Continuous, discontinuous and coupled discontinuous–continuous Galerkin finite element methods for the shallow water equations

DOI10.1002/fld.1156zbMath1097.76048OpenAlexW1976612557MaRDI QIDQ5487800

Dharhas Pothina, Jesse C. Feyen, Joannes J. Westerink, Clint N. Dawson

Publication date: 12 September 2006

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1156

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Waves for incompressible viscous fluids (76D33)

Related Items (17)

A comparison of the GWCE and mixed P − P1 formulations in finite-element linearized shallow-water models ⋮ A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings ⋮ Scalability of an unstructured grid continuous Galerkin based hurricane storm surge model ⋮ Performance of the unstructured-mesh, SWAN+ADCIRC model in computing hurricane waves and surge ⋮ A performance comparison of continuous and discontinuous finite element shallow water models ⋮ SUPG formulation augmented with YZβ shock‐capturing for computing shallow‐water equations ⋮ High‐order 𝒞¹finite‐element interpolating schemes—Part II: Nonlinear semi‐Lagrangian shallow‐water models ⋮ A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations ⋮ Discontinuous Galerkin methods with nodal and hybrid modal/nodal triangular, quadrilateral, and polygonal elements for nonlinear shallow water flow ⋮ Space-time SUPG finite element computation of shallow-water flows with moving shorelines ⋮ A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces ⋮ Stability of nonlinear convection-diffusion-reaction systems in discontinuous Galerkin methods ⋮ Enriched Galerkin method for the shallow-water equations ⋮ Artificial boundary layers in discontinuous Galerkin solutions to shallow water equations in channels ⋮ A novel local time stepping algorithm for shallow water flow simulation in the discontinuous Galerkin framework ⋮ A performance comparison of nodal discontinuous Galerkin methods on triangles and quadrilaterals ⋮ Formulation and application of the adaptive hydraulics three-dimensional shallow water and transport models

Uses Software

• ADCIRC

Cites Work

• A discontinuous \(hp\) finite element method for convection-diffusion problems
• Solution of the advection-diffusion equation using the spline function and finite elements
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