Finite volume model for two-dimensional shallow environmental flow
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Abstract
This paper presents the development of a two-dimensional, depth integrated, unsteady, free-surface model based on the shallow water equations. The development was motivated by the desire of balancing computational efficiency and accuracy by selective and conjunctive use of different numerical techniques. The base framework of the discrete model uses Godunov methods on unstructured triangular grids, but the solution technique emphasizes the use of a high-resolution Riemann solver where needed, switching to a simpler and computationally more efficient upwind finite volume technique in the smooth regions of the flow. Explicit time marching is accomplished with strong stability preserving Runge-Kutta methods, with additional acceleration techniques for steady-state computations. A simplified mass-preserving algorithm is used to deal with wet/dry fronts. Application of the model is made to several benchmark cases that show the interplay of the diverse solution techniques.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Finite volume model for two-dimensional shallow environmental flow |
| Series title | Journal of Hydraulic Engineering |
| DOI | 10.1061/(ASCE)HY.1943-7900.0000292 |
| Volume | 137 |
| Issue | 2 |
| Year Published | 2011 |
| Language | English |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Journal of Hydraulic Engineering |
| First page | 173 |
| Last page | 182 |
| Online Only (Y/N) | N |
| Additional Online Files (Y/N) | N |
| Google Analytic Metrics | Metrics page |