Adaptive multiscale discontinuous Galerkin methods for multiphase morphodynamics
Seminar Room 1, Newton Institute
AbstractWe present a strongly coupled, eigendecomposition problem for an extension of the Saint–Venant shallow water equations in two dimensions strongly coupled to a completely generalized Exner form of the sediment discharge equation. This formulation is used to implement an adaptive discontinuous Galerkin (DG) finite element method, using a Roe Flux for the advective components and the unified form for the dissipative components. We discuss important mathematical and numerical nuances that arise due to the emergence of nonconservative product formalisms in the presence of sharp gradients, and present some large scale candidate application models with examples
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