Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Characteristics of Upwind Schemes for Preconditioned Navier-Stokes Equations

예조건화된 Navier-Stokes 방정식에서의 풍상차분법의 수치특성

  • 길재흥 (아주대학교 대학원 기계공학과) ;
  • 이두환 (아주대학교 대학원 기계공학과) ;
  • 손덕영 (아주대학교 대학원 기계공학과) ;
  • 최윤호 (한국과학기술원 항공우주공학) ;
  • 권장혁 (인하대학교 기계항공공학부) ;
  • 이승수 (아주대학교 기계공학부)
  • Published : 2003.08.01
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Abstract

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.

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References

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