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예조건화된 Navier-Stokes 방정식에서의 풍상차분법의 수치특성
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  • 예조건화된 Navier-Stokes 방정식에서의 풍상차분법의 수치특성
저자명
길재흥,이두환,손덕영,최윤호,권장혁,이승수,Gill. Jae-Heung,Lee. Du-Hwan,Sohn. Duk-Young,Choi. Yun-Ho,Kwon. Jang-Hyuk,Lee. Seung-Soo
간행물명
大韓機械學會論文集. Transactions of the Korean society of mechanical engineers. B. B
권/호정보
2003년|27권 8호|pp.1122-1133 (12 pages)
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

Numerical characteristics of implicit upwind schemes, such as upwind ADI, line Gauss-Seidel (LGS) and point Gauss-Seidel (LU) algorithms, for Navier-Stokes equations have been investigated. Time-derivative preconditioning method was applied for efficient convergence at low Mach/Reynolds number regime as well as at large grid aspect ratios. All the algorithms were expressed in approximate factorization form and von Neumann stability analysis was performed to identify stability characteristics of the above algorithms in the presence of high grid aspect ratios. Stability analysis showed that for high aspect ratio computations, the ADI and LGS algorithms showed efficient damping effect up to moderate aspect ratio if we adopt viscous preconditioning based on min-CFL/max-VNN time-step definition. The LU algorithm, on the other hand, showed serious deterioration in stability characteristics as the grid aspect ratio increases. Computations for several practical applications also verified these results.