activity
20122025
most citedHybridisable discontinuous Galerkin formulation of compressible flows

38 citations · 435 across the 22 of their papers we have counts for

collaborators

22 papers

math.NA2025★ 1 cited

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…

physics.flu-dyn2024★ 5 cited

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…

math.NA2020★ 2 cited

Nonintrusive reduced order model for parametric solutions of inertia relief problems

F. Cavaliere, S. Zlotnik, R. Sevilla +2

The Inertia Relief (IR) technique is widely used by industry and produces equilibrated loads allowing to analyze unconstrained systems without resorting to the more expensive full…

physics.flu-dyn2020★ 9 cited

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…

cs.MS2020★ 23 cited

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…

math.NA2020★ 38 cited

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…

math.NA2020★ 18 cited

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…

math.NA2020★ 16 cited

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…

physics.comp-ph2020★ 4 cited

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…

math.NA2020★ 17 cited

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…

math.NA2019★ 1 cited

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…

math.NA2019★ 21 cited

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…

math.NA2019★ 17 cited

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…

math.NA2019★ 28 cited

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…

math.NA2019★ 33 cited

Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM

Vasileios Tsiolakis, Matteo Giacomini, Ruben Sevilla +2

The computational cost of parametric studies currently represents the major limitation to the application of simulation-based engineering techniques in a daily industrial environme…

math.NA2019★ 25 cited

Parametric solutions involving geometry integrated with computer-aided design

Ruben Sevilla, Sergio Zlotnik, Antonio Huerta

The main objective of this work is to describe a general and original approach for computing an off-line solution for a set of parameters describing the geometry of the domain. Tha…

math.NA2018★ 30 cited

A locking-free face-centred finite volume (FCFV) method for linear elasticity

Ruben Sevilla, Matteo Giacomini, Antonio Huerta

A face-centred finite volume (FCFV) method is proposed for the linear elasticity equation. The FCFV is a mixed hybrid formulation, featuring a system of first-order equations, that…

math.NA2018★ 33 cited

A superconvergent HDG method for Stokes flow with strongly enforced symmetry of the stress tensor

Matteo Giacomini, Alexandros Karkoulias, Ruben Sevilla +1

This work proposes a superconvergent hybridizable discontinuous Galerkin (HDG) method for the approximation of the Cauchy formulation of the Stokes equation using same degree of po…

math.NA2018★ 34 cited

A super--convergent hybridisable discontinuous Galerkin method for linear elasticity

Ruben Sevilla, Matteo Giacomini, Alexandros Karkoulias +1

The first super-convergent hybridisable discontinuous Galerkin (HDG) method for linear elastic problems capable of using the same degree of approximation for both the primal and mi…

math.NA2018★ 33 cited

HDG-NEFEM with degree adaptivity for Stokes flows

Ruben Sevilla, Antonio Huerta

The NURBS-enhanced finite element method (NEFEM) combined with a hybridisable discontinuous Galerkin (HDG) approach is presented for the first time. The proposed technique complete…

math.NA2017★ 33 cited

A face-centred finite volume method for second-order elliptic problems

Ruben Sevilla, Matteo Giacomini, Antonio Huerta

This work proposes a novel finite volume paradigm, the face-centred finite volume (FCFV) method. Contrary to the popular vertex (VCFV) and cell (CCFV) centred finite volume methods…

math.NA2012★ 14 cited

Recent Developments in CAD/analysis Integration

H. Lian, S. P. A. Bordas, R. Sevilla +1

For linear elastic problems, it is well-known that mesh generation dominates the total analysis time. Different types of methods have been proposed to directly or indirectly allevi…