2018 CSDMS meeting-027
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Embedding Seawall Models in Coastal Flooding Simulations
A barrier aware Riemann solver is developed for the shallow water equations in the presence of the sub-grid-scale barriers using an explicit finite volume scheme. Our algorithm guarantees that the barrier-containing cell can be split into two effective cells that are maintained outside of the reset of the grid structure. To avoid time-steps constrained by the size of small cut cells, we redistribute the fluxes computed on those cells engaging a modified h-box method. The solver ensures that water does not cross the barrier when it is not supposed to, maintain large time-steps relative to the cells being cut through and retain the desirable properties. Also, the wet-dry interface, the boundary between cells that are wet (or flooded) and dry are well handled so that quantities going to zero and conservation are carefully integrated into the method. The work is built off of the GeoClaw package so inherits various extensions to tsunami and storm surge simulations.