Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm

• Published in: International journal for numerical methods in fluids Vol. 68; no. 7; pp. 856 - 871
• Main Authors: Guermond, J. L., Minev, P. D.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 10.03.2012; Wiley
• Subjects: Computational methods in fluid dynamics; direction splitting; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); incompressible flow; Laminar flows; Laminar flows in cavities; lid-driven cavity; MAC stencil; parallel algorithm; Physics; three dimensional; unsteady flow; three dimensional; Computational fluid dynamics; incompressible flow; Digital simulation; parallel algorithm; direction splitting; Velocity distribution; lid-driven cavity; unsteady flow; Parallel algorithms; Cavity flow; Moving wall; Three dimensional flow; MAC stencil; Modelling; Incompressible fluid; Mesh generation
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.2583

SUMMARY The purpose of this paper is to validate a new highly parallelizable direction splitting algorithm. The parallelization capabilities of this algorithm are illustrated by providing a highly accurate solution for the start‐up flow in a three‐dimensional impulsively started lid‐driven cavity of aspect ratio 1 × 1 × 2 at Reynolds numbers 1000 and 5000. The computations are done in parallel (up to 1024 processors) on adapted grids of up to 2 billion nodes in three space dimensions. Velocity profiles are given at dimensionless times t = 4, 8, and 12; at least four digits are expected to be correct at Re = 1000. Copyright © 2011 John Wiley & Sons, Ltd.