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Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows

Rubén Sevilla Orcid Logo, Luca Borchini, Matteo Giacomini, Antonio Huerta

Computer Methods in Applied Mechanics and Engineering, Volume: 372, Start page: 113397

Swansea University Author: Rubén Sevilla Orcid Logo

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Abstract

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 o...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: Elsevier BV 2020
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa55059
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Abstract: 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.
Keywords: Reduced order model, Geometry parametrisation, Hybridisable discontinuous Galerkin (HDG), Proper generalised decomposition (PGD)
College: College of Engineering
Funders: UKRI, EP/P033997/1
Start Page: 113397