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

collaborators
Showing 2019Show all

8 papers · 1 filter

math.NA2019

A novel iterative penalty method to enforce boundary conditions in Finite Volume POD-Galerkin reduced order models for fluid dynamics problems

S. Kelbij Star, Giovanni Stabile, Francesco Belloni +2

A Finite-Volume based POD-Galerkin reduced order model is developed for fluid dynamics problems where the (time-dependent) boundary conditions are controlled using two different bo…

math.NA2019★ 23 cited

Basic Ideas and Tools for Projection-Based Model Reduction of Parametric Partial Differential Equations

Gianluigi Rozza, Martin Hess, Giovanni Stabile +2

We provide first the functional analysis background required for reduced order modeling and present the underlying concepts of reduced basis model reduction. The projection-based m…

math.NA2019

Bayesian identification of a projection-based Reduced Order Model for Computational Fluid Dynamics

Giovanni Stabile, Bojana Rosic

In this paper we propose a Bayesian method as a numerical way to correct and stabilise projection-based reduced order models (ROM) in computational fluid dynamics problems. The app…

math.NA2019★ 35 cited

A Reduced-Order Shifted Boundary Method for Parametrized incompressible Navier-Stokes equations

Efthymios N. Karatzas, Giovanni Stabile, Leo Nouveau +2

We investigate a projection-based reduced-order model of the steady incompressible Navier-Stokes equations for moderate Reynolds numbers. In particular, we construct an "embedded"…

math.NA2019★ 220 cited

Data-Driven POD-Galerkin Reduced Order Model for Turbulent Flows

Saddam Hijazi, Giovanni Stabile, Andrea Mola +1

In this work we present a Reduced Order Model which is specifically designed to deal with turbulent flows in a finite volume setting. The method used to build the reduced order mod…

math.NA2019

A Hybrid Reduced Order Method for Modelling Turbulent Heat Transfer Problems

Sokratia Georgaka, Giovanni Stabile, Kelbij Star +2

A parametric, hybrid reduced order model approach based on the Proper Orthogonal Decomposition with both Galerkin projection and interpolation based on Radial Basis Functions metho…

math.NA2019★ 2 cited

Non-Intrusive Polynomial Chaos Method Applied to Full-Order and Reduced Problems in Computational Fluid Dynamics: a Comparison and Perspectives

Saddam Hijazi, Giovanni Stabile, Andrea Mola +1

In this work, Uncertainty Quantification (UQ) based on non-intrusive Polynomial Chaos Expansion (PCE) is applied to the CFD problem of the flow past an airfoil with parameterized a…

math.NA2019★ 1 cited

Efficient Geometrical parametrization for Finite-Volume based Reduced Order Methods

Giovanni Stabile, Matteo Zancanaro, Gianluigi Rozza

In this work, we present an approach for the efficient treatment of parametrized geometries in the context of POD-Galerkin reduced order methods based on Finite Volume full order a…