A two-dimensional hp-adaptive discontinuous Galerkin model solving the shallow water equations on the sphere
(2010) The 2010 Workshop on the Solution of Partial Differential Equations on the Sphere — Location: Potsdam (24.August.2010)
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- Abstract
- Unstructured meshes are becoming more and more popular in geophysical flow models. We present a two-dimensional model solving the shallow-water equations on unstructured meshes. The latter is dynamically adapted using the AMR technique to minimize the discretization error. The interpolation order is also adapted during the solution process. The model solves the shallow water equations on the sphere using cartesian coordinates, the horizontal motion being constrained on the surface of the sphere using the Lagrange multiplier method (C t 1988). Classical test cases are used to validate the model, as well as a tsunami simulation.
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Blaise, S., & St-Cyr, A. (2010). A two-dimensional hp-adaptive discontinuous Galerkin model solving the shallow water equations on the sphere. The 2010 Workshop on the Solution of Partial Differential Equations on the Sphere, Potsdam. https://hdl.handle.net/2078.5/203883