A Parallel High-Order Discontinuous Galerkin Shallow Water Model

DOI10.1007/978-3-642-01970-8_7zbMath1297.76098OpenAlexW1480097244MaRDI QIDQ3629536

Claes Eskilsson, Yaakoub El Khamra, Q. Jim Chen, David Rideout, Mayank Tyagi, Gabrielle Allen

Publication date: 28 May 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-01970-8_7

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

Method of moving frames to solve the shallow water equations on arbitrary rotating curved surfaces, Exploiting batch processing on streaming architectures to solve 2D elliptic finite element problems: a hybridized discontinuous Galerkin (HDG) case study, Discontinuous Galerkin formulation for 2D hydrodynamic modelling: trade-offs between theoretical complexity and practical convenience, RKDG2 shallow-water solver on non-uniform grids with local time steps: application to 1D and 2D hydrodynamics

Uses Software

• Cactus
• Nektar++

Cites Work

• Unnamed Item
• Unnamed Item
• A performance comparison of continuous and discontinuous finite element shallow water models
• Dynamic \(p\)-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations
• Parallel, adaptive finite element methods for conservation laws
• Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
• Hp discontinuous Galerkin methods for advection dominated problems in shallow water flow
• A triangular spectral/hp discontinuous Galerkin method for modelling 2D shallow water equations
• A high‐order triangular discontinuous Galerkin oceanic shallow water model
• Spectral/hp Element Methods for Computational Fluid Dynamics