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20162025
most citedHybridisable discontinuous Galerkin formulation of compressible flows

38 citations · 475 across the 32 of their papers we have counts for

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Showing 2019 · math.NAShow all

6 papers · 2 filters

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★ 12 cited

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…

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…