A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers
From MaRDI portal
Publication:617454
DOI10.1016/j.jcp.2010.10.001zbMath1283.76048OpenAlexW2114492013WikidataQ57964599 ScholiaQ57964599MaRDI QIDQ617454
Marica Pelanti, François Bouchut, Anne Mangeney-Castelnau
Publication date: 21 January 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2010.10.001
Multiphase and multicomponent flows (76T99) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
Two-dimensional simulation of debris flows over mobile bed: enhancing the TRENT2D model by using a well-balanced generalized Roe-type solver, A kinetic flux-vector splitting method for single-phase and two-phase shallow flows, The space-time CE/SE method for solving single and two-phase shallow flow models, Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs, A closure-independent generalized Roe solver for free-surface, two-phase flows over mobile bed, Wetting and Drying Procedures for Shallow Water Simulations, A scalable well-balanced numerical scheme for the modeling of two-phase shallow granular landslide consolidation, A discrete Boltzmann equation model for two-phase shallow granular flows, A two-phase shallow debris flow model with energy balance, Tsunami modelling with adaptively refined finite volume methods, A predictor-corrector scheme for simulation of two-phase granular flows over a moved bed with a variable topography
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wave propagation algorithms for multidimensional hyperbolic systems
- 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
- ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- Hyperbolic conservation laws with relaxation
- Two-layer shallow-water flow in two dimensions, a numerical study
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Some stability-instability problems in phase transitions modelled by piecewise linear elastic or viscoelastic constitutive equations
- A weak formulation of Roe's approximate Riemann solver
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- A sequel to a rough Godunov scheme: Application to real gases
- On modelling phase transitions by means of rate-type constitutive equations. Shock wave structure
- A study of numerical methods for hyperbolic conservation laws with stiff source terms
- Some approximate Godunov schemes to compute shallow-water equations with topography.
- Definition and weak stability of nonconservative products
- On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
- Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation
- On the use of symmetrizing variables for vacuums
- AQ-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
- A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes
- Hydrodynamics of Free Surface Flows
- A Roe-type scheme for two-phase shallow granular flows over variable topography
- Two-Layer Shallow Water System: A Relaxation Approach
- On some fast well-balanced first order solvers for nonconservative systems
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Un schéma simple pour les équations de Saint-Venant
- Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics
- Finite Volume Methods for Hyperbolic Problems
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- On an Approximate Godunov Scheme
- Comparaison de solveurs numériques pour simuler la turbulence compressible
- A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- A two-fluid model for avalanche and debris flows
- On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
- Numerical Modeling of Two-Phase Gravitational Granular Flows with Bottom Topography
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- NUMERICAL TREATMENT OF WET/DRY FRONTS IN SHALLOW FLOWS WITH A MODIFIED ROE SCHEME
- A class of approximate Riemann solvers and their relation to relaxation schemes
