A finite element solution of the shallow-water wave equations

A finite element method is presented for the solution of the shallow-water wave equations. The method is characterized by a semi-implicit decoupling algorithm; the grid is composed of isoparametric, biquadratic elements; and the interpolation is mixed, with biquadratic velocity and bilinear elevatio...

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Veröffentlicht in:	Applied mathematical modelling 1990, Vol.14 (1), p.20-29
1. Verfasser:	Utnes, Torbjørn
Format:	Artikel
Sprache:	eng
Schlagworte:	decoupling algorithm Dynamics of the ocean (upper and deep oceans) Earth, ocean, space Exact sciences and technology External geophysics finite elements Physics of the oceans shallow-water equations
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A finite element method is presented for the solution of the shallow-water wave equations. The method is characterized by a semi-implicit decoupling algorithm; the grid is composed of isoparametric, biquadratic elements; and the interpolation is mixed, with biquadratic velocity and bilinear elevation. Several test cases are presented to demonstrate the ability of the method, including a simulation of internal waves in Lake Mjøsa.
ISSN:	0307-904X
DOI:	10.1016/0307-904X(90)90159-3