Highlights

 

Projects

Over the years, the Rozza Group has contributed to a large number of research projects spanning advanced mathematical modeling, scientific computing, and machine learning. This commitment has led to the development of a broad ecosystem of computational frameworks and methodological platforms, reflecting the group’s ability to combine theoretical research with robust computational tools and enable applications across multiple domains.

 

ROSA

Reduced Order and Surrogate Methods for Advanced Applications

 MUR FIS-3 

2026–2030

 New project 

ROSA is a recent research initiative aimed at advancing surrogate modeling and reduced order methodologies for the simulation of complex physical systems. ROSA will combine data-driven techniques, artificial intelligence, and physics-based modeling to build computationally efficient surrogate models while preserving physical consistency and robustness. Particular attention will be devoted to challenges such as limited or noisy data, uncertainty quantification, and the preservation of fundamental physical properties.

 

ATLAS

Advanced Toolkit for Large-scale Accelerated Simulation in cardiovascular modeling

 ERC Seal of Excellence 

2023–2024

ATLAS is a real-time platform for cardiovascular modeling built on the reduced order modeling and data-driven methods developed within AROMA-CFD. Its purpose is to make advanced cardiovascular simulations more accessible in clinical and research settings through a cloud-based environment with a simple web interface. Available use cases on the platform include the thoracic aorta, carotid artery, aorto-femoral district and coronary circulation. ATLAS supports clinicians and researchers in applications such as diagnosis, treatment planning and personalized medicine, while significantly reducing computational costs and response times. The platform also opens the way to future integrations with technologies such as augmented reality and digital twins for healthcare.

 

ARGOS

Advanced Reduced Groupware Online Simulation

 ERC Proof of Concept 

2022–2024

Developed with the support of Fast Computing, ARGOS is a real-time platform for numerical modeling and data visualization built on top of the methods and software developed within the scope of AROMA-CFD. ARGOS introduced the computational webserver as an intermediate layer in the offline-online paradigm, making reduced order models more accessible through the web. The platform combines advanced machine learning algorithms, cloud computing, and a user-friendly interface, enabling real-time interaction with complex simulations without requiring direct access to the underlying computational infrastructure. ARGOS also includes an educational environment featuring interactive applications focused on dynamic mode decomposition, clustering, Navier-Stokes interpolation, and convective streams.

 

FARE-X-AROMA-CFD

 MUR FARE 

2018–2020

FARE-X-AROMA-CFD expanded the research directions introduced by AROMA-CFD, focusing on advanced numerical methods for parametric partial differential equations in increasingly complex fluid dynamics problems. In particular, the project addressed two major challenges: the reduction of high-dimensional parameter spaces and the development of reduced order methods for compressible flows. These advancements made it possible to tackle more complex aerodynamic and multiphysics applications, including aeroacoustics, turbomachinery and aero-thermo-elasticity, while also improving optimization, flow control and uncertainty quantification workflows. The project further extended the capabilities of ITHACA, strengthening its role as an open-source environment for advanced reduced order modeling.

 

 

AROMA-CFD

Advanced Reduced Order Methods with Applications in Computational Fluid Dynamics

 ERC Consolidator Grant 

2016–2022

AROMA-CFD was dedicated to overcome the limitations of model order reduction techniques and develop applications in industry, medicine, and applied sciences. Involving 15 universities and one Italian hospital, one of its main outcomes was ITHACA (In real Time Highly Advanced Computational Applications), an open-source library designed to support reduced order modeling workflows in computational fluid dynamics, which expanded the educational and training capabilities of RBniCS. AROMA-CFD also led to the consolidation of the online-offline paradigm, which separates the computationally expensive generation of reduced models (online phase, performed with a HPC cluster) from their rapid evaluation in real time (offline phase, performed on a user device).

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Publications

The following publications represent some of the most significant scientific contributions of the Rozza Group. They highlight key methodological advances, influential applications, and research directions that have shaped the group’s work throughout the years.

2025

Mesh-informed Reduced Order Models for aneurysm rupture risk prediction

Journal of Computational and Applied Mathematics

2024

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

Communications in Applied and Industrial Mathematics

2023

An extended physics informed neural network for preliminary analysis of parametric optimal control problems

Computers & Mathematics with Applications

2021

Hull shape design optimization with parameter space and model reductions, and self-learning mesh morphing

Journal of Marine Science and Engineering

2020

Efficient geometrical parametrization for finite-volume-based reduced order methods

International Journal for Numerical Methods in Engineering

2018

Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier–Stokes equations

Computers & Fluids

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CSE Software

 

The Rozza Group has developed a number of open-source software libraries and computational tools designed to translate methodological research into accessible and reusable resources.

 

ITHACA-SEM

Reduced order modeling and data-driven methods for high-fidelity simulations based on spectral element methods

ITHACA-FV

Reduced order modeling for computational fluid dynamics based on finite volume discretizations

RBniCS

Reduced basis methods and model order reduction for parametrized partial differential equations


PyDMD

Dynamic Mode Decomposition techniques for the analysis and forecasting of complex dynamical systems


EZyRB

Accessible reduced order modeling workflows for interpolation, approximation, and parametric studies


PINA

Physics-informed neural networks for differential equations and scientific machine learning

View all software