Numerical Tracking of Shallow Water Waves by the Unstructured Finite Volume WAF Approximation
From MaRDI portal
Publication:5451484
DOI10.1080/15502280601149577zbMath1388.76032OpenAlexW2045118505MaRDI QIDQ5451484
Youssef Loukili, Azzeddine Soulaimani
Publication date: 27 March 2008
Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/15502280601149577
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12)
Related Items (11)
A high-resolution shallow water model using unstructured quadrilateral grids ⋮ Discretization of multidimensional mathematical equations of dam break phenomena using a novel approach of finite volume method ⋮ A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows ⋮ Shallow-water simulations by a well-balanced WAF finite volume method: a case study to the great flood in 2011, Thailand ⋮ Efficient GPU implementation of a two waves TVD-WAF method for the two-dimensional one layer shallow water system on structured meshes ⋮ Modeling of wetting-drying transitions in free surface flows over complex topographies ⋮ The natural volume method (NVM): Presentation and application to shallow water inviscid flows ⋮ Accurate particle splitting for smoothed particle hydrodynamics in shallow water with shock capturing ⋮ On the modeling and simulation of non-hydrostatic dam break flows ⋮ A POD-based reduced-order model for free surface shallow water flows over real bathymetries for Monte-Carlo-type applications ⋮ Parallel high-order resolution of the shallow-water equations on real large-scale meshes with complex bathymetries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On WAF-type schemes for multidimensional hyperbolic conservation laws
- High resolution schemes for hyperbolic conservation laws
- Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Solutions of a two-dimensional dam break problem
- Restoration of the contact surface in the HLL-Riemann solver
- On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Numerical solution of the St. Venant equations with the MacCormack finite-difference scheme
- Development of new triangular elements for free surface flows
- A weighted average flux method for hyperbolic conservation laws
- Riemann problems and the WAF method for solving the two-dimensional shallow water equations
- A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
- Sur une méthode de décentrage de schémas d'éléments finis résolvant les équations de Navier-Stokes et de Saint-Venant
- Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes
- A numerical model for the flooding and drying of irregular domains
- Performance of finite volume solutions to the shallow water equations with shock-capturing schemes
- Flux difference splitting and the balancing of source terms and flux gradients
This page was built for publication: Numerical Tracking of Shallow Water Waves by the Unstructured Finite Volume WAF Approximation