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High-Order Accurate Implicit Runge-Kutta Schemes for the Simulation of Unsteady Flow Phenomena in Turbomachinery
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.
| Document Type: | Conference or Workshop Item (Speech, Paper) | ||||||||
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| 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 | ||||||||
| 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 | ||||||||
| HGF - Program: | Aeronautics | ||||||||
| HGF - Program Themes: | L ER - Engine Research | ||||||||
| DLR - Research area: | Aeronautics | ||||||||
| DLR - Program: | L ER - Engine Research | ||||||||
| DLR - Research theme (Project): | L - Virtual Engine and Validation Methods | ||||||||
| Location: | Köln-Porz | ||||||||
| Institutes and Institutions: | Institute of Propulsion Technology > Numerical Methodes | ||||||||
| Deposited By: | Kathrin Heitkamp | ||||||||
| Deposited On: | 15 Feb 2011 14:09 | ||||||||
| Last Modified: | 15 Feb 2011 14:09 |
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