Two–dimensional optimal classification is performed for two–dimensional shallow water
equations with flat bottom in Cartesian coordinates. In the proof of optimality of subalgebras …

We demonstrate that the streamline‐upwind/Petrov–Galerkin (SUPG) formulation enhanced
with YZβ discontinuity‐capturing, that is, the SUPG‐YZβ formulation, is an efficient and …

The present work focuses on the modeling of transient incompressible two phase flow
during vacuum assisted resin transfer molding (VARTM) in the presence of high permeability …

The aim of this paper is to develop a new second-order accurate central scheme for the
numerical solution of the two-dimensional system of shallow water equations (SWE) …

A new method, with the non-fully mixed coefficient (NFMC) considered, was put forward to
calculate the water environmental carrying capacity (WECC) for huge river-connected lakes …

This study proposes a numerical model for depth-averaged Reynolds equations (shallow-
water equations) to investigate a dam-break problem, based upon a two-dimensional (2D) …

Multidimensional simulators of channel and river flow are widely used in industry and
academia, raising the question about whether the classical one-dimensional theory of open …

We provide a careful Fourier analysis of the Guermond–Pasquetti mass lumping correction
technique (Guermond and Pasquetti, 2013 [11]) applied to pure transport and convection …

Venturi flumes are one of the most important flow-measuring structures commonly
investigated by physical model tests in the past. The solutions to the Venturi flume flow …

A weir installed along a river cross-section potentially serves as a physical barrier that
prevents fishes from migrating toward upstream. Many rivers in the world encounter this …