Abstract
The paper reports a study on the performance of variants of the Full Approximation Multigrid Scheme in the computation of complex recirculating flows, both laminar and turbulent. The MG variants are implemented into a three-dimensional, non-orthogonal, collocated finite-volume procedure in which the Cartesian velocity components and the pressure are determined via a pressure-correction algorithm. Convection is approximated by three methods: a first-order hybrid scheme combining the central and upwind approximations, the quadratic upstream-weighted QUICK scheme and the TVD-type MUSCL scheme. Three turbulence models are considered: a low-Re and a high-Re variant of the two-equation k-ε eddy-viscosity model, and a Reynolds-stress-transport closure, all implemented within a non-orthogonal grid environment. Multigrid performance is investigated for four cases: a laminar flow in a 2D plane constriction, a laminar flow in a 3D skewed lid-driven cavity, a turbulent flow in a constricted pipe, computed with two eddy-viscosity models, and a turbulent flow behind a 2D backward-facing step, computed with a Reynolds-stress-transport model within a strongly distorted non-orthogonal mesh. Convergence acceleration is shown to be significant in turbulent conditions but not of the same order as that for laminar flows.
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Lien, FS., Leschziner, M.A. (1991). Multigrid Convergence Acceleration for Complex Flow Including Turbulence. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods III. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 98. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5712-3_20
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DOI: https://doi.org/10.1007/978-3-0348-5712-3_20
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