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| Solution of the 2D shallow water equations using the high-resolution finite-volume method on unstructured meshes |
| Received:November 02, 2007 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20096023 |
| KeyWord:2D shallow water equations HLL triangular mesh high-resolution |
| Author | Institution |
| 艾丛芳 |
大连理工大学 土木水利学院海岸和近海工程国家重点实验室,大连 |
| 金生 |
大连理工大学 土木水利学院海岸和近海工程国家重点实验室,大连 |
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| Abstract: |
| Based on the HLL’s approximate Riemann solver, a high-resolution model is developed for unsteady, two-dimensional, shallow water flow with triangular mesh.In order to achieve high-order spatial accuracy and to prevent nonphysical oscillations, the multi-dimensional reconstruction technique and the multi-dimensional limiter are employed in this study. A third-order Runge-Kutta method is used for the time integration of semi-discrete equations. In order to establish a well-balanced scheme for arbitrary geometry with triangular mesh, the classic HLL scheme is improved. The good quality of the results is illustrated by means of several examples including shallow water flow test cases. |