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Convergence Study of Multigrid Method for K-$\omega$ Turbulence Equations  

Park Soo Hvung (한국과학기술원 기계공학과)
Sung Chun-ho (KISTI 슈퍼컴퓨터센터)
Kwon Jang Hyuk (한국과학기술원 기계공학과)
Lee Seungsoo (국방과학연구소)
Publication Information
Journal of computational fluids engineering / v.7, no.4, 2002 , pp. 19-27 More about this Journal
Abstract
An efficient implicit multigrid method is presented for the Navier-Stokes and k-ω turbulence equations. Freezing and limiting strategies are applied to improve the robustness and convergence of the multigrid method. The eddy viscosity and strongly nonlinear production terms of turbulence are frozen in the coarser grids by passing down the values without update of them. The turbulence equations together with the Navier-Stokes equations, however, are consecutively solved on the coarser grids in a loosely coupled fashion. A simple limit for k is also introduced to circumvent slow-down of convergence. Numerical results for the unseparated and separated transonic airfoil flows show that all computations converge well without any robustness problem and the computing time is reduced to a factor of about 3 by the present multigrid method.
Keywords
Multigrid; k-w turbulence equations; DADI;
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