activity
20182026
most citedA POD-Galerkin reduced order model for a LES filtering approach

60 citations · 308 across the 42 of their papers we have counts for

collaborators

48 papers

math.NA2026

An isotropic recovery-based error estimator algorithm for mesh adaptation in a finite volume environment with application to atmospheric flows

Lander Besabe, Michele Girfoglio, Simona Perotto +2

We develop an Isotropic Recovery-based Error Estimator (IREE) to drive mesh adaptation within a finite volume framework. Recovery-based error estimators are widely used in practice…

math.NA2026

A Quadratic Order Reduction -- Gaussian Process Ordinary Differential Equation framework for the inference of Large Continuous Dynamical Systems

Guglielmo Padula, Michele Girfoglio, Gianluigi Rozza

Forecasting the evolution of complex dynamical systems remains a fundamentally challenging task, primarily due to pronounced nonlinear interactions, high-dimensional state spaces,…

physics.flu-dyn2026

Enhancing the accuracy of under-resolved numerical simulations of atmospheric flows with super resolution

Armin Sheidani, Michele Girfoglio, Annalisa Quaini +1

Super-resolution (SR) techniques based on deep learning have recently emerged as a promising approach to enhance the spatial resolution of computational fluid dynamics simulations…

math.OC2025

On an adjoint-based numerical approach for time-dependent optimal control problems of biomedical interest

Zahra Mirzaiyan, Pierfrancesco Siena, Pasquale Claudio Africa +2

This work develops a rigorous numerical framework for solving time-dependent Optimal Control Problems (OCPs) governed by partial differential equations, with a particular focus on…

math.NA2025

A Review of Equation-Based and Data-Driven Reduced Order Models featuring a Hybrid cardiovascular application

Pierfrancesco Siena, Pasquale Claudio Africa, Michele Girfoglio +1

Cardiovascular diseases are a leading cause of death in the world, driving the development of patient-specific and benchmark models for blood flow analysis. This chapter provides a…

physics.flu-dyn2025

A Deep-Learning Enhanced Gappy Proper Orthogonal Decomposition Method for Conjugate Heat Transfer Problem

Arash Hajisharifi, Rahul Halder, Michele Girfoglio +2

The current study aims to develop a non-intrusive Reduced Order Model (ROM) to reconstruct the full temperature field for a large-scale industrial application based on both numeric…

math.NA2025

Randomized Proper Orthogonal Decomposition for data-driven reduced order modeling of a two-layer quasi-geostrophic ocean model

Lander Besabe, Michele Girfoglio, Annalisa Quaini +1

The two-layer quasi-geostrophic equations (2QGE) serve as a simplified model for simulating wind-driven, stratified ocean flows. However, their numerical simulation remains computa…

math.NA2025

Combining Extended Convolutional Autoencoders and Reservoir Computing for Accurate Reduced-Order Predictions of Atmospheric Flows

Arash Hajisharifi, Michele Girfoglio, Annalisa Quaini +1

Forecasting atmospheric flows with traditional discretization methods, also called full order methods (e.g., finite element methods or finite volume methods), is computationally ex…

physics.flu-dyn2025

On the choice of proper outlet boundary conditions for numerical simulation of cardiovascular flows

Zahra Mirzaiyan, Michele Girfoglio, Gianluigi Rozza

It is well known that in the computational fluid dynamics simulations related to the cardiovascular system the enforcement of outflow boundary conditions is a crucial point. In fac…

math.NA2025

A hybrid Reduced Order Model to enforce outflow pressure boundary conditions in computational haemodynamics

Pierfrancesco Siena, Pasquale Claudio Africa, Michele Girfoglio +1

This paper deals with the development of a Reduced-Order Model (ROM) to investigate haemodynamics in cardiovascular applications. It employs the use of Proper Orthogonal Decomposit…

math.NA2025

Data-driven Optimization for the Evolve-Filter-Relax regularization of convection-dominated flows

Anna Ivagnes, Maria Strazzullo, Michele Girfoglio +2

Numerical stabilization techniques are often employed in under-resolved simulations of convection-dominated flows to improve accuracy and mitigate spurious oscillations. Specifical…

math.NA2024★ 1 cited

Optimal Transport-Based Displacement Interpolation with Data Augmentation for Reduced Order Modeling of Nonlinear Dynamical Systems

Moaad Khamlich, Federico Pichi, Michele Girfoglio +2

We present a novel reduced-order Model (ROM) that leverages optimal transport (OT) theory and displacement interpolation to enhance the representation of nonlinear dynamics in comp…

math.NA2024

Projection-based Reduced Order Modelling for Unsteady Parametrized Optimal Control Problems in 3D Cardiovascular Flows

Surabhi Rathore, Pasquale Claudio Africa, Francesco Ballarin +3

This paper presents a projection-based reduced order modelling (ROM) framework for unsteady parametrized optimal control problems (OCPs) arising from cardiovascular (CV) ap…

math.NA2024

Data-driven reduced order modeling of a two-layer quasi-geostrophic ocean model

Lander Besabe, Michele Girfoglio, Annalisa Quaini +1

The two-layer quasi-geostrophic equations (2QGE) is a simplified model that describes the dynamics of a stratified, wind-driven ocean in terms of potential vorticity and stream fun…

math.NA2024

On the accuracy and efficiency of reduced order models: towards real-world applications

Pierfrancesco Siena, Paquale Claudio Africa, Michele Girfoglio +1

This chapter provides an extended overview about Reduced Order Models (ROMs), with a focus on their features in terms of efficiency and accuracy. In particular, the aim is to brows…

math.NA2024★ 1 cited

A brief review of Reduced Order Models using intrusive and non-intrusive techniques

Guglielmo Padula, Michele Girfoglio, Gianluigi Rozza

Reduced Order Models (ROMs) have gained a great attention by the scientific community in the last years thanks to their capabilities of significantly reducing the computational cos…

physics.flu-dyn2024

Stabilized POD Reduced Order Models for convection-dominated incompressible flows

Pierfrancesco Siena, Michele Girfoglio, Annalisa Quaini +1

We present a comparative computational study of two stabilized Reduced Order Models (ROMs) for the simulation of convection-dominated incompressible flow (Reynolds number of the or…

math.NA2024

Computational study of numerical flux schemes for mesoscale atmospheric flows in a Finite Volume framework

Nicola Clinco, Michele Girfoglio, Annalisa Quaini +1

We develop, and implement in a Finite Volume environment, a density-based approach for the Euler equations written in conservative form using density, momentum, and total energy as…

math.NA2024★ 4 cited

Linear and nonlinear filtering for a two-layer quasi-geostrophic ocean model

Lander Besabe, Michele Girfoglio, Annalisa Quaini +1

Although the two-layer quasi-geostrophic equations (2QGE) are a simplified model for the dynamics of a stratified, wind-driven ocean, their numerical simulation is still plagued by…

math.NA2024

A LSTM-enhanced surrogate model to simulate the dynamics of particle-laden fluid systems

Arash Hajisharifi, Rahul Halder, Michele Girfoglio +3

The numerical treatment of fluid-particle systems is a very challenging problem because of the complex coupling phenomena occurring between the two phases. Although accurate mathem…

physics.flu-dyn2024

A comparative computational study of different formulations of the compressible Euler equations for mesoscale atmospheric flows in a finite volume framework

Michele Girfoglio, Annalisa Quaini, Gianluigi Rozza

We consider three conservative forms of the mildly compressible Euler equations, called CE1, CE2 and CE3, with the goal of understanding which leads to the most accurate and robust…

physics.flu-dyn2023

A Reduced Order Model formulation for left atrium flow: an Atrial Fibrillation case

Caterina Balzotti, Pierfrancesco Siena, Michele Girfoglio +5

A data-driven Reduced Order Model (ROM) based on a Proper Orthogonal Decomposition - Radial Basis Function (POD-RBF) approach is adopted in this paper for the analysis of blood flo…

physics.flu-dyn2023★ 1 cited

A Comparison of Data-Driven Reduced Order Models for the Simulation of Mesoscale Atmospheric Flow

Arash Hajisharifi, Michele Girfoglio, Annalisa Quaini +1

The simulation of atmospheric flows by means of traditional discretization methods remains computationally intensive, hindering the achievement of high forecasting accuracy in shor…

math.NA2023

Filter stabilization for the mildly compressible Euler equations with application to atmosphere dynamics simulations

Nicola Clinco, Michele Girfoglio, Annalisa Quaini +1

We present a filter stabilization technique for the mildly compressible Euler equations that relies on a linear or nonlinear indicator function to identify the regions of the domai…