46 citations · 232 across the 30 of their papers we have counts for
23 papers · 1 filter
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…
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…
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…
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…
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…
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…
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 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,…
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…
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…
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…
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…
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…
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…
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…
A fully semi-Lagrangian discretization for the 2D Navier--Stokes equations in the vorticity--streamfunction formulation
Luca Bonaventura, Roberto Ferretti, Lorenzo Rocchi
A numerical method for the two-dimensional, incompressible Navier--Stokes equations in vorticity--streamfunction form is proposed, which employs semi-Lagrangian discretizations for…
Monotonicity, positivity and strong stability of the TR-BDF2 method and of its SSP extensions
Luca Bonaventura, Alessandro Della Rocca
We analyze the one-step method TR-BDF2 from the point of view of monotonicity, strong stability and positivity. All these properties are strongly related and reviewed in the common…
Local Exponential Methods: a domain decomposition approach to exponential time integration of PDEs
Luca Bonaventura
A local approach to the time integration of PDEs by exponential methods is proposed, motivated by theoretical estimates by A.Iserles on the decay of off-diagonal terms in the expon…
Flux form Semi-Lagrangian methods for parabolic problems
Luca Bonaventura, Roberto Ferretti
A semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonli…
Anisotropic dynamic models for Large Eddy Simulation of compressible flows with a high order DG method
Antonella Abbà, Luca Bonaventura, Michele Nini +1
The impact of anisotropic dynamic models for applications to LES of compressible flows is assessed in the framework of a numerical model based on high order discontinuous finite el…
An accurate and efficient numerical framework for adaptive numerical weather prediction
G. Tumolo, L. Bonaventura
We present an accurate and efficient discretization approach for the adaptive discretization of typical model equations employed in numerical weather prediction. A semi-Lagrangian…
Semi-Lagrangian methods for parabolic problems in divergence form
L. Bonaventura, R. Ferretti
Semi-Lagrangian methods have traditionally been developed in the framework of hyperbolic equations, but several extensions of the Semi-Lagrangian approach to diffusion and advectio…