Stabilized Finite Element Schemes for Applications in Modeling Compound Floods
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Creating reliable physics-based simulations of the multi-physics processes that occur during compound flooding events, such as hurricanes, is important in order to assess hazards for people living in vulnerable areas. The partial differential equations which govern these processes are nonlinear, often CFL limited and thus present challenges for applying numerical methods to solve them. To address this problem, we present the utilization of stabilized continuous finite element schemes in space along with fully implicit time stepping that is used within the US Army Corps.' Adaptive Hydraulics (AdH) Framework. Recent advances within AdH are presented and results are presented by applying AdH to solve some fully coupled groundwater and surface water scenarios. Additionally, we explore possible future improvements to AdH by applying some different stabilized finite element schemes to the surface water model which is governed by the 2D shallow water equations including possibly discontinuous, as well as mixed discontinuous/continuous schemes.
