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Computer aided analysis of preconditioned multistage Runge-Kutta methods applied to solve the compressible Reynolds averaged Navier-Stokes equations

Langer, Stefan (2016) Computer aided analysis of preconditioned multistage Runge-Kutta methods applied to solve the compressible Reynolds averaged Navier-Stokes equations. In: New Results in Numerical and Experimental Fluid Mechanics X Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 132. Springer. pp. 525-536. ISBN 978-3-319-27278-8. ISSN 1612-2909

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Abstract

The development of solution methods to approximate steady state solutions of the turbulent compressible Reynolds-averaged Navier-Stokes (RANS) equations is often based on several heuristics. In general a deep understanding of the power as well as the deficiencies of the methods is missing. It is the goal of this article to present an analysis tool which is applied to many well known solution techniques. The tool is based on Arnoldi’s method to investigate approximations to the spectrum of the linearized equations. Numerical examples will demonstrate the good correlation between the approximate spectrum and the convergence behavior for the nonlinear equations.

Item URL in elib:https://elib.dlr.de/107262/
Document Type:Contribution to a Collection
Title:Computer aided analysis of preconditioned multistage Runge-Kutta methods applied to solve the compressible Reynolds averaged Navier-Stokes equations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Langer, Stefanstefan.langer (at) dlr.deUNSPECIFIED
Date:2016
Journal or Publication Title:New Results in Numerical and Experimental Fluid Mechanics X
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:132
DOI :10.1007/978-3-319-27279-5
Page Range:pp. 525-536
Editors:
EditorsEmail
Dillmann, AndreasDLR Göttingen
Heller, GerdAirbus Bremen
Krämer, EwaldUniversität Stuttgart
Wagner, ClausDLR Göttingen
Breitsamter, ChristianTU München
Publisher:Springer
Series Name:Notes on Numerical Fluid Mechanics and Multidisciplinary Design
ISSN:1612-2909
ISBN:978-3-319-27278-8
Status:Published
Keywords:Navier-Stokes equations, Computer analysis
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 - Flight Physics
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Langer, Dr.rer.nat. Stefan
Deposited On:02 Nov 2016 16:21
Last Modified:02 Nov 2016 16:21

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