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

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2007年 / 225卷 / 01期

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

页码：13 / 19

页数：7

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