A non-intrusive reduced-basis (RB) method is proposed for parametrized unsteady flows. A
set of reduced basis functions are extracted from a collection of high-fidelity solutions via a …

A one-dimensional model has been established to simulate the fluvial processes under dam-
break flow over movable beds. The hydrodynamic model adopts the generalized shallow …

A second-order hybrid type of total variation diminishing (TVD) finite-difference scheme is
investigated for solving dam-break problems. The scheme is based upon the first-order …

An unstructured high-resolution, node-centered finite volume algorithm for triangular grids is
developed in order to simulate unsteady, two-dimensional, shallow water flows over …

An upwind conservative scheme with a weighted average water-surface-gradient approach
is proposed to compute one-dimensional open channel flows. The numerical scheme is …

A 1D finite-volume model has been established to simulate the nonequilibrium transport of
nonuniform sediment with transient flows, such as dam-break flow and overtopping flow …

Numerical methods have become well established as tools for solving problems in hydraulic
engineering. In recent years the finite volume method (FVM) with shock capturing …

A generalization and extension of a finite difference method for calculating numerical
solutions of the two dimensional shallow water system of equations is investigated. A …

Finite volume (FV) methods for solving the two-dimensional (2D) nonlinear shallow water
equations (NSWE) with source terms on unstructured, mostly triangular, meshes are known …

New integral, finite-volume forms of the Saint-Venant equations for one-dimensional (1-D)
open-channel flow are derived. The new equations are in the flux-gradient conservation …