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Convergence Characteristics of Preconditioned Euler Equations  

이상현 (울산대학교 수송시스템공학부)
Publication Information
Journal of the Korean Society of Propulsion Engineers / v.8, no.1, 2004 , pp. 27-37 More about this Journal
Abstract
The convergence characteristics of preconditioned Euler equations were studied. A perturbation analysis was conducted to understand the behavior of the preconditioned Euler equations. Various speed flows in a two-dimensional channel with a 10％ circular arc in the middle of the channel were calculated. Roe's FDS scheme was used for spatial discretization and the LU-SGS scheme was used for time integration. It is shown that the convergence characteristics of pressure and velocity were maintained regardless of the Mach numbers but that the convergence characteristics of temperature were strongly related to the Mach number and became worse as the Mach number decreased. The perturbation analysis well explained the trend of the convergence characteristics and showed that the convergence characteristics are strongly related with the behavior o( the Preconditioning matrix.
Keywords
Preconditioning; Convergence Characteristics; Euler Equations; Peturbation Analysis; Roe's FDS; LV-SGS;
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