Strongly-Coupled Multigrid Method for 3-D Incompressible Flows Using Near-Wall Turbulence Closures

[+] Author and Article Information
F. B. Lin

STT Technologies Inc., 231 Roundtree Dary Road, Woodbridge, Ontario L4L8B8 Canada

F. Sotiropoulos

School of Civil and Environmental Engineering, Georgia institute of Technology, Atlanta, GA 30332

J. Fluids Eng 119(2), 314-324 (Jun 01, 1997) (11 pages) doi:10.1115/1.2819136 History: Received September 26, 1995; Revised October 07, 1996; Online December 04, 2007


An efficient artificial compressibility algorithm is developed for solving the three-dimensional Reynolds-averaged Navier-Stokes equations in conjunction with the low-Reynolds number k-ω turbulence model (Wilcox, 1994). Two second-order accurate central-differencing schemes, with scalar and matrix-valued artificial dissipation, respectively, and a third-order accurate flux-difference splitting upwind scheme are implemented for discretizing the convective terms. The discrete equations are integrated in time using a Runge-Kutta algorithm enhanced with local time stepping, implicit residual smoothing, and V-cycle multigrid acceleration with full- and semi-coarsening capabilities. Both loosely and strongly-coupled strategies for solving the turbulence closure equations are developed and their relative efficiency is evaluated. Calculations are carried out for turbulent flow through a strongly-curved 180 deg pipe bend discretized with fine, highly-stretched and skewed meshes. It is shown that the strongly-coupled multigrid algorithm, with semi-coarsening in the transverse plane, is an efficient approach for simulating flows of practical interest with advanced near-wall turbulence closures.

Copyright © 1997 by The American Society of Mechanical Engineers
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