This is the first part of a series of two papers on unsteady computational fluid dynamics (CFD) methods for the numerical simulation of aerodynamic noise generation and propagation. In this part, the stability, accuracy, and efficiency of implicit Runge–Kutta schemes for the temporal integration of the compressible Navier–Stokes equations are investigated in the context of a CFD code for turbomachinery applications. Using two model academic problems, the properties of two explicit first stage, singly diagonally implicit Runge–Kutta (ESDIRK) schemes of second- and third-order accuracy are quantified and compared with more conventional second-order multistep methods. Finally, to assess the ESDIRK schemes in the context of an industrially relevant configuration, the schemes are applied to predict the tonal noise generation and transmission in a modern high bypass ratio fan stage and comparisons with the corresponding experimental data are provided.
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German Aerospace Center (DLR),
Berlin 10623,
e-mail: Christian.Weckmueller@dlr.de
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February 2014
Research-Article
Advanced Numerical Methods for the Prediction of Tonal Noise in Turbomachinery—Part I: Implicit Runge–Kutta Schemes
Graham Ashcroft,
Graham Ashcroft
1
e-mail: Graham.Ashcroft@dlr.de
1Corresponding author.
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Christian Frey,
Kathrin Heitkamp,
Kathrin Heitkamp
e-mail: Kathrin.Heitkamp@dlr.de
German Aerospace Center (DLR),
Cologne 51147,
Institute of Propulsion Technology
,German Aerospace Center (DLR),
Linder Höhe
,Cologne 51147,
Germany
Search for other works by this author on:
Christian Weckmüller
German Aerospace Center (DLR),
Berlin 10623,
e-mail: Christian.Weckmueller@dlr.de
Christian Weckmüller
Institute of Propulsion Technology
,German Aerospace Center (DLR),
Müller-Breslaustr. 8
,Berlin 10623,
Germany
e-mail: Christian.Weckmueller@dlr.de
Search for other works by this author on:
Graham Ashcroft
e-mail: Graham.Ashcroft@dlr.de
Christian Frey
e-mail: Christian.Frey@dlr.de
Kathrin Heitkamp
e-mail: Kathrin.Heitkamp@dlr.de
German Aerospace Center (DLR),
Cologne 51147,
Institute of Propulsion Technology
,German Aerospace Center (DLR),
Linder Höhe
,Cologne 51147,
Germany
Christian Weckmüller
Institute of Propulsion Technology
,German Aerospace Center (DLR),
Müller-Breslaustr. 8
,Berlin 10623,
Germany
e-mail: Christian.Weckmueller@dlr.de
1Corresponding author.
Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the Journal of Turbomachinery. Manuscript received August 2, 2012; final manuscript received December 17, 2012; published online September 26, 2013. Editor: David Wisler.
J. Turbomach. Feb 2014, 136(2): 021002 (9 pages)
Published Online: September 26, 2013
Article history
Received:
August 2, 2012
Revision Received:
December 17, 2012
Citation
Ashcroft, G., Frey, C., Heitkamp, K., and Weckmüller, C. (September 26, 2013). "Advanced Numerical Methods for the Prediction of Tonal Noise in Turbomachinery—Part I: Implicit Runge–Kutta Schemes." ASME. J. Turbomach. February 2014; 136(2): 021002. https://doi.org/10.1115/1.4023904
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