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Proceedings/Recueil Des Communications Année : 2023

Runge-Kutta Discontinuous Galerkin Method Applied to Shallow Water Equations

Résumé

This work is devoted to the numerical simulation of Shallow Water Equations using Runge-Kutta Discontinuous Galerkin methods. Such methods were implemented in the framework of adaptive mesh refinement method using a block-based approach. The space and time discretization using the Runge-Kutta Discontinuous Galerkin approach is applied to nonlinear hyperbolic Shallow Water Equations. Increasing the order of approximation, spurious oscillations appear and are addressed using moment limiters. Finally, the solver is validated with a one-dimensional dam-break problem and its behavior is tested solving a two-dimensional benchmark.

Dates et versions

hal-04355984 , version 1 (20-12-2023)

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Camille Poussel, Mehmet Ersoy, Frederic Golay, Yolhan Mannes. Runge-Kutta Discontinuous Galerkin Method Applied to Shallow Water Equations. Topical Problems of Fluid Mechanics 2023, Institute of Thermomechanics of the Czech Academy of Sciences; CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics, pp.152-159, 2023, ⟨10.14311/TPFM.2023.021⟩. ⟨hal-04355984⟩

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