Abstract
To investigate the run-up heights of nearshore tsunamis in the vicinity of a circular island, a numerical model has been developed based on quadtree grids. The governing equations of the model are the nonlinear shallow-water equations. The governing equations are discretized explicitly by using the leap-frog scheme on adaptive hierarchical quadtree grids. The refined quadtree grids are generated around a circular island on a combined domain of rectangular and circular grids. The predicted numerical results have been verified by comparing to available laboratory measurements. A good agreement has been observed.
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