Simulation of dam-break flow with grid adaptation |
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| Institution: | 1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. Research Center on Landslides, Disaster Prevention Research Institute, Kyoto University, Uji 611-0011, Japan;3. China Institute of Geo-Environment Monitoring, Beijing 100081, PR China;4. Guizhou Institute of Geo-Environment Monitoring, Guiyang, Guizhou 550004, PR China;5. Guizhou Institute of Geophysical and Geochemical Prospecting, Guiyang, Guizhou 550005, PR China |
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| Abstract: | The unsteady free surface flow caused by sudden collapse of a dam produces discontinuities in the flow variables. As the flow surges downstream, it forms a moving bore front with steep gradients of water height and velocity. In the numerical simulation of this flow, proper grid distribution can play a crucial part in the prediction and resolution of the solutions. The use of presently available numerical schemes to solve this problem on a uniform course grid system fails to resolve the characteristic flow features and hence do a poor job in simulating this flow. In this paper, an adaptive grid which adjusts itself as the solution evolves is used for a better resolution of the flow properties. Rai and Anderson's12 method is used to determine the grid speed; however, a different partial differential equation based on the conservative principle of grid arc lengths for clustering grids in one-dimensional flow is used along with the St. Venant equations to numerically simulate the flow. Both the subcritical and the supercritical flows under extreme boundary conditions are solved using this technique. With a specified number of grid points, this provides better quality solutions as compared to those obtained with uniformly distributed grids. |
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