Improved finite element forms for the shallow-water wave equations
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Authors
Williams, R.T.
Zienkiewicz, O.C.
Subjects
Waves
Mixed Finite Element
Shallow Water
Mixed Finite Element
Shallow Water
Advisors
Date of Issue
1981
Date
Publisher
Language
Abstract
This paper presents new finite element formulations of the shallow-water wave equations which use
different basis functions for the velocity and height fields. These arrangements are analysed with the
Fourier transform technique which was developed by Schoenstadt,' and they are also compared with
other finite difference and finite element schemes. The new schemes are integrated in time for two
initial states and compared with analytic solutions and numerical solutions from other schemes. The
behaviour of the new forms is excellent and they are also convenient to apply in two dimensions with
triangular elements.
Type
Article
Description
Series/Report No
Department
Meteorology
Organization
Identifiers
NPS Report Number
Sponsors
Funder
The research was partially supported by the Naval Air Systems Command through the Naval Environmental Prediction Research Facility.
Format
Citation
International Journal for Numerical Methods in Fluids, Volume 1, pp. 81-97, 1981
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.