Discontinuous Galerkin methods for a dispersive wave hydro-morphodynamic model with bed-load transport
DOI10.1016/j.cma.2020.113592zbMath1506.76087arXiv2005.00920OpenAlexW3021106125MaRDI QIDQ2022050
Kazbek Kazhyken, Juha H. Videman, Clint N. Dawson
Publication date: 27 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.00920
dispersive wavesdiscontinuous Galerkin methodsshallow water flowsGreen-Naghdi equationssediment transportExner equation
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)
Uses Software
Cites Work
- Numerical modeling of sediment transport applied to coastal morphodynamics
- Sediment transport models in shallow water equations and numerical approach by high order finite volume methods
- A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model
- Implementation of a discontinuous Galerkin morphological model on two-dimensional unstructured meshes
- A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations
- Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes
- A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations
- Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells
- Spectral methods on triangles and other domains
- Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Definition and weak stability of nonconservative products
- A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes
- An explicit hybridized discontinuous Galerkin method for Serre-Green-Naghdi wave model
- Performance comparison of HPX versus traditional parallelization strategies for the discontinuous Galerkin method
- A comparison of the explicit and implicit hybridizable discontinuous Galerkin methods for nonlinear shallow water equations
- Hp discontinuous Galerkin methods for advection dominated problems in shallow water flow
- Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
- A discontinuous Galerkin finite element model for river bed evolution under shallow flows
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- A derivation of equations for wave propagation in water of variable depth
- A finite element method for the one-dimensional extended Boussinesq equations
- On the Construction and Comparison of Difference Schemes
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