Premium
A spectral method for free surface flows of inviscid fluids
Author(s) -
Kim MinJoon,
Moon HieTae,
Lee YongBum,
Choi SeokKi,
Kim YongKyun,
Nam HoYun,
Cho Mann
Publication year - 1998
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(19981030)28:6<887::aid-fld743>3.0.co;2-g
Subject(s) - inviscid flow , free surface , velocity potential , laplace transform , surface (topology) , potential flow , flow (mathematics) , laplace's equation , series (stratigraphy) , simple (philosophy) , mathematics , mathematical analysis , mechanics , spectral method , stability (learning theory) , classical mechanics , physics , geology , geometry , partial differential equation , computer science , paleontology , philosophy , epistemology , machine learning , boundary value problem
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 flows 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. © 1998 John Wiley & Sons, Ltd.