatment of high-order derivatives of the mathematical model and describe the time integration scheme. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：1249 / 1268

页数：20

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