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Multigrid Solver Algorithms for DG Methods and Applications to Aerodynamic Flows

Wallraff, Marcel and Hartmann, Ralf and Leicht, Tobias (2015) Multigrid Solver Algorithms for DG Methods and Applications to Aerodynamic Flows. In: IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 128. Springer Verlag. pp. 153-178. doi: 10.1007/978-3-319-12886-3. ISBN 978-3-319-12885-6. ISSN 1612-2909.

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In this chapter we collect results obtained within the IDIHOM project on the development of Discontinuous Galerkin (DG) methods and their application to aerodynamic flows. In particular, we present an application of multigrid algorithms to a higher order DG discretization of the Reynolds-averaged Navier-Stokes (RANS) equations in combination with the Spalart-Allmaras as well as the Wilcox-kw turbulence model. Based on either lower order discretizations or agglomerated coarse meshes the resulting solver algorithms are characterized as p- or h-multigrid, respectively. Linear and nonlinear multigrid algorithms are applied to IDIHOM test cases, namely the L1T2 high lift configuration and the delta wing of the second Vortex Flox Experiment (VFE-2) with rounded leading edge. All presented algorithms are compared to a strongly implicit single grid solver in terms of number of nonlinear iterations and computing time. Furthermore, higher order DG methods are combined with adaptive mesh refinement, in particular, with residual-based and adjoint-based mesh refinement. These adaptive methods are applied to a subsonic and transonic flow around the VFE-2 delta wing.

Item URL in elib:https://elib.dlr.de/98022/
Document Type:Contribution to a Collection
Title:Multigrid Solver Algorithms for DG Methods and Applications to Aerodynamic Flows
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Wallraff, MarcelMarcel.Wallraff (at) dlr.deUNSPECIFIED
Hartmann, RalfRalf.Hartmann (at) dlr.deUNSPECIFIED
Leicht, TobiasTobias.Leicht (at) dlr.deUNSPECIFIED
Journal or Publication Title:IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach
Refereed publication:No
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
DOI :10.1007/978-3-319-12886-3
Page Range:pp. 153-178
EditorsEmailEditor's ORCID iD
Kroll, Norbertnorbert.kroll@dlr.deUNSPECIFIED
Hirsch, CharlesNUMECA, Brussels, BelgiumUNSPECIFIED
Bassi, FrancescoUniversity of Bergamo, ItalyUNSPECIFIED
Johnston, CraigARA, Bedford, UKUNSPECIFIED
Hillewaert, KoenCenaero, BelgiumUNSPECIFIED
Publisher:Springer Verlag
Series Name:Notes on Numerical Fluid Mechanics and Multidisciplinary Design
Keywords:Discontiunous Galerkin methods, RANS equations, p-multigrid, h-multigrid, adaptivity
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 (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Seyfried, Beate
Deposited On:28 Aug 2015 14:25
Last Modified:20 Jun 2021 15:46

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