THE NO-SLIP BOUNDARY CONDITION IN FINITE DIFFERENCE APPROXIMATIONS

✍ Scribed by HUAXIONG HUANG; BRIAN R. SEYMOUR

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 890 KB
• Volume: 22
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19960430)22:8<713::aid-fld374>3.0.co;2-k

✦ Synopsis

A finite difference method for the Navier-Stokes equations in vorticity+&eamfmction formulation is proposed to resolve the difficulty of the lack of a vorticity boundary condition at a no-slip boundary. It is particularly suitable for flows in regions with complicated geometries. Convergence with second-order accuracy in vorticity and velocity is established. In numerical experiments the convergence rates agree with theoxetical predictions. Test results for the two-dimensional driven cavity problem and for the flow in expansion and contraction channels are given.