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A conservative high-order discontinuous Galerkin method for the shallow water equations with arbitrary topography

✍ Scribed by Georges Kesserwani; Qiuhua Liang


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
804 KB
Volume
86
Category
Article
ISSN
0029-5981

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Nodal High-Order Discontinuous Galerkin
✍ F.X. Giraldo; J.S. Hesthaven; T. Warburton 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 433 KB

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