Steady and unsteady incompressible flow in a double driven cavity using the artificial compressibility (AC)-based characteristic-based split (CBS) scheme

• Published in: International journal for numerical methods in engineering Vol. 63; no. 3; pp. 380 - 397
• Main Authors: Nithiarasu, P., Liu, C.-B.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 21.05.2005; Wiley
• Subjects: CBS scheme; Computational techniques; double driven cavity; dual time stepping; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); General theory; incompressible flow; Mathematical methods in physics; matrix free method; Physics; Method of characteristics; matrix free method; Transient response; Compressibility; Turbulent flow; Reynolds number; Steady flow; Step method; Data structures; Unsteady flow; Cavity flow; Steady state; dual time stepping; Cavities; Incompressible flow; double driven cavity; CBS scheme; Matrix method; Incompressible fluid; Mesh generation
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.1280

In this paper, the explicit characteristic‐based split (CBS) scheme has been employed to solve both steady and unsteady flows inside a non‐rectangular double driven cavity. This problem is recently suggested as a benchmark problem for incompressible flows. Both unstructured and structured meshes have been employed in the present study to make sure that the predicted results are as close to reality as possible. The results obtained show the existence of steady state at lower Reynolds numbers (⩽1000) and transient states at higher Reynolds numbers. The flow approaches a turbulent state as the Reynolds number is increased to 10 000. Copyright © 2005 John Wiley & Sons, Ltd.