Non-oscillatory continuous FEM for transport and shallow water flows

DOI10.1016/j.cma.2012.02.022zbMath1253.76064OpenAlexW1965070717MaRDI QIDQ695977

Pablo Ortiz

Publication date: 17 December 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2012.02.022

zbMATH Keywords

shallow water equationsflux correctioncontinuous Galerkin finite elementspositive definite algorithm

Mathematics Subject Classification ID

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 (8)

POD-based model reduction for stabilized finite element approximations of shallow water flows ⋮ A novel well-balanced scheme for modeling of dam break flow in drying-wetting areas ⋮ A continuous finite element solution of fluid interface propagation for emergence of cavities and geysering ⋮ A finite element method for partially erodible bed evolution coupled with multiphase flows ⋮ On displacement shallow water wave equation and symplectic solution ⋮ Evaluation of Galerkin and Petrov-Galerkin model reduction for finite element approximations of the shallow water equations ⋮ A FIC-FEM procedure for the shallow water equations over partially wet domains ⋮ Propagation of large air pockets in ducts. Analytical and numerical approaches

Uses Software

• SHASTA

Cites Work

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• MPDATA: an edge-based unstructured-grid formulation
• Fully multidimensional flux-corrected transport algorithms for fluids
• The multidimensional positive definite advection transport algorithm: Nonoscillatory option
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Upwind methods for hyperbolic conservation laws with source terms
• The continuous Galerkin method is locally conservative
• Flux correction tools for finite elements
• A volume-of-fluid based simulation method for wave impact problems
• A synchronous and iterative flux-correction formalism for coupled transport equations
• A Taylor-Galerkin method for convective transport problems
• Hydrodynamics and transport in estuaries and rivers by the CBS finite element method
• Finite element flux-corrected transport (FEM-FCT) for the euler and Navier-Stokes equations
• A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems
• Some exact solutions to the nonlinear shallow-water wave equations
• Implicit finite element discretizations based on the flux‐corrected transport algorithm
• Flux-Corrected Transport
• A split‐characteristic based finite element model for the shallow water equations
• The characteristic-based-split procedure: an efficient and accurate algorithm for fluid problems
• Numerical simulation of sand dune evolution in severe winds
• Finite elements using a plane-wave basis for scattering of surface water waves
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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