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9 papers · 2 filters
The Mixed Virtual Element Method on curved edges in two dimensions
Franco Dassi, Alessio Fumagalli, Davide Losapio +3
In this work, we propose an extension of the mixed Virtual Element Method (VEM) for bi-dimensional computational grids with curvilinear edge elements. The approximation by means of…
Flexible and efficient discretizations of multilayer models with variable density
Luca Bonaventura, José Garres-Díaz
We show that the semi-implicit time discretization approaches previously introduced for multilayer shallow water models for the barotropic case can be also applied to the variable…
The TR-BDF2 method for second order problems in structural mechanics
L. Bonaventura, M. Gomez Marmol
The application of the TR-BDF2 method to second order problems typical of structural mechanics and seismic engineering is discussed. A reformulation of this method is presented, th…
A mathematical model for thermal single-phase flow and reactive transport in fractured porous media
Alessio Fumagalli, Anna Scotti
In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of…
A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies
Caterina Bassi, Luca Bonaventura, Saray Busto Ulloa +1
We present a novel hyperbolic reformulation of the Serre-Green-Naghdi (SGN) model for the description of dispersive water waves. Contrarily to the classical Boussinesq-type models,…
A Hybrid High-Order method for creeping flows of non-Newtonian fluids
Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro +1
In this paper, we design and analyze a Hybrid High-Order discretization method for the steady motion of non-Newtonian, incompressible fluids in the Stokes approximation of small ve…