Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propagation algorithm

A well-balanced gas-kinetic scheme for the shallow-water equations with source terms

Journal of Computational Physics

Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws

Journal of Computational Physics

Formulations for Numerically Approximating Hyperbolic Systems Governing Sediment Transport

Journal of Scientific Computing

Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver

Journal of Computational Physics

Well balanced finite volume methods for nearly hydrostatic flows

Journal of Computational Physics

WENO schemes for balance laws with spatially varying flux

Journal of Computational Physics

A shock-capturing wave-propagation method for dry and saturated granular flows

Journal of Computational Physics

A wave propagation algorithm for hyperbolic systems on curved manifolds

Journal of Computational Physics

Balanced finite volume WENO and central WENO schemes for the shallow water and the open-channel flow equations

Journal of Computational Physics

A well-balanced positivity preserving "second-order" scheme for shallow water flows on unstructured meshes

Journal of Computational Physics

High order finite difference WENO schemes with the exact conservation property for the shallow water equations

Journal of Computational Physics

High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms

Journal of Scientific Computing

High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Journal of Computational Physics

Computations of steady and unsteady transport of pollutant in shallow water

Mathematics and Computers in Simulation

Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows

Journal of Computational Physics

CWENO-type central-upwind schemes for multidimensional Saint-Venant system of shallow water equations

Applied Numerical Mathematics

A high resolution scheme for Eulerian gas-solid two-phase isentropic flow

Journal of Computational Physics

Fourth-order balanced source term treatment in central WENO schemes for shallow water equations

Journal of Computational Physics

Well-balanced finite volume evolution Galerkin methods for the shallow water equations

Journal of Computational Physics

Application of the GRP scheme to open channel flow equations

Journal of Computational Physics

Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes

Journal of Computational Physics

Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid method

Applied Numerical Mathematics

A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations

Journal of Computational Physics

A sign matrix based scheme for non-homogeneous PDE's with an analysis of the convergence stagnation phenomenon

Journal of Computational Physics

On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas

Journal of Computational Physics

Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations

Journal of Computational Physics

Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry

Journal of Computational Physics

Augmented Riemann solvers for the shallow water equations over variable topography with steady states and inundation

Journal of Computational Physics

Extension of WAF Type Methods to Non-Homogeneous Shallow Water Equations with Pollutant

Journal of Scientific Computing

Lattice Boltzmann simulation of depth-averaged models in flow hydraulics

International Journal of Computational Fluid Dynamics - Mesoscopic Methods And Their Applications To CFD

A well balanced fvm with scalar diffusion to hyperbolic balance laws

ICCOMP'08 Proceedings of the 12th WSEAS international conference on Computers

Conservative discretization of Coriolis force in a finite volume framework

Journal of Computational Physics

Multi-dimensional conservative semi-Lagrangian method of characteristics CIP for the shallow water equations

Journal of Computational Physics

A finite volume method parallelization for the simulation of free surface shallow water flows

Mathematics and Computers in Simulation

A primitive-variable Riemann method for solution of the shallow water equations with wetting and drying

Journal of Computational Physics

High-order well-balanced schemes and applications to non-equilibrium flow

Journal of Computational Physics

Coupled model of surface water flow, sediment transport and morphological evolution

Computers & Geosciences

On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes

International Journal of Applied Mathematics and Computer Science - Scientific Computation for Fluid Mechanics and Hyperbolic Systems

A simple finite volume method for the shallow water equations

Journal of Computational and Applied Mathematics

High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres

Journal of Computational Physics

A multi-moment finite volume formulation for shallow water equations on unstructured mesh

Journal of Computational Physics

Enhancement of the LABSWE for shallow water flows

Journal of Computational Physics

A fast adaptive quadtree scheme for a two-layer shallow water model

Journal of Computational Physics

Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography

Journal of Computational Physics

Simulations of Shallow Water Equations with Finite Difference Lax-Wendroff Weighted Essentially Non-oscillatory Schemes

Journal of Scientific Computing

Shallow Water Flows in Channels

Journal of Scientific Computing

A Hybrid Second Order Scheme for Shallow Water Flows

Journal of Scientific Computing

A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems

Journal of Scientific Computing

A Well-Balanced Path-Integral f-Wave Method for Hyperbolic Problems with Source Terms

Journal of Scientific Computing

C3: A finite volume-finite difference hybrid model for tsunami propagation and runup

Computers & Geosciences

Analysis of a new Kolgan-type scheme motivated by the shallow water equations

Applied Numerical Mathematics

Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations

Journal of Scientific Computing

A Well-balanced Finite Volume-Augmented Lagrangian Method for an Integrated Herschel-Bulkley Model

Journal of Scientific Computing

On the well-balanced numerical discretization of shallow water equations on unstructured meshes

Journal of Computational Physics

High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields

Journal of Scientific Computing

Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties

Journal of Computational Physics

A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations

Journal of Scientific Computing

Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium

Journal of Computational Physics

Well-Balanced Adaptive Mesh Refinement for shallow water flows

Journal of Computational Physics

Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

Journal of Scientific Computing

Efficient numerical schemes for viscoplastic avalanches. Part 1: The 1D case

Journal of Computational Physics