Langer, Stefan (2013) Point and Line Implicit Methods to Improve the Efficiency and Robustness of the DLR Tau Code. In: New Results in Numerical and Experimental Fluid Mechanics VIII Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol. 121. Springer Verlag. pp. 419-428. ISBN 978-3-642-35679-7. ISSN 1612-2909.
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Abstract
We present a line implicit preconditioned multistage Runge-Katta method to significantly improve the convergence rate for approximating steady state solutions of high Reynolds number viscous flows. The Runge-Katta method is used as a smoother in the context of an agglomarated multigrid method for unstructured grids. A simplification of a first order approximation to the Jacobian of the residual function is used as a preconditioner. Predetermined lines identifying mesh regions of high cell stretching are exploited to extract the relevant parts of the Jacobian matrix. The lines are identified using an efficient algorithm based on a weighted graph. This has the advantage that high aspect ratio cells are determined everywhere in the mesh, for example also in the wake of a wing.
Item URL in elib: | https://elib.dlr.de/82860/ | ||||||||||||||||||
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Document Type: | Contribution to a Collection | ||||||||||||||||||
Title: | Point and Line Implicit Methods to Improve the Efficiency and Robustness of the DLR Tau Code | ||||||||||||||||||
Authors: |
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Date: | 2013 | ||||||||||||||||||
Journal or Publication Title: | New Results in Numerical and Experimental Fluid Mechanics VIII | ||||||||||||||||||
Refereed publication: | Yes | ||||||||||||||||||
Open Access: | No | ||||||||||||||||||
Gold Open Access: | No | ||||||||||||||||||
In SCOPUS: | No | ||||||||||||||||||
In ISI Web of Science: | No | ||||||||||||||||||
Volume: | Vol. 121 | ||||||||||||||||||
Page Range: | pp. 419-428 | ||||||||||||||||||
Editors: |
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Publisher: | Springer Verlag | ||||||||||||||||||
Series Name: | Notes on Numerical Fluid Mechanics and Multidisciplinary Design | ||||||||||||||||||
ISSN: | 1612-2909 | ||||||||||||||||||
ISBN: | 978-3-642-35679-7 | ||||||||||||||||||
Status: | Published | ||||||||||||||||||
Keywords: | Flow solver, point implicit, line implicit, agglomerated multigrid | ||||||||||||||||||
HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||||||||
HGF - Program: | Aeronautics | ||||||||||||||||||
HGF - Program Themes: | Aircraft Research (old) | ||||||||||||||||||
DLR - Research area: | Aeronautics | ||||||||||||||||||
DLR - Program: | L AR - Aircraft Research | ||||||||||||||||||
DLR - Research theme (Project): | L - Simulation & 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: | 08 Jul 2013 09:52 | ||||||||||||||||||
Last Modified: | 27 Feb 2015 11:57 |
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