Discontinuous and coupled continuous/discontinuous Galerkin methods for the shallow water equations
β Scribed by Clint Dawson; Jennifer Proft
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 336 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0045-7825
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π SIMILAR VOLUMES
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
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