A noise-free finite element scheme for the two-layer shallow water equations

Bach-Lien Hua; Francois Thomasset

doi:10.3402/tellusa.v36i2.11478

A noise-free finite element scheme for the two-layer shallow water equations

Tellus

Volume 36 (1984): Issue 2

By: Bach-Lien Hua and Francois Thomasset

Open Access

|Jan 1984

Abstract

A semi-implicit time marching scheme is combined with triangular finite elements in space for the discretization of the two-layer shallow water equations. Velocity variables are approximated by so-called non-conforming linear elements, which have their nodes at mid-sides of the triangles. Height variables are approximated by linear conforming elements. The resulting discrete scheme is easily inverted and is free of two-grid oscillation problems. It is identical for a particular lattice to a finite difference scheme derived by Mesinger (1973)

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Articles in this issue

DOI: https://doi.org/10.3402/tellusa.v36i2.11478 | Journal eISSN: 3035-9554

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Language: English

Page range: 157 - 165

Submitted on: Jul 13, 1982

Accepted on: Jun 21, 1983

Published on: Jan 1, 1984

Published by: Stockholm University Press

In partnership with: Paradigm Publishing Services

© 1984 Bach-Lien Hua, Francois Thomasset, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 36 (1984): Issue 2