activity
20212025
most citedAn efficient IMEX-DG solver for the compressible Navier-Stokes equations for non-ideal gases

22 citations · 85 across the 13 of their papers we have counts for

collaborators

14 papers

math.NA2025

Improving the scalability of a high-order atmospheric dynamics solver based on the deal.II library

Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura

We present recent advances on the massively parallel performance of a numerical scheme for atmosphere dynamics applications based on the deal.II library. The implicit-explicit disc…

cs.CE2025

High-order adaptive discontinuous finite elements for the shallow water equations with sub-grid irregular bathymetry

Luca Arpaia, Giuseppe Orlando, Christian Ferrarin +1

We present a discontinuous finite element method for the shallow water equations which exploits high-resolution realistic bathymetry data without any regularity assumption, also in…

math.NA2024★ 1 cited

Efficient and scalable atmospheric dynamics simulations using non-conforming meshes

Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura

We present the massively parallel performance of a -adaptive solver for atmosphere dynamics that allows for non-conforming mesh refinement. The numerical method is based on a Di…

physics.ao-ph2024★ 4 cited

Impact of curved elements for flows over orography with a Discontinuous Galerkin scheme

Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura

We present a quantitative assessment of the impact of high-order mappings on the simulation of flows over complex orography. Curved boundaries were not used in early numerical meth…

math.NA2024

Asymptotic-preserving IMEX schemes for the Euler equations of non-ideal gases

Giuseppe Orlando, Luca Bonaventura

We analyze schemes based on a general Implicit-Explicit (IMEX) time discretization for the compressible Euler equations of gas dynamics, showing that they are asymptotic-preserving…

physics.ao-ph2024★ 5 cited

Robust and accurate simulations of flows over orography using non-conforming meshes

Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura

We systematically validate the static local mesh refinement capabilities of a recently proposed IMEX-DG scheme implemented in the framework of the deal.II library. Non-conforming m…

physics.flu-dyn2024

A comparison of different approaches to compute surface tension contribution in incompressible two-phase flows

Giuseppe Orlando, Paolo Francesco Barbante, Luca Bonaventura

We perform a quantitative assessment of different strategies to compute the contribution due to surface tension in incompressible two-phase flows using a conservative level set (CL…

stat.AP2023★ 2 cited

Modeling Volatility of Disaster-Affected Populations: A Non-Homogeneous Geometric-Skew Brownian Motion Approach

Giacomo Ascione, Michele Bufalo, Giuseppe Orlando

This paper delves into the impact of natural disasters on affected populations and underscores the imperative of reducing disaster-related fatalities through proactive strategies.…

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★ 9 cited

An implicit DG solver for incompressible two-phase flows with an artificial compressibility formulation

Giuseppe Orlando

We propose an implicit Discontinuous Galerkin (DG) discretization for incompressible two-phase flows using an artificial compressibility formulation. The conservative level set (CL…

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★ 7 cited

A filtering monotonization approach for DG discretizations of hyperbolic problems

Giuseppe Orlando

We introduce a filtering technique for Discontinuous Galerkin approximations of hyperbolic problems. Following an approach already proposed for the Hamilton-Jacobi equations by oth…

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…