A well-balanced van Leer-type numerical scheme for shallow water equations with variable topography
type: Item
instance of: scholarly article
title: A well-balanced van Leer-type numerical scheme for shallow water equations with variable topography
zbMATH Open document ID: 1465.35338
author: Dao Huy Cuong
author: Mai Duc Thanh
published in: Advances in Computational Mathematics
publication date: 2017-12-06T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 65M08
zbMATH DE Number: 6816269
zbMATH Keywords: shallow water equations
zbMATH Keywords: resonant
zbMATH Keywords: nonconservative
zbMATH Keywords: Riemann problem
zbMATH Keywords: Godunov scheme
zbMATH Keywords: van Leer scheme
zbMATH Keywords: accuracy
MaRDI profile type: Publication
full work available at URL: s10444-017-9521-4
OpenAlex ID: W2589385918
cites work: Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
cites work: A Godunov-type method for the seven-equation model of compressible two-phase flow
cites work: A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
cites work: A Semi-implicit Relaxation Scheme for Modeling Two-Phase Flow in a Pipeline
cites work: Equilibrium schemes for scalar conservation laws with stiff sources
cites work: Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws
cites work: Q5863784
cites work: A Riemann solver and upwind methods for a two-phase flow model in non-conservative form
cites work: A Godunov-type scheme for the isentropic model of a fluid flow in a nozzle with variable cross-section
cites work: Second‐order entropy diminishing scheme for the Euler equations
cites work: Two properties of two-velocity two-pressure models for two-phase flows
cites work: Definition and weak stability of nonconservative products
cites work: On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
cites work: Numerical approximation of hyperbolic systems of conservation laws
cites work: A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
cites work: The Riemann problem for a class of resonant hyperbolic systems of balance laws
cites work: NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH
cites work: Why Nonconservative Schemes Converge to Wrong Solutions: Error Analysis
cites work: Nonlinear Resonance in Systems of Conservation Laws
cites work: Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law
cites work: Lack of hyperbolicity in the two-fluid model for two-phase incompressible flow
cites work: Numerical Solutions to Compressible Flows in a Nozzle with Variable Cross-section
cites work: The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section
cites work: Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form
cites work: The Riemann problem for fluid flows in a nozzle with discontinuous cross-section
cites work: The Riemann problem for the shallow water equations with discontinuous topography
cites work: A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime
cites work: A Riemann problem in gas dynamics with bifurcation
cites work: The Riemann problem for the one-dimensional, free-surface shallow water equations with a bed step: theoretical analysis and numerical simulations
cites work: The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
cites work: A multiphase Godunov method for compressible multifluid and multiphase flows
cites work: A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver
cites work: A phase decomposition approach and the Riemann problem for a model of two-phase flows
cites work: The Riemann Problem for a Nonisentropic Fluid in a Nozzle with Discontinuous Cross-Sectional Area
cites work: Q5247781
DOI: 10.1007/S10444-017-9521-4
description: scientific article; zbMATH DE number 6816269