Finite volume formulation of compact upwind and central schemes with artificial selective damping

被引：4

作者：

Broeckhoven, T ^{[1
]}

Smirnov, S ^{[1
]}

Ramboer, J ^{[1
]}

Lacor, C ^{[1
]}

机构：

[1] Free Univ Brussels, Dept Fluid Mech, B-1050 Brussels, Belgium

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2004年 / 21卷 / 03期

关键词：

compact schemes; artificial selective damping; non-uniform meshes;

D O I：

10.1007/s10915-004-1321-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper describes the use of compact upwind and compact central schemes in a Finite Volume formulation with an extension towards arbitrary meshes. The different schemes are analyzed and tested on several numerical experiments. A new formulation of artificial selective damping that is applicable on non-uniform Cartesian meshes is presented. Results are shown for a 1D advection equation, a 2D rotating Gaussian pulse and a subsonic inviscid vortical flow on uniform and non-uniform meshes and for a non-linear acoustic pulse.

引用

页码：341 / 367

页数：27

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