RKDG2 shallow-water solver on non-uniform grids with local time steps: application to 1D and 2D hydrodynamics

DOI10.1016/j.apm.2014.08.009zbMath1432.76159OpenAlexW2000332892MaRDI QIDQ2337559

Qiuhua Liang, Georges Kesserwani

Publication date: 20 November 2019

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.08.009

zbMATH Keywords

shallow water equationscomputational efficiencyfriction termstemporal adaptivity1D and 2D hydraulic modellingRKDG2 schemes

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

On the accurate simulation of nearshore and dam break problems involving dispersive breaking waves ⋮ Discontinuous Galerkin formulation for 2D hydrodynamic modelling: trade-offs between theoretical complexity and practical convenience ⋮ Shallow water equations with depth-dependent anisotropic porosity for subgrid-scale topography ⋮ Implicit finite volume simulation of 2D shallow water flows in flexible meshes

Uses Software

• ParBreZo

Cites Work

• Unnamed Item
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