From multi- to single-grid CFD on massively parallel computers: Numerical experiments on lid-driven flow in a cube using pressure–velocity coupled formulation

0045-7930/$ see front matter 2010 Elsevier Ltd. A doi:10.1016/j.compfluid.2010.08.009 ⇑ Corresponding author. E-mail address: [email protected] (Yu. Feldma A parallel implementation of a fully pressure–velocity coupled multigrid solver based on analytical solution accelerated coupled line Gauss Seidel (ASA-CLGS) smoother with grid partitioning is carried out. The parallelized algorithm is characterized by an enhanced scalability that results from a formulation enabling an intermediate analytical solution for the entire row (column) of control volumes. General strategies of applying singleor multigrid approach depending on flow characteristics are discussed. Performance of the parallelized algorithm is studied for up to 2048 processors. The developed approach is applied to analysis of a time-dependent three-dimensional incompressible lid-driven cavity flow. The steady state results of benchmark quality are reported for Re = 10, 1.5 10 and 1.9 10. A new benchmark case of a fully 3D flow in a cubic cavity driven by the lid moving at 45 relatively to its lateral boundaries is proposed and the corresponding data is reported. 2010 Elsevier Ltd. All rights reserved.