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A spectral method for free surface flows of inviscid fluids

✍ Scribed by Min-Joon Kim; Hie-Tae Moon; Yong-Bum Lee; Seok-Ki Choi; Yong-Kyun Kim; Ho-Yun Nam; Mann Cho

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
177 KB
Volume
28
Category
Article
ISSN
0271-2091

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✦ Synopsis

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.

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