An unstructured grid, three-dimensional model based on the shallow water equations
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...
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| Veröffentlicht in: | International journal for numerical methods in fluids 2000-02, Vol.32 (3), p.331-348 |
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| container_title | International journal for numerical methods in fluids |
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| creator | Casulli, Vincenzo Walters, Roy A. |
| description | 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. |
| doi_str_mv | 10.1002/(SICI)1097-0363(20000215)32:3<331::AID-FLD941>3.0.CO;2-C |
| format | Article |
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| identifier | ISSN: 0271-2091 |
| ispartof | International journal for numerical methods in fluids, 2000-02, Vol.32 (3), p.331-348 |
| issn | 0271-2091 1097-0363 |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Algorithms Differential equations Earth sciences Earth, ocean, space Equations of motion Exact sciences and technology finite difference Finite difference method finite volume Finite volume method Marine and continental quaternary Mathematical models semi-implicit shallow water Surficial geology three-dimensional unstructured grid |
| title | An unstructured grid, three-dimensional model based on the shallow water equations |
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