Flux difference splitting and the balancing of source terms and flux gradients

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

Journal of Computational Physics

ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations

Journal of Computational Physics

Unsteady free surface flow simulation over complex topography with a multidimensional upwind technique

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

WENO schemes for balance laws with spatially varying flux

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

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 volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Journal of Computational Physics

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

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

Journal of Computational Physics

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

Journal of Computational Physics

A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes

Journal of Computational Physics

Conservative numerical simulation of multi-component transport in two-dimensional unsteady shallow water flow

Journal of Computational Physics

Improvements of semi-implicit schemes for hyperbolic balance laws applied on open channel flow equations

Computers & Mathematics with Applications

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

A simple finite volume method for the shallow water equations

Journal of Computational and Applied Mathematics

Weak solutions for partial differential equations with source terms: Application to the shallow water equations

Journal of Computational Physics

Improved Riemann solvers for complex transport in two-dimensional unsteady shallow flow

Journal of Computational Physics

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

Applied Numerical Mathematics

Unstructured finite volume discretisation of bed friction and convective flux in solute transport models linked to the shallow water equations

Journal of Computational Physics

A Riemann solver for unsteady computation of 2D shallow flows with variable density

Journal of Computational Physics

A large time step 1D upwind explicit scheme (CFL1): Application to shallow water equations

Journal of Computational Physics

A well-balanced shock-capturing hybrid finite volume-finite difference numerical scheme for extended 1D Boussinesq models

Applied Numerical Mathematics