Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations
DOI10.4208/aamm.OA-2019-0011zbMath1488.65343OpenAlexW2999611253MaRDI QIDQ5156956
I. Kissami, Fayssal Benkhaldoun, Mohammed Seaid
Publication date: 12 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2019-0011
Shocks and related discontinuities in solid mechanics (74J40) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Free-surface potential flows for incompressible inviscid fluids (76B07) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for second-order hyperbolic systems (35L53) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes
- Comparison of unstructured finite-volume morphodynamic models in contracting channel flows
- A new finite volume method for flux-gradient and source-term balancing in shallow water equations
- ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
- Upwind methods for hyperbolic conservation laws with source terms
- On numerical treatment of the source terms in the shallow water equations
- ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework
- A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids
- A kinetic scheme for the Saint-Venant system with a source term
- Adaptive finite volume approximation of the shallow water equations
- Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes
- A sign matrix based scheme for non-homogeneous PDE's with an analysis of the convergence stagnation phenomenon
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- Goal-oriented a posteriori error estimation for finite volume methods
- A non-homogeneous Riemann solver for shallow water equations in porous media
- An hp-adaptive discontinuous Galerkin method for shallow water flows
- Shallow flow simulation on dynamically adaptive cut cell quadtree grids
- A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
- Central-Upwind Schemes for the Saint-Venant System
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Non-oscillatory relaxation methods for the shallow-water equations in one and two space dimensions
- A posteriori estimation and adaptive control of the pollution error in the h‐version of the finite element method
- An unstructured finite‐volume method for coupled models of suspended sediment and bed load transport in shallow‐water flows
- Flux difference splitting and the balancing of source terms and flux gradients
- Exact solutions to the Riemann problem of the shallow water equations with a bottom step
This page was built for publication: Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations