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http://dx.doi.org/10.5139/JKSAS.2008.36.2.115

Effects of Characteristic Condition Number on Convergence in Calculating Low Mach Number Flows, I : Euler Equations  

Lee, Sang-Hyeon (울산대학교 항공우주공학과)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.36, no.2, 2008 , pp. 115-122 More about this Journal
Abstract
The effects of characteristic condition number on the convergence of preconditioned Euler equations were investigated. The two-dimensional preconditioned Euler equations adopting Choi and Merkle's preconditioning and the temperature preconditioning are considered. Preconditioned Roe's FDS scheme was adopted for spatial discretization and preconditioned LU-SGS scheme was used for time integration. It is shown that the convergence characteristics of the Euler equations are strongly affected by the characteristic condition number, and there is an optimal characteristic condition number for a problem. The optimal characteristic condition numbers for the Choi and Merkle's preconditioning and temperature preconditioning are different.
Keywords
Convergence Characteristics; Preconditioned Euler Equations; Characteristic Condition number;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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