Concepedia

Nodal High-Order Discontinuous Galerkin Methods for the Spherical Shallow Water Equations

Francis X. Giraldo, Jan S. Hesthaven, Tim Warburton

Journal of Computational Physics · 2002 · 242 citations · 32 references

Open access

Concepts

Natural SciencesComputational EngineeringEarth SciencesCoastal EngineeringComputational Fluid DynamicsFluid DynamicsApproximation MethodsConvergence AnalysisFinite Element DiscretizationFinite Element FormulationNumerical Methods For Differential EquationsWeak FormulationDiscontinuous Galerkin FormulationGalerkin DiscretizationHigh-order Numerical SchemesHigh-order SchemesShallow Water Equations

References

32

Approximate Riemann solvers, parameter vectors, and difference schemes

Philip L. Roe · Journal of Computational Physics · 1981 · 9.1K citations

Natural Sciences, Mathematics, Physics +15

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method

Bram van Leer · Journal of Computational Physics · 1979 · 7K citations

Natural Sciences, Computational Engineering, Mathematics +11

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes

Philip L. Roe · Journal of Computational Physics · 1997 · 6.3K citations

Natural Sciences, Mathematics, Physics +15

Geophysical Fluid Dynamics

Joseph Pedlosky, S. Leibovich · Journal of Applied Mechanics · 1981 · 4.7K citations

Natural Sciences, Earth Sciences, Oceanography +12

The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V

Bernardo Cockburn, Chi‐Wang Shu · Journal of Computational Physics · 1998 · 2.2K citations

Engineering, Computational Engineering, Mechanical Engineering +12