A new open source multi-GPU 2D flood model called TRITON is presented in this work. The
model solves the 2D shallow water equations with source terms using a time-explicit first …

Extensions to the Roe and HLL method have been previously formulated in order to solve
the Shallow Water equations in the presence of source terms. These were named the …

Mud/debris flows are among the most challenging gravity-driven flows in environmental and
geophysical processes. Natural muddy slurries and debris are solid-laden fluids where the …

We herein present a novel methodology to construct very high order well-balanced schemes
for the computation of the Euler equations with gravitational source term, with application to …

This paper presents a finite volume scheme on structured grids to simulate shallow flows
over complex terrain. The situation of shallow downhill flow over a step is particularly …

In recent years, mountainous areas in China have faced frequent geological hazards,
including landslides, debris flows, and collapses. Effective simulation of these events …

In the context of two-dimensional models for complex geophysical surface flows such as
debris flows, muddy slurries, oil spills over land, hyperconcentrated floods, lava flows, etc …

The bedload transport system of equations, composed by the two-dimensional shallow
water equations for the free surface flow motion and the 2D Exner or bedload transport …

Turbulent shallow flows are characterized by the presence of horizontal large-scale vortices,
caused by local variations of the velocity field. Apart from these 2D large vortices, small …

Reduced-order models (ROMs) based on the proper orthogonal decomposition have been
proposed to reduce the computational resources required by the full-order models (FOMs) to …