activity
20172026
most citedFinite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations

221 citations · 1.1k across the 59 of their papers we have counts for

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51 papers · 1 filter

math.NA2026

A Nonlinear Physics-based Reduced Order Model with Convolutional-based Operator Compression

Anna Ivagnes, Giovanni Stabile, Gianluigi Rozza

Reduced-order models (ROMs) are widely used to accelerate the solution of parametrized partial differential equations, with projection-based methods relying on a linear representat…

math.NA2026

An efficient hyper reduced-order model for segregated solvers for geometrical parametrization problems

Valentin Nkana Ngan, Giovanni Stabile, Andrea Mola +1

We propose an efficient hyper-reduced order model (HROM) designed for segregated finite-volume solvers in geometrically parametrized problems. The method follows a discretize-then-…

math.NA2025

ROM for Viscous, Incompressible Flow in Polygons -- exponential -width bounds and convergence rate

Francesco Romor, Federico Pichi, Giovanni Stabile +2

We demonstrate exponential convergence of Reduced Order Model (ROM) approximations for mixed boundary value problems of the stationary, incompressible Navier-Stokes equations in pl…

math.NA2025

Coupling Physics Informed Neural Networks with External Solvers

Rahul Halder, Giovanni Stabile, Gianluigi Rozza

The current work aims to incorporate physics-based loss in Physics Informed Neural Network (PINN) directly using the numerical residual obtained from the governing equation in any…

math.NA2025

A new data-driven energy-stable Evolve-Filter-Relax model for turbulent flow simulation

Anna Ivagnes, Toby van Gastelen, Syver Døving Agdestein +3

We present a novel approach to define the filter and relax steps in the evolve-filter-relax (EFR) framework for simulating turbulent flows. The EFR main advantages are its ease of…

math.NA2025

Exact operator inference with minimal data

Henrik Rosenberger, Benjamin Sanderse, Giovanni Stabile

This work introduces a novel method to generate snapshot data for operator inference that guarantees the exact reconstruction of intrusive projection-based reduced-order models (RO…

math.NA2025

Data-driven Closure Strategies for Parametrized Reduced Order Models via Deep Operator Networks

Anna Ivagnes, Giovanni Stabile, Gianluigi Rozza

In this paper, we propose an equation-based parametric Reduced Order Model (ROM), whose accuracy is improved with data-driven terms added into the reduced equations. These addition…

math.NA2025★ 1 cited

Model Reduction for Transport-Dominated Problems via Cross-Correlation Based Snapshot Registration

Harshith Gowrachari, Giovanni Stabile, Gianluigi Rozza

Traditional linear approximation methods, such as proper orthogonal decomposition and the reduced basis method, are ill-suited for transport-dominated problems due to the slow deca…

math.NA2024★ 1 cited

Stochastic Parameter Prediction in Cardiovascular Problems

Kabir Bakhshaei, Sajad Salavatidezfouli, Giovanni Stabile +1

Patient-specific modeling of cardiovascular flows with high-fidelity is challenging due to its dependence on accurately estimated velocity boundary profiles, which are essential fo…

math.NA2024

Non-intrusive model reduction of advection-dominated hyperbolic problems using neural network shift augmented manifold transformation

Harshith Gowrachari, Nicola Demo, Giovanni Stabile +1

Advection-dominated problems are predominantly noticed in nature, engineering systems, and various industrial processes. Traditional linear compression methods, such as proper orth…

math.NA2024

Parametric Intrusive Reduced Order Models enhanced with Machine Learning Correction Terms

Anna Ivagnes, Giovanni Stabile, Gianluigi Rozza

In this paper, we propose an equation-based parametric Reduced Order Model (ROM), whose accuracy is improved with data-driven terms added into the reduced equations. These addition…

math.NA2024

Optimized Bayesian Framework for Inverse Heat Transfer Problems Using Reduced Order Methods

Kabir Bakhshaei, Umberto Emil Morelli, Giovanni Stabile +1

A stochastic inverse heat transfer problem is formulated to infer the transient heat flux, treated as an unknown Neumann boundary condition. Therefore, an Ensemble-based Simultaneo…

math.NA2024★ 1 cited

A Predictive Surrogate Model for Heat Transfer of an Impinging Jet on a Concave Surface

Sajad Salavatidezfouli, Saeid Rakhsha, Armin Sheidani +2

This paper aims to comprehensively investigate the efficacy of various Model Order Reduction (MOR) and deep learning techniques in predicting heat transfer in a pulsed jet impingin…

math.NA2023

Physics Informed Neural Network Framework for Unsteady Discretized Reduced Order System

Rahul Halder, Giovanni Stabile, Gianluigi Rozza

This work addresses the development of a physics-informed neural network (PINN) with a loss term derived from a discretized time-dependent reduced-order system. In this work, first…

math.NA2023★ 2 cited

Modal Analysis of the Wake Shed Behind a Horizontal Axis Wind Turbine with Flexible Blades

Sajad Salavatidezfouli, Armin Sheidani, Kabir Bakhshaei +4

The proper orthogonal decomposition has been applied on a full-scale horizontal-axis wind turbine to shed light on the wake characteristics behind the wind turbine. In reality, the…

math.NA2023★ 8 cited

Deep Reinforcement Learning for the Heat Transfer Control of Pulsating Impinging Jets

Sajad Salavatidezfouli, Giovanni Stabile, Gianluigi Rozza

This research study explores the applicability of Deep Reinforcement Learning (DRL) for thermal control based on Computational Fluid Dynamics. To accomplish that, the forced convec…

math.NA2023

Generative Models for the Deformation of Industrial Shapes with Linear Geometric Constraints: model order and parameter space reductions

Guglielmo Padula, Francesco Romor, Giovanni Stabile +1

Real-world applications of computational fluid dynamics often involve the evaluation of quantities of interest for several distinct geometries that define the computational domain…

math.NA2023★ 2 cited

Explicable hyper-reduced order models on nonlinearly approximated solution manifolds of compressible and incompressible Navier-Stokes equations

Francesco Romor, Giovanni Stabile, Gianluigi Rozza

A slow decaying Kolmogorov n-width of the solution manifold of a parametric partial differential equation precludes the realization of efficient linear projection-based reduced-ord…

math.NA2023★ 2 cited

A physics-based reduced order model for urban air pollution prediction

Moaad Khamlich, Giovanni Stabile, Gianluigi Rozza +2

This article presents an innovative approach for developing an efficient reduced-order model to study the dispersion of urban air pollutants. The need for real-time air quality mon…

math.NA2023★ 2 cited

A reduced-order model for segregated fluid-structure interaction solvers based on an ALE approach

Valentin Nkana Ngan, Giovanni Stabile, Andrea Mola +1

This article presents a Galerkin projection-based reduced-order modelling (ROM) approach for segregated fluid-structure interaction (FSI) problems, formulated within an Arbitrary L…

math.NA2023★ 2 cited

Applicable Methodologies for the Mass Transfer Phenomenon in Tumble Dryers: A Review

Sajad Salavatidezfouli, Arash Hajisharifi, Michele Girfoglio +2

Tumble dryers offer a fast and convenient way of drying textiles independent of weather conditions and therefore are frequently used in ordinary households. However, artificial dry…

math.NA2023

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…

math.NA2023

A two stages Deep Learning Architecture for Model Reduction of Parametric Time-Dependent Problems

Isabella Carla Gonnella, Martin W. Hess, Giovanni Stabile +1

Parametric time-dependent systems are of a crucial importance in modeling real phenomena, often characterized by non-linear behaviors too. Those solutions are typically difficult t…

math.NA2022★ 62 cited

Assessment of URANS and LES Methods in Predicting Wake Shed Behind a Vertical Axis Wind Turbine

Armin Sheidani, Sajad Salavatidezfouli, Giovanni Stabile +1

In order to shed light on the Vertical-Axis Wind Turbines (VAWT) wake characteristics, in this paper we present high-fidelity CFD simulations of the flow around an exemplary H-shap…