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The capturing of free surfaces in incompressible multi‐fluid flows
Author(s) -
Pan Dartzi,
Chang ChihHao
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(20000530)33:2<203::aid-fld9>3.0.co;2-f
Subject(s) - free surface , compressibility , discontinuity (linguistics) , rayleigh–taylor instability , surface (topology) , bubble , incompressible flow , mechanics , hull , instability , mathematics , classical mechanics , computer science , mathematical analysis , geometry , physics , engineering , marine engineering
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 surface‐capturing 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. Copyright © 2000 John Wiley & Sons, Ltd.