An application of the vorticity–vector potential method to laminar cube flow

✍ Scribed by Robin Raul; Peter S. Bernard; Frank T. Buckley Jr.

• Publisher: John Wiley and Sons
• Year: 1990
• Tongue: English
• Weight: 726 KB
• Volume: 10
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1650100803

✦ Synopsis

Three-dimensional incompressible laminar flow around a cube is investigated using the vorticity-vector potential formulation of the equations of motion. Numerical solutions to a semi-implicit finite difference approximation to the vorticity transport equation coupled to discrete Poisson equations for the scalar and vector potentials are obtained using an eight-colour SOR algorithm. Calculations are done at a range of Reynolds numbers from 10 to 100. The predicted drag and other flow characteristics are found to agree well with experimental results, including those from a cube drop experiment performed for the present study. KEY WORDS 3D Incompressible laminar flow cube Vorticity-vector potential formulation Finite difference Vorticity transport equation Poisson equations SOR algorithm