A new exact Riemann solver for the shallow water equations with a discontinuous bottom is
proposed. The algorithm is based on the approach to overcome the non-uniqueness of the …

The Riemann problem for the shallow water equations with discontinuous topography is
considered. In a general case the exact solution of this problem is not unique, which …

The general solution of the dam-break problem with partial uplift of the sluice-gate is
presented in the framework of the one-dimensional Shallow-Water Equations, under the …

The present work describes a procedure for the evaluation of the optimal number, position,
configuration, and sizes of detention tanks in urban drainage networks, to decrease the …

The work proposes and discusses a theoretical approach to predict the behavior of an open-
channel supercritical flow that overpasses a step, either forward or backward facing, non …

Abstract The Porous Shallow water Equations are commonly used to evaluate the
propagation of flooding waves in the urban environment. These equations may exhibit not …

Abstract The Shallow Water equations model is commonly used to reproduce a wide variety
of environmental flows. Its applications include river hydraulics and flood forecasting …

A novel augmented Riemann Solver capable of handling porosity discontinuities in 1D and
2D Shallow Water Equation (SWE) models is presented. With the aim of accurately …

Physics‐informed neural networks (PINNs) are gaining attention as an alternative approach
to solve scientific problems governed by differential equations. This work aims at assessing …

В монографии излагаются оригинальные эффективные алгоритмы численного
решения уравнений мелкой воды, из которых в первую очередь следует выделить …