89 citations · 880 across the 47 of their papers we have counts for
47 papers
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…
Approximate Deconvolution Leray Reduced Order Model for Convection-Dominated Flows
Anna Sanfilippo, Ian Moore, Francesco Ballarin +1
In this paper, we propose a novel ROM stabilization strategy for under-resolved convection-dominated flows, the approximate deconvolution Leray ROM (ADL-ROM). The new ADL-ROM intro…
Mathematical modelling and computational reduction of molten glass fluid flow in a furnace melting basin
Francesco Ballarin, Enrique Delgado Ávila, Andrea Mola +1
In this work, we present the modelling and numerical simulation of a molten glass fluid flow in a furnace melting basin. We first derive a model for a molten glass fluid flow and p…
New Feedback Control and Adaptive Evolve-Filter-Relax Regularization for the Navier-Stokes Equations in the Convection-Dominated Regime
Maria Strazzullo, Francesco Ballarin, Traian Iliescu +1
We propose, analyze, and investigate numerically a novel feedback control strategy for high Reynolds number flows. For both the continuous and the discrete (finite element) setting…
A finite element implementation of finite deformation surface and bulk poroelasticity
Jaemin Kim, Ida Ang, Francesco Ballarin +2
We present a theoretical and computational model for the behavior of a porous solid undergoing two interdependent processes, the finite deformation of a solid and species migration…
Model Order Reduction for Deforming Domain Problems in a Time-Continuous Space-Time Setting
Fabian Key, Max von Danwitz, Francesco Ballarin +1
In the context of simulation-based methods, multiple challenges arise, two of which are considered in this work. As a first challenge, problems including time-dependent phenomena w…
Weighted reduced order methods for uncertainty quantification in computational fluid dynamics
Julien Genovese, Francesco Ballarin, Gianluigi Rozza +1
In this manuscript we propose and analyze weighted reduced order methods for stochastic Stokes and Navier-Stokes problems depending on random input data (such as forcing terms, phy…
Reduced Basis, Embedded Methods and Parametrized Levelset Geometry
Efthymios N. Karatzas, Giovanni Stabile, Francesco Ballarin +1
In this chapter we examine reduced order techniques for geometrical parametrized heat exchange systems, Poisson, and flows based on Stokes, steady and unsteady incompressible Navie…
An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations
Ivan Prusak, Monica Nonino, Davide Torlo +2
The aim of this work is to present a model reduction technique in the framework of optimal control problems for partial differential equations. We combine two approaches used for r…
Elastic membranes spanning deformable boundaries
Francesco Ballarin, Giulia Bevilacqua, Luca Lussardi +1
We perform a variational analysis of an elastic membrane spanning a closed curve which may sustain bending and torsion. First, we deal with parametrized curves and linear elastic m…
Isogeometric Hierarchical Model Reduction for advection-diffusion process simulation in microchannels
Simona Perotto, Gloria Bellini, Francesco Ballarin +3
Microfluidics proved to be a key technology in various applications, allowing to reproduce large-scale laboratory settings at a more sustainable small-scale. The current effort is…
Reduced order modeling for flow and transport problems with Barlow Twins self-supervised learning
Teeratorn Kadeethum, Francesco Ballarin, Daniel O'Malley +3
We propose a unified data-driven reduced order model (ROM) that bridges the performance gap between linear and nonlinear manifold approaches. Deep learning ROM (DL-ROM) using deep-…
Data-driven reduced order modelling for patient-specific hemodynamics of coronary artery bypass grafts with physical and geometrical parameters
Pierfrancesco Siena, Michele Girfoglio, Francesco Ballarin +1
In this work the development of a machine learning-based Reduced Order Model (ROM) for the investigation of hemodynamics in a patient-specific configuration of Coronary Artery Bypa…
Projection based semi--implicit partitioned Reduced Basis Method for non parametrized and parametrized Fluid--Structure Interaction problems
Monica Nonino, Francesco Ballarin, Gianluigi Rozza +1
We present a partitioned Model Order Reduction method for multiphysics problems, that is based on a semi-implicit treatment of the coupling conditions, and on a projection scheme.…
Finite element based model order reduction for parametrized one-way coupled steady state linear thermomechanical problems
Nirav Vasant Shah, Michele Girfoglio, Peregrina Quintela +4
This contribution focuses on the development of Model Order Reduction (MOR) for one-way coupled steady state linear thermomechanical problems in a finite element setting. We apply…
Consistency of the Full and Reduced Order Models for Evolve-Filter-Relax Regularization of Convection-Dominated, Marginally-Resolved Flows
Maria Strazzullo, Michele Girfoglio, Francesco Ballarin +2
Numerical stabilization is often used to eliminate (alleviate) the spurious oscillations generally produced by full order models (FOMs) in under-resolved or marginally-resolved sim…
An artificial neural network approach to bifurcating phenomena in computational fluid dynamics
Federico Pichi, Francesco Ballarin, Gianluigi Rozza +1
This work deals with the investigation of bifurcating fluid phenomena using a reduced order modelling setting aided by artificial neural networks. We discuss the POD-NN approach de…
An optimal control approach to determine resistance-type boundary conditions from in-vivo data for cardiovascular simulations
Elisa Fevola, Francesco Ballarin, Laura Jiménez-Juan +4
The choice of appropriate boundary conditions is a fundamental step in computational fluid dynamics (CFD) simulations of the cardiovascular system. Boundary conditions, in fact, hi…
A monolithic and a partitioned Reduced Basis Method for Fluid-Structure Interaction problems
Monica Nonino, Francesco Ballarin, Gianluigi Rozza
The aim of this work is to present an overview about the combination of the Reduced Basis Method (RBM) with two different approaches for Fluid-Structure Interaction (FSI) problems,…
A Certified Reduced Basis Method for Linear Parametrized Parabolic Optimal Control Problems in Space-Time Formulation
Maria Strazzullo, Francesco Ballarin, Gianluigi Rozza
In this work, we propose to efficiently solve time dependent parametrized optimal control problems governed by parabolic partial differential equations through the certified reduce…
A Reduced basis stabilization for the unsteady Stokes and Navier-Stokes equations
Shafqat Ali, Francesco Ballarin, Gianluigi Rozza
In the Reduced Basis approximation of Stokes and Navier-Stokes problems, the Galerkin projection on the reduced spaces does not necessarily preserved the inf-sup stability even if…
A weighted POD-reduction approach for parametrized PDE-constrained Optimal Control Problems with random inputs and applications to environmental sciences
Giuseppe Carere, Maria Strazzullo, Francesco Ballarin +2
Reduced basis approximations of Optimal Control Problems (OCPs) governed by steady partial differential equations (PDEs) with random parametric inputs are analyzed and constructed.…
Non-intrusive reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation
T. Kadeethum, F. Ballarin, N. Bouklas
We present a non-intrusive model reduction framework for linear poroelasticity problems in heterogeneous porous media using proper orthogonal decomposition (POD) and neural network…
Space-time POD-Galerkin approach for parametric flow control
Francesco Ballarin, Gianluigi Rozza, Maria Strazzullo
In this contribution we propose reduced order methods to fast and reliably solve parametrized optimal control problems governed by time dependent nonlinear partial differential equ…