activity
20142023
most citedMultilayer shallow water models with locally variable number of layers and semi-implicit time discretization

46 citations · 232 across the 30 of their papers we have counts for

collaborators

33 papers

physics.flu-dyn2023★ 5 cited

On the evolution equations of interfacial variables in two-phase flows

Giuseppe Orlando, Paolo Francesco Barbante, Luca Bonaventura

Many physical situations are characterized by interfaces with a non trivial shape so that relevant geometric features, such as interfacial area, curvature or unit normal vector, ca…

math.NA2023

Domain-specific implementation of high order Discontinuous Galerkin methods in spherical geometry

Kalman Szenes, Niccolò Discacciati, Luca Bonaventura +1

We assess two domain-specific languages included in the GridTools ecosystem as tools for implementing a high-order Discontinuous Galerkin discretization of the shallow water equati…

physics.acc-ph2023

Ensemble Reservoir Computing for Dynamical Systems: Prediction of Phase-Space Stable Region for Hadron Storage Rings

Maxime Casanova, Barbara Dalena, Luca Bonaventura +1

We investigate the ability of an ensemble reservoir computing approach to predict the long-term behaviour of the phase-space region in which the motion of charged particles in hadr…

math.NA2022★ 16 cited

An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement

Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura

We present an accurate and efficient solver for atmospheric dynamics simulations that allows for non-conforming mesh refinement. The model equations are the conservative Euler equa…

math.NA2022

Efficient implicit solvers for models of neuronal networks

Luca Bonaventura, Soledad Fernández-García, Macarena Gómez-Mármol

We introduce economical versions of standard implicit ODE solvers that are specifically tailored for the efficient and accurate simulation of neural networks. These reformulations…

math.NA2021★ 22 cited

An efficient IMEX-DG solver for the compressible Navier-Stokes equations for non-ideal gases

Giuseppe Orlando, Paolo Francesco Barbante, Luca Bonaventura

We propose an efficient, accurate and robust IMEX solver for the compressible Navier-Stokes equation describing non-ideal gases with general equations of state. The method, which i…

math.NA2021★ 14 cited

An efficient and accurate implicit DG solver for the incompressible Navier-Stokes equations

Giuseppe Orlando, Alessandro Della Rocca, Paolo Francesco Barbante +2

We propose an efficient, accurate and robust implicit solver for the incompressible Navier-Stokes equations, based on a DG spatial discretization and on the TR-BDF2 method for time…

math.NA2020

A seamless, extended DG approach for advection-diffusion problems on unbounded domains

Federico Vismara, Tommaso Benacchio, Luca Bonaventura

We propose and analyze a seamless extended Discontinuous Galerkin (DG) discretization of advection-diffusion equations on semi-infinite domains. The semi-infinite half line is spli…

cs.DC2020

Resiliency in Numerical Algorithm Design for Extreme Scale Simulations

Emmanuel Agullo, Mirco Altenbernd, Hartwig Anzt +33

This work is based on the seminar titled ``Resiliency in Numerical Algorithm Design for Extreme Scale Simulations'' held March 1-6, 2020 at Schloss Dagstuhl, that was attended by a…

math.NA2020★ 10 cited

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…

math.NA2020★ 1 cited

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…

stat.ME2020

A novel dowscaling procedure for compositional data in the Aitchison geometry with application to soil texture data

Federico Gatti, Alessandra Menafoglio, Niccolò Togni +4

In this work, we present a novel downscaling procedure for compositional quantities based on the Aitchison geometry. The method is able to naturally consider compositional constrai…

math.NA2020

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,…

math.NA2020

Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems

Luca Bonaventura, Elisabetta Carlini, Elisa Calzola +1

We propose a second order, fully semi-Lagrangian method for the numerical solution of systems of advection-diffusion-reaction equations, which employs a semi-Lagrangian approach to…

math.NA2019★ 13 cited

IsoGeometric Approximations for Electromagnetic Problems in Axisymmetric Domains

Abele Simona, Luca Bonaventura, Carlo de Falco +1

We propose a numerical method for the solution of electromagnetic problems on axisymmetric domains, based on a combination of a spectral Fourier approximation in the azimuthal dire…

physics.flu-dyn2019★ 24 cited

Dynamical p-adaptivity for LES of compressible flows in a high order DG framework

Antonella Abbà, Luca Bonaventura, Alessandro Recanati +1

We investigate the possibility of reducing the computational burden of LES models by employing locally and dynamically adaptive polynomial degrees in the framework of a high order…

math.NA2018

Convergence analysis of a cell centered finite volume diffusion operator on non-orthogonal polyhedral meshes

L. Bonaventura, A. Della Rocca

A simple but successful strategy for building a discrete diffusion operator in finite volume schemes of industrial use is to correct the standard two-point flux approximation with…

physics.flu-dyn2018

Direct and Large Eddy Simulation of three-dimensional non-Boussinesq gravity currents with a high order DG method

Caterina Bassi, Antonella Abbà, Luca Bonaventura +1

We present results of three-dimensional Direct Numerical Simulations (DNS) and Large Eddy Simulations (LES) of turbulent gravity currents with a Discontinuous Galerkin (DG) Finite…

math.NA2018

A seamless extension of DG methods for hyperbolic problems to unbounded domains

T. Benacchio, L. Bonaventura

We consider spectral discretizations of hyperbolic problems on unbounded domains using Laguerre basis functions. Taking as model problem the scalar advection equation, we perform a…

physics.flu-dyn2018★ 2 cited

A priori tests of a novel LES approach to compressible variable density turbulence

Caterina Bassi, Antonella Abbà, Luca Bonaventura +1

We assess the viability of a recently proposed novel approach to LES for compressible variable density flows by means of a priori tests. The a priori tests have been carried out fi…

cs.CE2018★ 9 cited

High order time integrators for the simulation of charged particle motion in magnetic quadrupoles

Abele Simona, Luca Bonaventura, Thomas Pugnat +1

Magnetic quadrupoles are essential components of particle accelerators like the Large Hadron Collider. In order to study numerically the stability of the particle beam crossing a q…

math.NA2018

A conservative implicit multirate method for hyperbolic problems

Ludovica Delpopolo Carciopolo, Luca Bonaventura, Anna Scotti +1

This work focuses on the development of a self adjusting multirate strategy based on an implicit time discretization for the numerical solution of hyperbolic equations, that could…

math.NA2018★ 3 cited

A self adjusting multirate algorithm based on the TR-BDF2 method

Luca Bonaventura, Francesco Casella, Ludovica Delpopolo +1

We propose a self adjusting multirate method based on the TR-BDF2 solver. The potential advantages of using TR-BDF2 as the key component of a multirate framework are highlighted. A…

math.NA2017★ 46 cited

Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization

Luca Bonaventura, Enrique D. Fernández-Nieto, José Garres-Díaz +1

We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal…