Ashcroft, Graham and Heitkamp, Kathrin and Kügeler, Edmund (2010) High-Order Accurate Implicit Runge-Kutta Schemes for the Simulation of Unsteady Flow Phenomena in Turbomachinery. In: Proceedings Fifth European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010. V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010, 14.-17. Juni 2010, Lisabon, Portugal. ISBN 978-989-96778-1-4.
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Abstract
High-order accurate implicit Runge-Kutta schemes for the numerical integration of the compressible, unsteady Navier-Stokes equations in the context of a hybrid (structured and unstructured) flow solver are investigated and compared with more conventional implicit first- and second-order accurate time integration schemes. Three Explicit first stage, Stiffly accurate Diagonally Implicit Runge-Kutta (ESDIRK) schemes of second-, third- and fourth-order accuracy are considered. To solve the individual stages a direct (unfactored) approach in combination with the pseudo-time-stepping method is investigated. The effciency gains of the methods over lower order methods as well as the issues of robustness and complexity are discussed and analyzed in detail.
Item URL in elib: | https://elib.dlr.de/68940/ | ||||||||||||
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Document Type: | Conference or Workshop Item (Speech, Paper) | ||||||||||||
Title: | High-Order Accurate Implicit Runge-Kutta Schemes for the Simulation of Unsteady Flow Phenomena in Turbomachinery | ||||||||||||
Authors: |
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Date: | June 2010 | ||||||||||||
Journal or Publication Title: | Proceedings Fifth European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010 | ||||||||||||
Refereed publication: | Yes | ||||||||||||
Open Access: | No | ||||||||||||
Gold Open Access: | No | ||||||||||||
In SCOPUS: | No | ||||||||||||
In ISI Web of Science: | No | ||||||||||||
Editors: |
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ISBN: | 978-989-96778-1-4 | ||||||||||||
Status: | Published | ||||||||||||
Keywords: | Turbomaschinen, Runge-Kutta, high-order, time-accurate | ||||||||||||
Event Title: | V European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010 | ||||||||||||
Event Location: | Lisabon, Portugal | ||||||||||||
Event Type: | international Conference | ||||||||||||
Event Dates: | 14.-17. Juni 2010 | ||||||||||||
HGF - Research field: | Aeronautics, Space and Transport (old) | ||||||||||||
HGF - Program: | Aeronautics | ||||||||||||
HGF - Program Themes: | Propulsion Systems (old) | ||||||||||||
DLR - Research area: | Aeronautics | ||||||||||||
DLR - Program: | L ER - Engine Research | ||||||||||||
DLR - Research theme (Project): | L - Virtual Engine and Validation Methods (old) | ||||||||||||
Location: | Köln-Porz | ||||||||||||
Institutes and Institutions: | Institute of Propulsion Technology > Numerical Methodes | ||||||||||||
Deposited By: | Heitkamp, Kathrin | ||||||||||||
Deposited On: | 15 Feb 2011 14:09 | ||||||||||||
Last Modified: | 15 Feb 2011 14:09 |
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