An Explicit Discontinuous Galerkin Method for Compound Flood Modeling
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Recent tropical cyclones, e.g., Hurricane Harvey (2017), have lead to significant rainfall and resulting runoff with accompanying flooding. When the runoff interacts with storm surge, the resulting floods can be greatly amplified and lead to effects that cannot be modeled by simple superposition of its distinctive sources. Existing numerical models that incorporate both rainfall and riverine flows often consider surrogates to the SWE such as kinematic or diffusive wave approximations. However these are in many cases limited to flows found in inland regions as their assumption are too limiting in coastal regions. Coastal and storm surge models such as ADCIRC [3], based continuous Galekrin methods may have issues with mass balance due to their conservation properties. On the other hand, shallow water equation (SWE) solvers based on discontinuous Galerkin (DG) methods, such as those introduced in [1, 2] avoid these issues due to their local mass conservation property. In this presentation, we present our latest advancements to our discontinuous Galerkin (DG) shallow water equation (SWE) solver as part of ongoing efforts in compound flood modeling for coastal domains. These advancements include rainfall onto the finite element mesh and parametric rainfall models from literature.
