Multigrid Computation of Incompressible Flows Using Two-Equation Turbulence Models: Part I—Numerical Method

[+] Author and Article Information
X. Zheng, C. Liao, C. Liu

Department of Mathematics and Statistics, Louisiana Tech University, Ruston, LA 71272

C. H. Sung, T. T. Huang

David Taylor Model Basin, Carderock Division, NSWC, Bethesda, MD 20084

J. Fluids Eng 119(4), 893-899 (Dec 01, 1997) (7 pages) doi:10.1115/1.2819513 History: Received May 30, 1996; Revised July 21, 1997; Online January 22, 2008


A highly efficient numerical approach based on multigrid and preconditioning methods is developed for modeling 3-D incompressible turbulent flows. The incompressible Reynolds-averaged Navier-Stokes equations are written in pseudo-compressibility from, then a preconditioning method is used to reduce the wave speed disparity. The k-ω and k-ε turbulence models are used to estimate the effects of turbulence. The model equations are solved together with the N-S equations in a strongly-coupled way, and all the acceleration techniques originally developed for N-S equations are also used for the turbulence model equations. A point-implicit technique is developed to improve the efficiency of the solution of the turbulence model equations.

Copyright © 1997 by The American Society of Mechanical Engineers
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