This review paper addresses the so called geometric multiscale approach for the numerical
simulation of blood flow problems, from its origin (that we can collocate in the second half …

Abstract Domain decomposition (DD) is a powerful approach to numerically solve partial
differential equations, and it has become popular and indispensable in simulations of fluid …

A 1D–2D coupled numerical model is presented in this work. 1D and 2D models are
formulated using a conservative upwind cell-centred finite volume scheme. The …

Coupled 1D–2D numerical strategies are presented in this work for their application to fast
computation of large rivers flooding. Both 1D and 2D models are built using explicit upwind …

Some engineering applications, for instance those related to fluid dynamics in pipe or
channel networks, feature a dominant spatial direction along which the most relevant …

In the present paper we propose reduced order methods as a reliable strategy to efficiently
solve parametrized optimal control problems governed by shallow waters equations in a …

This paper presents a new method, the water stage prediction-correction (WSPC) method,
based on the theory of characteristics to couple numerical models in the boundary …

In this paper we propose a surrogate model for advection–diffusion–reaction problems
characterized by a dominant direction in their dynamics. We resort to a hierarchical model …

In the present study, a novel technique, which involves numerical computation of the mixing
length of algae particles in raceway ponds, was used to evaluate the mixing process. A …

In the context of hydrodynamic modeling, the use of 2D models is adapted in areas where
the flow is not mono-dimensional (confluence zones, flood plains). Nonetheless the lack of …