Abstract
A two-dimensional finite volume model is developed for the unsteady, and shallow water equations on arbitrary topography. The equations are discretized on quadrilateral control volumes in an unstructured arrangement. The HLLC Riemann approximate solver is used to compute the interface fluxes and the MUSCL-Hancock scheme with the surface gradient method is employed for second-order accuracy. This study presents a new method for translation of discretization technique from a structured grid description based on the traditional (i,j) duplet to an unstructured grid arrangement based on a single index, and efficiency of proposed technique for unsplit finite volume method. In addition, a simple but robust well-balanced technique between fluxes and source terms is suggested. The model is validated by comparing the predictions with analytical solutions, experimental data and field data including the following cases: steady transcritical flow over a bump, dam-break flow in an adverse slope channel and the Malpasset dam-break in France.
| Original language | English |
|---|---|
| Pages (from-to) | 1574-1589 |
| Number of pages | 16 |
| Journal | Journal of Vibroengineering |
| Volume | 16 |
| Issue number | 3 |
| State | Published - 2014 |
Keywords
- Dam-break
- Finite volume method
- Riemann solver
- Shallow water equations
- Unsplit scheme
- Unstructured grid
- Well-balanced