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http://dx.doi.org/10.5139/JKSAS.2004.32.3.001

Convergence Study of the Multigrid Navier-Stokes Simulation: I. Upwind Schemes  

Kim, Yoon-Sik (한국과학기술정보연구원 슈퍼컴퓨팅센터)
Kwon, Jang-Hyuk (한국과학기술원 항공우주공학)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.32, no.3, 2004 , pp. 1-9 More about this Journal
Abstract
This study concentrates on the upwind schemes for convergence acceleration of the multigrid method for the Navier-Stokes equations. Comparative study of the upwind schemes in the Fourier space has been performed to identify why the second-order upwind scheme with enlarged stencil can be preconditioned better than the classical second-order upwind scheme. The full-coarsening multigrid method with implicit preconditioned multistage scheme has been implemented for verification of analysis. Numerical simulations on the inviscid and turbulent flows with the Spalart-Allmaras turbulent model have been performed. The results showed consistent trend with the analysis.
Keywords
Multigrid; Convergence; Upwind schemes; Turbulent flow;
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