A well-balanced finite volume scheme based on planar Riemann solutions for 2D shallow water equations with bathymetry
DOI10.1016/j.amc.2023.128167OpenAlexW4380926817MaRDI QIDQ6096265
Dao Huy Cuong, Nguyen Ba Hoai Linh
Publication date: 11 September 2023
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2023.128167
finite volume methodshallow water equationsaccuracyRiemann problemnonconservativewell-balanced schemeresonant
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Cites Work
- Unnamed Item
- Unnamed Item
- A Godunov-type scheme for the isentropic model of a fluid flow in a nozzle with variable cross-section
- A phase decomposition approach and the Riemann problem for a model of two-phase flows
- A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver
- Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography
- A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime
- Two properties of two-velocity two-pressure models for two-phase flows
- Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes
- Stabilized residual distribution for shallow water simulations
- A multiphase Godunov method for compressible multifluid and multiphase flows
- Lack of hyperbolicity in the two-fluid model for two-phase incompressible flow
- A well-balanced van Leer-type numerical scheme for shallow water equations with variable topography
- The Riemann problem for a class of resonant hyperbolic systems of balance laws
- Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws
- Some approximate Godunov schemes to compute shallow-water equations with topography.
- Definition and weak stability of nonconservative products
- Efficient GPU implementation of multidimensional incomplete Riemann solvers for hyperbolic nonconservative systems: applications to shallow water systems with topography and dry areas
- The resonant cases and the Riemann problem for a model of two-phase flows
- A Godunov-type method for the seven-equation model of compressible two-phase flow
- The Riemann problem for the shallow water equations with discontinuous topography: the wet-dry case
- On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
- The Riemann problem for the shallow water equations with discontinuous topography
- The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
- A HIGH-RESOLUTION VAN LEER-TYPE SCHEME FOR A MODEL OF FLUID FLOWS IN A NOZZLE WITH VARIABLE CROSS-SECTION
- Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
- The Riemann Problem for a Nonisentropic Fluid in a Nozzle with Discontinuous Cross-Sectional Area
- A Riemann problem in gas dynamics with bifurcation
- Nonlinear Resonance in Systems of Conservation Laws
- Why Nonconservative Schemes Converge to Wrong Solutions: Error Analysis
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form
- Equilibrium schemes for scalar conservation laws with stiff sources
- Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- A Semi-implicit Relaxation Scheme for Modeling Two-Phase Flow in a Pipeline
- A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes
This page was built for publication: A well-balanced finite volume scheme based on planar Riemann solutions for 2D shallow water equations with bathymetry