Abstract The Shallow Water Equations (SWE) are a time-dependent system of non-linear
partial differential equations of hyperbolic type. Flood propagation in rivers and in the …

The one-dimensional kinematic wave (KW) model (KWM) is widely used in surface water
and water quality hydrology as well as for modeling the movement of traffic on long …

This review paper investigates the determinants of modelling choices, for numerous
applications of 1-D free-surface flow and morphodynamic equations in hydrology and …

The diffusive wave model is one of the simplified forms of Saint-Venant equations, and it is
often used instead of the full model. In this paper, we present an analytical solution for the …

Lateral flow L (t) is a major process during flood events, which can be either gains (positive)
or losses (negative) to the channel. The inverse problem consists of evaluating L (t) knowing …

An advection-diffusion model is proposed to simulate large wood transport during high
flows. The mathematical model is derived from the wood mass balance, taking into …

In the paper a solution of two-dimensional (2D) nonlinear diffusive wave equation in a
partially dry and wet domain is considered. The splitting technique which allows to reduce …

This paper presents a study dealing with increasing the computational efficiency in modeling
floodplain inundation using a two-dimensional diffusive wave equation. To this end, the …

An increase in air temperature caused by global climate change has increased the moisture-
holding capacity of the atmosphere. This resulted in an intensification of precipitation …

In the study, the averaging technique of diffusion coefficients in the two-dimensional
nonlinear diffusive wave equation applied to the floodplain inundation is presented. As a …