The capturing of free surfaces in incompressible multi-fluid flows

✍ Scribed by Dartzi Pan; Chih-Hao Chang

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 260 KB
• Volume: 33
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(20000530)33:2<203::aid-fld9>3.0.co;2-f

✦ Synopsis

By treating it as a contact discontinuity in the density field, a free surface between two immiscible fluids can be automatically 'captured' by the enforcement of conservation laws. A surface-capturing method of this kind requires no special tracking or fitting treatment for the free surface, thereby offering the advantage of algorithm simplicity over the surface-tracking or the surface-fitting method. A surfacecapturing method based on a new multi-fluid incompressible Navier -Stokes formulation is developed. It is applied to a variety of free-surface flows, including the Rayleigh -Taylor instability problem, the ship waves around a Wigley hull and a model bubble-rising problem to demonstrate the validity and versatility of the present method.