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An agglomeration-based adaptive Discontinuous Galerkin method for compressible flows

Zenoni, Giacomo and Leicht, Tobias and Colombo, Alessandro and Botti, Lorenzo (2017) An agglomeration-based adaptive Discontinuous Galerkin method for compressible flows. International Journal for Numerical Methods in Fluids. Wiley. DOI: 0.1002/fld.4390 ISSN 0271-2091

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Official URL: http://dx.doi.org/10.1002/fld.4390

Abstract

In this work we exploit the possibility to devise Discontinuous Galerkin discretizations over polytopic grids to perform grid adaptation strategies based on agglomeration coarsening of a fine grid obtained via standard unstructured mesh generators. The adaptive agglomeration process is here driven by an adjoint-based error estimator. We investigate several strategies for converting the error field estimated solving the adjoint problem into an agglomeration factor field, that is an indication of the number of elements of the fine grid that should be clustered together to form an agglomerated element. As a result the size of agglomerated elements is optimized for the achievement of the best accuracy for given grid size with respect to the target quantities. To demonstrate the potential of this strategy we consider problem-specific outputs of interest typical of aerodynamics, e.g. the lift and drag coefficients in the context of inviscid and viscous flows test cases.

Item URL in elib:https://elib.dlr.de/112310/
Document Type:Article
Additional Information:published online
Title:An agglomeration-based adaptive Discontinuous Galerkin method for compressible flows
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Zenoni, GiacomoUniversità degli Studi di Bergamo, Dipertimento di Ingegneria e Scienze Applicate, ItalyUNSPECIFIED
Leicht, Tobiastobias.leicht (at) dlr.deUNSPECIFIED
Colombo, AlessandroUniversità degli Studi di Bergamo, Dipertimento di Ingegneria e Scienze Applicate, ItalyUNSPECIFIED
Botti, LorenzoUniversità degli Studi di Bergamo, Dipertimento di Ingegneria e Scienze Applicate, ItalyUNSPECIFIED
Date:5 June 2017
Journal or Publication Title:International Journal for Numerical Methods in Fluids
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
DOI :0.1002/fld.4390
Publisher:Wiley
ISSN:0271-2091
Status:Published
Keywords:discontinuous Galerkin methods compressible Euler and Navier–Stokes equations adjoint problem h-adaptivity agglomerated meshes aerodynamics
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation and Validation
Location: Braunschweig
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > CASE, BS
Deposited By: Leicht, Tobias
Deposited On:06 Jun 2017 13:15
Last Modified:31 Jul 2019 20:09

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