A primal formulation for the Helmholtz decomposition

被引:5
作者
Ahusborde, Etienne [1 ]
Azaiez, Mejdi [1 ]
Caltagirone, Jean-Paul [1 ]
机构
[1] Ecole Natl Super Chim & Phys Bordeaux, CNRS, UMR 5808, Lab TREFLE, F-33607 Pessac, France
关键词
grad(div) operator; stable approximation; Helmholtz decomposition;
D O I
10.1016/j.jcp.2007.04.002
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In 1999, Jean-Paul Caltagirone and Jerome Breil have developed in their paper [Caltagirone, J. Breil, Sur une methode de projection vectorielle pour la resolution des equations de Navier-Stokes, C.R. Acad. Sci. Paris 327(Serie II b) (1999) 1179-1184] a new method to compute a divergence-free velocity. They have used the grad(div) operator to extract the solenoidal part of a given vector field. In this contribution we explain how this method can be considered as a real Helmholtz decomposition and we present a stable approximation in the framework of spectral methods. Numerical results are presented to illustrate the efficiency of this approach. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:13 / 19
页数:7
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