A spectral method for free surface flows of inviscid fluids

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In this paper, an efficient numerical method for unsteady free surface motions, with simple geometries, has been devised. Under the potential flow assumption, the governing equation of free surface hows becomes a Laplace equation, which is treated here by means of a series expansions of the velocity potential. The free surface is represented with a height function. The present method is applied to surface gravity waves to test the stability and accuracy of the method. To show the versatility of the method, a model for a dip formation is considered. (C) 1998 John Wiley & Sons, Ltd.
Publisher
WILEY-BLACKWELL
Issue Date
1998
Language
English
Article Type
Article
Keywords

RAYLEIGH-TAYLOR INSTABILITY; SELECTIVE WITHDRAWAL; GAS ENTRAINMENT; NUMERICAL SIMULATIONS; INTERFACIAL WAVES; STRATIFIED FLUID; SUBMERGED SOURCE; FRONT-TRACKING; WATER-WAVES; LINE SOURCE

Citation

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, v.28, no.6, pp.887 - 902

ISSN
0271-2091
DOI
10.1002/(SICI)1097-0363(19981030)28:6<887::AID-FLD743>3.0.CO;2-G
URI
http://hdl.handle.net/10203/69145
Appears in Collection
PH-Journal Papers(저널논문)
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