38 citations · 475 across the 32 of their papers we have counts for
32 papers
A surrogate model for topology optimisation of elastic structures via parametric autoencoders
Matteo Giacomini, Antonio Huerta
A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solut…
Noise-robust multi-fidelity surrogate modelling for parametric partial differential equations
Benjamin M. Kent, Lorenzo Tamellini, Matteo Giacomini +1
We address the challenge of constructing noise-robust surrogate models for quantities of interest (QoIs) arising from parametric partial differential equations (PDEs), using multi-…
Characteristic boundary conditions for Hybridizable Discontinuous Galerkin methods
Jan Ellmenreich, Matteo Giacomini, Antonio Huerta +1
In this work we introduce the concept of characteristic boundary conditions (CBCs) within the framework of Hybridizable Discontinuous Galerkin (HDG) methods, including both the Nav…
An OpenFOAM face-centred solver for incompressible flows robust to mesh distortion
Davide Cortellessa, Matteo Giacomini, Antonio Huerta
This work presents an overview of mesh-induced errors commonly experienced by cell-centred finite volumes (CCFV), for which the face-centred finite volume (FCFV) paradigm offers co…
A hybrid pressure formulation of the face-centred finite volume method for viscous laminar incompressible flows
Matteo Giacomini, Davide Cortellessa, Luan M. Vieira +2
This work presents a hybrid pressure face-centred finite volume (FCFV) solver to simulate steady-state incompressible Navier-Stokes flows. The method leverages the robustness, in t…
A face-centred finite volume method for laminar and turbulent incompressible flows
Luan M. Vieira, Matteo Giacomini, Ruben Sevilla +1
This work develops, for the first time, a face-centred finite volume (FCFV) solver for the simulation of laminar and turbulent viscous incompressible flows. The formulation relies…
Data augmentation for the POD formulation of the parametric laminar incompressible Navier-Stokes equations
Alba Muixí, Sergio Zlotnik, Matteo Giacomini +1
A posteriori reduced-order models (ROM), e.g. based on proper orthogonal decomposition (POD), are essential to affordably tackle realistic parametric problems. They rely on a trust…
An unfitted high-order HDG method for two-fluid Stokes flow with exact NURBS geometries
Stefano Piccardo, Matteo Giacomini, Antonio Huerta
A high-order, degree-adaptive hybridizable discontinuous Galerkin (HDG) method is presented for two-fluid incompressible Stokes flows, with boundaries and interfaces described usin…
An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition
Marco Discacciati, Ben J. Evans, Matteo Giacomini
A non-intrusive proper generalized decomposition (PGD) strategy, coupled with an overlapping domain decomposition (DD) method, is proposed to efficiently construct surrogate models…
Benchmarking the face-centred finite volume method for compressible laminar flows
Jordi Vila-Pérez, Matteo Giacomini, Antonio Huerta
Purpose: This study aims to assess the robustness and accuracy of the face-centred finite volume (FCFV) method for the simulation of compressible laminar flows in different regimes…
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information
Matteo Giacomini, Simona Perotto
A finite element-based image segmentation strategy enhanced by an anisotropic mesh adaptation procedure is presented. The methodology relies on a split Bregman algorithm for the mi…
A non-oscillatory face-centred finite volume method for compressible flows
Jordi Vila-Pérez, Matteo Giacomini, Ruben Sevilla +1
This work presents the face-centred finite volume (FCFV) paradigm for the simulation of compressible flows. The FCFV method defines the unknowns at the face barycentre and uses a h…
HDGlab: An open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB
Matteo Giacomini, Ruben Sevilla, Antonio Huerta
This paper presents HDGlab, an open source MATLAB implementation of the hybridisable discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of both…
Hybridisable discontinuous Galerkin formulation of compressible flows
Jordi Vila-Pérez, Matteo Giacomini, Ruben Sevilla +1
This work presents a review of high-order hybridisable discontinuous Galerkin (HDG) methods in the context of compressible flows. Moreover, an original unified framework for the de…
A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems
Andrea La Spina, Martin Kronbichler, Matteo Giacomini +2
A scheme for the solution of fluid-structure interaction (FSI) problems with weakly compressible flows is proposed in this work. A novel hybridizable discontinuous Galerkin (HDG) m…
Separated response surfaces for flows in parametrised domains: comparison of a priori and a posteriori PGD algorithms
Matteo Giacomini, Luca Borchini, Ruben Sevilla +1
Reduced order models (ROM) are commonly employed to solve parametric problems and to devise inexpensive response surfaces to evaluate quantities of interest in real-time. There are…
Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
Ruben Sevilla, Luca Borchini, Matteo Giacomini +1
This paper proposes a novel computational framework for the solution of geometrically parametrised flow problems governed by the Stokes equation. The proposed method uses a high-or…
Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition
Vasileios Tsiolakis, Matteo Giacomini, Ruben Sevilla +2
An a priori reduced order method based on the proper generalised decomposition (PGD) is proposed to compute parametric solutions involving turbulent incompressible flows of interes…
A second-order face-centred finite volume method on general meshes with automatic mesh adaptation
Matteo Giacomini, Ruben Sevilla
A second-order face-centred finite volume strategy on general meshes is proposed. The method uses a mixed formulation in which a constant approximation of the unknown is computed o…
An HLL Riemann solver for the hybridised discontinuous Galerkin formulation of compressible flows
Jordi Vila-Pérez, Matteo Giacomini, Ruben Sevilla +1
This work proposes a high-order hybridised discontinuous Galerkin (HDG) formulation of the Harten-Lax-Van Leer (HLL) Riemann solver for compressible flows. A unified framework is i…
Tutorial on Hybridizable Discontinuous Galerkin (HDG) Formulation for Incompressible Flow Problems
Matteo Giacomini, Ruben Sevilla, Antonio Huerta
A hybridizable discontinuous Galerkin (HDG) formulation of the linearized incompressible Navier-Stokes equations, known as Oseen equations, is presented. The Cauchy stress formulat…
Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity
Matteo Giacomini, Ruben Sevilla
Discontinuous Galerkin (DG) discretizations with exact representation of the geometry and local polynomial degree adaptivity are revisited. Hybridization techniques are employed to…
A second-order face-centred finite volume method for elliptic problems
Luan M Vieira, Matteo Giacomini, Ruben Sevilla +1
A second-order face-centred finite volume method (FCFV) is proposed. Contrary to the more popular cell-centred and vertex-centred finite volume (FV) techniques, the proposed method…
Hybrid coupling of CG and HDG discretizations based on Nitsche's method
Andrea La Spina, Matteo Giacomini, Antonio Huerta
A strategy to couple continuous Galerkin (CG) and hybridizable discontinuous Galerkin (HDG) discretizations based only on the HDG hybrid variable is presented for linear thermal an…