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예조건화된 압축성유동 수치기법에서의 풍상차분법의 수치특성 검토
길재흥(J. H. Gill),이두환(D. H. Lee),최윤호(Y. H. Choi),권장혁(J. H. Kwon),이승수(S. S. Lee) 한국전산유체공학회 2002 한국전산유체공학회 학술대회논문집 Vol.2002 No.-
Studies of the numerical characteristics of implicit upwind. schemes, such as upwind ADI, Line Gauss-Seidel(LGS) and Point Gauss-Seidel(LU) algorithms, for preconditioned Navier-Stokes equations are performed. All the algorithms are expressed in approximate factorization form and Van Neumann stability analysis and convergence studies are made. Preconditioning is applied for efficient convergence at low Mach numbers and low Reynolds numbers. For high aspect ratio computations, the ADI and LGS algorithms show efficient and uniform convergence 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, shows serious deterioration in convergence rate as the grid aspect ratio increases. Computations for practical applications also verify these results.