Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry

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

Equilibrium schemes for scalar conservation laws with stiff sources

Mathematics of Computation

On an one-dimensional bi-layer shallow-water problem

Nonlinear Analysis: Theory, Methods & Applications - Theory and methods

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

Journal of Computational Physics

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

Journal of Computational Physics

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

Journal of Computational Physics

Numerical simulation of two-layer shallow water flows through channels with irregular geometry

Journal of Computational Physics

Time-stepping Padé-Petrov-Galerkin models for hydraulic jump simulation

Mathematics and Computers in Simulation

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

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

Journal of Computational Physics

Application of the GRP scheme to open channel flow equations

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

Upwinding of the source term at interfaces for Euler equations with high friction

Computers & Mathematics with Applications

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

Journal of Computational Physics

ADER schemes for the shallow water equations in channel with irregular bottom elevation

Journal of Computational Physics

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

Journal of Computational Physics

Solving shallow-water systems in 2D domains using Finite Volume methods and multimedia SSE instructions

Journal of Computational and Applied Mathematics

Lattice Boltzmann simulation of depth-averaged models in flow hydraulics

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

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

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

First- and second-order finite volume methods for the one-dimensional nonconservative Euler system

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

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

Journal of Computational Physics

An Exner-based coupled model for two-dimensional transient flow over erodible bed

Journal of Computational Physics

A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows

SIAM Journal on Numerical Analysis

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

Shallow Water Flows in Channels

Journal of Scientific Computing

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

Journal of Computational Physics

Wave Riemann description of friction terms in unsteady shallow flows: Application to water and mud/debris floods

Journal of Computational Physics

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

The numerical treatment of wet/dry fronts in shallow flows: application to one-layer and two-layer systems

Mathematical and Computer Modelling: An International Journal

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

Journal of Computational Physics

Original Article: High order well-balanced scheme for river flow modeling

Mathematics and Computers in Simulation

A semi-implicit, semi-Lagrangian, p-adaptive discontinuous Galerkin method for the shallow water equations

Journal of Computational Physics

A Non-oscillatory Central Scheme for One-Dimensional Two-Layer Shallow Water Flows along Channels with Varying Width

Journal of Scientific Computing

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

Journal of Computational Physics

Accurate numerical modeling of 1D flow in channels with arbitrary shape. Application of the energy balanced property

Journal of Computational Physics

A 2D extension of a Large Time Step explicit scheme (CFL1) for unsteady problems with wet/dry boundaries

Journal of Computational Physics