Langer, Stefan (2018) Preconditioned Newton methods to approximate solutions of the Reynolds averaged Navier-Stokes equations. DLR-Forschungsbericht. DLR-FB-2018-19. Habilitation. Institut für Aerodynamik und Strömungstechnik. 274 S.
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Abstract
We consider nonlinear agglomeration multigrid methods tailored to the efficient and robust solution of boundary value problems corresponding to the Reynolds averaged Navier-Stokes equations for the simulation of high Reynolds number turbulent flows. The presented solution algorithms are based on nonlinear agglomeration multigrid methods including implicit Runge-Kutta smoothers. The final formulation of these methods allows to interpret these smoothers as kinds of stabilized preconditioned Newton methods. The application of simplifications is used to derive almost all solution methods well known in the world of computational fluid dynamics. This hierarchy of methods gives insight in the potential and shortcomings of several established methods. To get a deeper understanding of the methods an analysis tool is suggested to evaluate certain smoothers. Several examples are presented to show the potential and shortcomings of certain methods derived in this thesis. Comparisons are done with respect to both robustness and efficiency of the scheme.
Item URL in elib: | https://elib.dlr.de/121515/ | ||||||
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Document Type: | Monograph (DLR-Forschungsbericht, Habilitation) | ||||||
Title: | Preconditioned Newton methods to approximate solutions of the Reynolds averaged Navier-Stokes equations | ||||||
Authors: |
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Date: | 20 June 2018 | ||||||
Refereed publication: | Yes | ||||||
Open Access: | Yes | ||||||
Gold Open Access: | No | ||||||
In SCOPUS: | No | ||||||
In ISI Web of Science: | No | ||||||
Number of Pages: | 274 | ||||||
Publisher: | Deutschen Zentrum für Luft-und Raumfahrt | ||||||
ISSN: | 1434-8454 | ||||||
Status: | Published | ||||||
Keywords: | RANS equations, preconditioned Newton method, nonlinear and linear multigrid, low Mach number flows, stability analysis | ||||||
Institution: | Institut für Aerodynamik und Strömungstechnik | ||||||
Department: | CASE | ||||||
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 - VicToria (old) | ||||||
Location: | Braunschweig | ||||||
Institutes and Institutions: | Institute for Aerodynamics and Flow Technology > CASE, BS | ||||||
Deposited By: | Langer, Dr.rer.nat. Stefan | ||||||
Deposited On: | 11 Sep 2018 14:05 | ||||||
Last Modified: | 31 Jul 2019 20:19 |
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