Well balancing of the SWE schemes for moving-water steady flows
From MaRDI portal
Publication:1686607
DOI10.1016/j.jcp.2017.04.031zbMath1376.76031arXiv1912.04829OpenAlexW2607457650MaRDI QIDQ1686607
Alessandro Valiani, Valerio Caleffi
Publication date: 15 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.04829
shallow water equationswell-balanced schemespath-conservative schemesenergy-balanced schemesHLLEM schemes
PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12)
Related Items
An augmented HLLEM ADER numerical model parallel on GPU for the porous shallow water equations ⋮ The exact Riemann solver for the shallow water equations with a discontinuous bottom ⋮ Finite volume and WENO scheme in one-dimensional vascular system modelling ⋮ Entanglement concentration service for the quantum Internet ⋮ Formulation of exactly balanced solvers for blood flow in elastic vessels and their application to collapsed states ⋮ Decoherence dynamics estimation for superconducting gate-model quantum computers ⋮ The entropy fix in augmented Riemann solvers in presence of source terms: application to the shallow water equations ⋮ 2D well-balanced augmented ADER schemes for the shallow water equations with bed elevation and extension to the rotating frame ⋮ Quasi-exact solution of the Riemann problem for generalised dam-break over a mobile initially flat bed ⋮ Dimensional splitting well-balanced schemes on Cartesian mesh for 2D shallow water equations with variable topography ⋮ Unsteady draining of reservoirs over weirs and through constrictions ⋮ A Poisson model for entanglement optimization in the quantum Internet
Uses Software
Cites Work
- Unnamed Item
- Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws
- Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography
- Moving-water equilibria preserving central-upwind schemes for the shallow water equations
- High order exactly well-balanced numerical methods for shallow water systems
- Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium
- Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes
- Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography
- A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
- 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
- Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes
- On Godunov-type methods near low densities
- Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
- A comment on the computation of non-conservative products
- Weak solutions for partial differential equations with source terms: application to the shallow water equations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Upwind methods for hyperbolic conservation laws with source terms
- Definition and weak stability of nonconservative products
- Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
- A comparison between bottom-discontinuity numerical treatments in the DG framework
- A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
- 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
- WELL-BALANCED NUMERICAL SCHEMES BASED ON A GENERALIZED HYDROSTATIC RECONSTRUCTION TECHNIQUE
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- On Godunov-Type Methods for Gas Dynamics
- Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- APPROXIMATE SHOCK CURVES FOR NON-CONSERVATIVE HYPERBOLIC SYSTEMS IN ONE SPACE DIMENSION
- Numerical methods with controlled dissipation for small-scale dependent shocks
- A WELL-BALANCED SCHEME USING NON-CONSERVATIVE PRODUCTS DESIGNED FOR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS WITH SOURCE TERMS
- Shock Profiles for the Shallow-Water Exner Models
- A Survey of High Order Schemes for the Shallow Water Equations
- On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
