An hp-adaptive discontinuous Galerkin method for shallow water flows
β Scribed by C. Eskilsson
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 846 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0271-2091
- DOI
- 10.1002/fld.2434
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π SIMILAR VOLUMES
We formulate and present a stability analysis for the local discontinuous Galerkin method applied to a model of three-dimensional shallow water flow. This model is described by the Navier-Stokes equations, assuming hydrostatic pressure. The resulting system of equations is given by momentum equation
We present a high-order discontinuous Galerkin method for the solution of the shallow water equations on the sphere. To overcome well-known problems with polar singularities, we consider the shallow water equations in Cartesian coordinates, augmented with a Lagrange multiplier to ensure that fluid p