Strongly-coupled multigrid method for 3-D incompressible flows using near-wall turbulence closures

F. B. Lin, F. Sotiropoulos

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42 Scopus citations

Abstract

An efficient artificial compressibility algorithm is developed for solving the threedimensional 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 semicoarsening 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.

Original languageEnglish (US)
Pages (from-to)314-324
Number of pages11
JournalJournal of Fluids Engineering, Transactions of the ASME
Volume119
Issue number2
DOIs
StatePublished - Jun 1997

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