45 citations · 120 across the 10 of their papers we have counts for
12 papers
Impact of Numerical Fluxes on High Order Semidiscrete WENO-DeC Finite Volume Schemes
Lorenzo Micalizzi, Eleuterio F. Toro
The numerical flux determines the performance of numerical methods for solving hyperbolic partial differential equations (PDEs). In this work, we compare a selection of 8 numerical…
Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations
Saray Busto, Eleuterio F. Toro, Maria Elena Vazquez-Cendon
We construct, analyse and assess various schemes of second order of accuracy in space and time for model advection-diffusion-reaction differential equations. The constructed scheme…
A projection hybrid high order finite volume/finite element method for incompressible turbulent flows
Saray Busto, Jose Luis Ferrin, Eleuterio F. Toro +1
In this paper the projection hybrid FV/FE method presented in Busto et al. 2014 is extended to account for species transport equations. Furthermore, turbulent regimes are also cons…
Nonlinear lumped-parameter models for blood flow simulations in networks of vessels
Beatrice Ghitti, Eleuterio F. Toro, Lucas O. Müller
To address the issue of computational efficiency related to the modelling of blood flow in complex networks, we derive a family of nonlinear lumped-parameter models for blood flow…
A flux-vector splitting scheme for the shallow water equations extended to high-order on unstructured meshes
E. F. Toro, C. Castro, D. Vanzo +1
We present an advection-pressure flux-vector splitting method for the one and two- dimensional shallow water equations following the approach first proposed by Toro and Vázquez for…
A splitting scheme for the coupled Saint-Venant-Exner model
Annunziato Siviglia, Davide Vanzo, Eleuterio F. Toro
We present a splitting method for the one-dimensional Saint-Venant-Exner equations used for describing the bed evolution in shallow water systems. We adapt the flux vector splittin…
Bounds for Wave Speeds in the Riemann Problem: Direct Theoretical Estimates
E. F. Toro, L. O. Müller, A. Siviglia
In this paper we provide bound estimates for the two fastest wave speeds emerging from the solution of the Riemann problem for three well-known hyperbolic systems, namely the Euler…
A numerical method for junctions in networks of shallow-water channels
Francesca Bellamoli, Lucas Omar Müller, Eleuterio Francisco Toro
There is growing interest in developing mathematical models and appropriate numerical methods for problems involving networks formed by, essentially, one-dimensional (1D) domains j…
A one-dimensional mathematical model of collecting lymphatics coupled with an electro-fluid-mechanical contraction model and valve dynamics
Christian Contarino, Eleuterio F. Toro
We propose a one-dimensional model for collecting lymphatics coupled with a novel Electro-Fluid-Mechanical Contraction (EFMC) model for dynamical contractions, based on a modified…
A simple model of filtration and macromolecule transport through microvascular walls
Laura Facchini, Alberto Bellin, Eleuterio F. Toro
Multiple Sclerosis (MS) is a disorder that usually appears in adults in their thirties. It has a prevalence that ranges between 2 and 150 per 100 000. Epidemiological studies of MS…
A new model of filtration and macromolecules transport across capillary walls
Laura Facchini, Alberto Bellin, Eleuterio F. Toro
Metabolic substrates, such as oxygen and glucose, are rapidly delivered to the cell through filtration across microvessels walls. Modelling this important process is complicated by…
High-order finite volume schemes for layered atmospheric models
Dante Kalise, Ivar Lie, Eleuterio F. Toro
We present a numerical scheme for the solution of a class of atmospheric models where high horizontal resolution is required while a coarser vertical structure is allowed. The prop…