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Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows

Author
Sevilla, R.; Borchini, L.; Giacomini, M.; Huerta, A.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2020-12-01
Volume
372
Number
113397
First page
113397
DOI
10.1016/j.cma.2020.113397
Project funding
Data assimilation for credible engineering simulations
Empowered decision-making in simulation-based engineering: advanced model reduction for real-time, inverse and optimization in industrial problems
Repository
http://hdl.handle.net/2117/328743 Open in new window
https://arxiv.org/pdf/2006.11846.pdf Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S004578252030582X Open in new window
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 sensi...
Citation
Sevilla, R. [et al.]. Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows. "Computer methods in applied mechanics and engineering", 1 Desembre 2020, vol. 372, núm. 113397, p. 113397.
Keywords
Geometry parametrisation, Hybridisable discontinuous Galerkin (HDG), Proper generalised decomposition (PGD), Reduced order model
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants