Effects of condition number on preconditioning for low Mach number flows

被引：6
|
作者：
Lee, Sang-Hyeon [1 ]
机构：
[1] Univ Ulsan, Dept Aerosp Eng, Ulsan 680749, South Korea
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2012年 / 231卷 / 10期
关键词：
Choi-Merkle preconditioning; Condition number; Convergence characteristics; Solution quality; Preconditioned Roe FDS; BOUNDARY-CONDITIONS; CIRCULAR-CYLINDER; IMPLICIT METHOD; FLUID-DYNAMICS; UPWIND SCHEMES; EQUATIONS; SPEEDS; BEHAVIOR; DESIGN; LIMIT;
D O I：
10.1016/j.jcp.2012.02.004
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The effects of the condition number on convergence characteristics and solution quality for the preconditioned Navier-Stokes equations are studied. A general approach to the construction of preconditioning parameters is proposed to account for the effects of the condition number on these parameters. To verify this technique, laminar flows past a circular cylinder at Reynolds numbers of 20 and 40, and laminar flows past a NACA0012 airfoil at Reynolds numbers of 2500 and 5000 are solved. It is shown that the condition number has effects on the convergence characteristics and solution qualities, and also that a condition number exists that optimizes the convergence characteristics and solution quality. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：4001 / 4014
页数：14
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