Shallow-water equations are widely used to model water flow in rivers, lakes, reservoirs,
coastal areas, and other situations in which the water depth is much smaller than the …

This paper develops a higher-order macroscopic model of pedestrian crowd dynamics
derived from fluid dynamics that consists of two-dimensional Euler equations with relaxation …

Shallow water models are widely used to describe and study free‐surface water flow. While
in some practical applications the bottom friction does not have much influence on the …

This article is devoted to the numerical solution of the inviscid two-layer shallow water
system. This system may lose the hyperbolic character when the shear between the layer is …

We develop fifth-order A-WENO finite-difference schemes based on the path-conservative
central-upwind method for nonconservative one-and two-dimensional hyperbolic systems of …

We develop a flux globalization based well-balanced path-conservative central-upwind
scheme for the two-layer thermal rotating shallow water (TRSW) equations, which arise in …

In this paper, we introduce a new approach for constructing robust well-balanced (WB) finite-
volume methods for nonconservative one-dimensional hyperbolic systems of nonlinear …

In the present paper we study shallow water equations with bottom topography and Coriolis
forces. The latter yield non-local potential operators that need to be taken into account in …

This paper focus on the numerical approximation of two-layer shallow water system. First, a
new approximation of the eigenvalues of the system is proposed, which satisfies some …

We develop path-conservative central-upwind schemes for nonconservative one-
dimensional hyperbolic systems of nonlinear partial differential equations. Such systems …