Non-oscillatory continuous FEM for transport and shallow water flows
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- Type
- article
- Published
- 2012-06-01
- Cited by
- 24
- References
- 26
- OpenAlex
- https://openalex.org/W1965070717
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:120779547
Keywords
Finite element method, Extended finite element method, Shallow water equations, Mathematics, Generalization
References
- Shock-Capturing Methods for Free-Surface Shallow Flows
- Implicit finite element discretizations based on the flux‐corrected transport algorithm
- Flux correction tools for finite elements
- A Taylor–Galerkin method for convective transport problems
- Fully multidimensional flux-corrected transport algorithms for fluids
- A Volume-of-Fluid based simulation method for wave impact problems
- Finite Element Flux-Corrected Transport (FEM-FCT) for the Euler and Navier-Stokes equations
- Upwind methods for hyperbolic conservation laws with source terms
- The multidimensional positive definite advection transport algorithm: nonoscillatory option
- A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems
- MPDATA: An edge-based unstructured-grid formulation
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- The characteristic‐based‐split procedure: an efficient and accurate algorithm for fluid problems
- A 3D finite element multigrid solver for the Euler equations
- The Continuous Galerkin Method Is Locally Conservative
- A positive definite continuous FEM model for advection
- Some exact solutions to the nonlinear shallow-water wave equations
- Numerical simulation of sand dune evolution in severe winds
- A weighted surface-depth gradient method for the numerical integration of the 2D shallow water equations with topography
- A Synchronous and Iterative Flux-Correction Formalism for Coupled Transport Equations
Cited by
- Free surface flows over partially erodible beds by a continuous finite element method
- A new numerical model for simulations of wave transformation, breaking and long‐shore currents in complex coastal regions
- A well‐balanced explicit/semi‐implicit finite element scheme for shallow water equations in drying–wetting areas
- Coupled dynamics of drying-wetting areas and erodible beds by a continuous FEM model
- POD-based model reduction for stabilized finite element approximations of shallow water flows
- Numerical simulation of evolutionary erodible bedforms using the particle finite element method
- A novel well-balanced scheme for modeling of dam break flow in drying-wetting areas
- 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 SHALLOW WATER EQUATION BASED ON DISPLACEMENT AND PRESSURE AND THE ZU-CLASS SYMPLECTIC METHOD
- PROJECTION-BASED MODEL REDUCTION FOR FINITE ELEMENT APPROXIMATION OF SHALLOW WATER FLOWS
- A shallow water equation based on displacement and pressure and its numerical solution
- Characteristic Based Split Finite Element for Unsteady Dam-Break Problem
- A conservative flux‐corrected continuous finite element method for fluid interface dynamics
- A continuous finite element solution of fluid interface propagation for emergence of cavities and geysering
- A FIC-FEM procedure for the shallow water equations over partially wet domains
- Propagation of large air pockets in ducts. Analytical and numerical approaches
- A finite element method for partially erodible bed evolution coupled with multiphase flows
- Fluid-evolving landform interaction by a surface-tracking method
- A coupled non-saturated model for cohesionless sediment transport
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