Details

Autor(en) / Beteiligte

• Sevilla, Ruben
• Borchini, Luca
• Giacomini, Matteo
• Huerta, Antonio

Titel

Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows

Ist Teil von

• Computer methods in applied mechanics and engineering, 2020-12, Vol.372, p.113397, Article 113397

Ort / Verlag

Amsterdam: Elsevier B.V

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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-order hybridisable discontinuous Galerkin formulation and the proper generalised decomposition rationale to construct an off-line solution for a given set of geometric parameters. The generalised solution contains the information for all the geometric parameters in a user-defined range and it can be used to compute sensitivities. The proposed approach circumvents many of the weaknesses of other approaches based on the proper generalised decomposition for computing generalised solutions of geometrically parametrised problems. Four numerical examples show the optimal mesh convergence properties of the proposed method and demonstrate its applicability in two and three dimensions, with particular emphasis on parametrised flows in microfluidics. •A reduced order model to produce off-line solution for geometrically parametrised Stokes flows.•The PGD rationale is combined with a high-order HDG approach.•The strategy circumvents many difficulties encountered by other PGD approaches when solving geometrically parameterised problems.•Optical convergence properties of the PGD approach are shown using numerical examples.•The potential of the approach is shown using 2D and 3D examples with geometrically parametrised domains.