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20172025
most citedHybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows

16 citations · 24 across the 4 of their papers we have counts for

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Showing 2019 · math.NAShow all

6 papers · 2 filters

math.NA2019

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

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

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

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

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

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…