A fully well-balanced hydrodynamic reconstruction
From MaRDI portal
Publication:6617242
DOI10.1515/jnma-2023-0065MaRDI QIDQ6617242
Christophe Berthon, Victor Michel-Dansac
Publication date: 10 October 2024
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
shallow water equationsfinite volume schemefully well-balancedsteady solutions with nonzero velocity
Cites Work
- Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium
- Efficient well-balanced hydrostatic upwind schemes for shallow-water equations
- A well-balanced scheme for the shallow-water equations with topography
- On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations
- A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime
- Upwind methods for hyperbolic conservation laws with source terms
- A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
- Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation
- A well-balanced scheme for the shallow-water equations with topography or Manning friction
- A well-balanced numerical scheme for a one-dimensional quasilinear hyperbolic model of chemotaxis
- The exact Riemann solver for the shallow water equations with a discontinuous bottom
- Energy-stable staggered schemes for the shallow water equations
- A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction
- High order still-water and moving-water equilibria preserving discontinuous Galerkin methods for the Ripa model
- Well-balanced high-order finite volume methods for systems of balance laws
- Improvement of the hydrostatic reconstruction scheme to get fully discrete entropy inequalities
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials
- Relations between WENO3 and third-order limiting in finite volume methods
- Reliability of first order numerical schemes for solving shallow water system over abrupt topography
- High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
- The Riemann problem for the shallow water equations with discontinuous topography
- Stability of the MUSCL schemes for the Euler equations
- High-order well-balanced methods for systems of balance laws: a control-based approach
- Strong stability-preserving high-order time discretization methods
- A steady-state capturing method for hyperbolic systems with geometrical source terms
- A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations
- A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows
- WELL-BALANCED NUMERICAL SCHEMES BASED ON A GENERALIZED HYDROSTATIC RECONSTRUCTION TECHNIQUE
- Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Simplified Godunov Schemes for $2 \times 2$ Systems of Conservation Laws
- Total variation diminishing Runge-Kutta schemes
- Finite Volume Methods for Hyperbolic Problems
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- The Multidimensional Optimal Order Detection method in the three‐dimensional case: very high‐order finite volume method for hyperbolic systems
- A ‘well‐balanced’ finite volume scheme for blood flow simulation
- A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms
- A New Hydrostatic Reconstruction Scheme Based on Subcell Reconstructions
This page was built for publication: A fully well-balanced hydrodynamic reconstruction