TESTING AN ADAPTIVE GRID-BASED FIRST ORDER FINITE VOLUME SCHEME FOR DAM-BREAK SIMULATION

We describe and validate the simulation of a dam-break flow on natural topography by solving shallow water equations with a well-balanced, positivity-preserving first order finite volume scheme and a dynamically adaptive general rectangular tree grid method. The results were validated with close agreement with the experimental data. Moreover, the results for the simulation of dam-break floods in rugged terrain compared with other numerical results, computed by adaptive and non-adaptive grid second order schemes, show that the model is very efficient by reducing the number of computational cells and the computational time without too much loss of accuracy. The validation and comparisons indicate that the model has potential for practical usage.