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An unstructured grid, three-dimensional model based on the shallow water equations

International Journal for Numerical Methods in Fluids

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DOI: 10.1002/(SICI)1097-0363(20000215)32:3<331::AID-FLD941>3.0.CO;2-C

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Abstract

A semi-implicit finite difference model based on the three-dimensional shallow water equations is modified to use unstructured grids. There are obvious advantages in using unstructured grids in problems with a complicated geometry. In this development, the concept of unstructured orthogonal grids is introduced and applied to this model. The governing differential equations are discretized by means of a semi-implicit algorithm that is robust, stable and very efficient. The resulting model is relatively simple, conserves mass, can fit complicated boundaries and yet is sufficiently flexible to permit local mesh refinements in areas of interest. Moreover, the simulation of the flooding and drying is included in a natural and straightforward manner. These features are illustrated by a test case for studies of convergence rates and by examples of flooding on a river plain and flow in a shallow estuary. Copyright ?? 2000 John Wiley & Sons, Ltd.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
An unstructured grid, three-dimensional model based on the shallow water equations
Series title:
International Journal for Numerical Methods in Fluids
DOI:
10.1002/(SICI)1097-0363(20000215)32:3<331::AID-FLD941>3.0.CO;2-C
Volume
32
Issue:
3
Year Published:
2000
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
International Journal for Numerical Methods in Fluids
First page:
331
Last page:
348
Number of Pages:
18