Prediction of Transient Pressure Fluctuations within a Low-Pressure Turbine Cascade Using a Lanczos-Filtered Harmonic Balance Method
Unsteady pressure fluctuations measured by fast-response pressure transducers mounted in a low-pressure turbine cascade are compared to unsteady simulation results. Three differing simulation approaches are considered, one time-integration method and two harmonic balance methods either resolving or...
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doaj-32b192b62ccc4145878c83ceae630bcf2021-09-26T00:26:02ZengMDPI AGInternational Journal of Turbomachinery, Propulsion and Power2504-186X2021-07-016252510.3390/ijtpp6030025Prediction of Transient Pressure Fluctuations within a Low-Pressure Turbine Cascade Using a Lanczos-Filtered Harmonic Balance MethodJan Philipp Heners0Stephan Stotz1Annette Krosse2Detlef Korte3Maximilian Beck4Damian Vogt5Applied Mathematics, Faculty of Mechanical Engineering, Helmut Schmidt University, University of the Federal Armed Forces Hamburg, 22043 Hamburg, GermanyMTU Aero Engines AG, 80995 Munich, GermanyMTU Aero Engines AG, 80995 Munich, GermanyMTU Aero Engines AG, 80995 Munich, GermanyMTU Aero Engines AG, 80995 Munich, GermanyITSM Institute of Thermal Turbomachinery and Machinery Laboratory, University of Stuttgart, 70569 Stuttgart, GermanyUnsteady pressure fluctuations measured by fast-response pressure transducers mounted in a low-pressure turbine cascade are compared to unsteady simulation results. Three differing simulation approaches are considered, one time-integration method and two harmonic balance methods either resolving or averaging the time-dependent components within the turbulence model. The observations are used to evaluate the capability of the harmonic balance solver to predict the transient pressure fluctuations acting on the investigated stator surface. Wakes of an upstream rotor are generated by moving cylindrical bars at a prescribed rotational speed that refers to a frequency of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>∼</mo><mn>500</mn></mrow></semantics></math></inline-formula> Hz. The excitation at the rear part of the suction side is essentially driven by the presence of a separation bubble and is therefore highly dependent on the unsteady behavior of turbulence. In order to increase the stability of the investigated harmonic balance solver, a developed Lanczos-type filter method is applied if the turbulence model is considered in an unsteady fashion.https://www.mdpi.com/2504-186X/6/3/25unsteady aerodynamicsharmonic balancemodel order reductionfrequency domain methods |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jan Philipp Heners Stephan Stotz Annette Krosse Detlef Korte Maximilian Beck Damian Vogt |
spellingShingle |
Jan Philipp Heners Stephan Stotz Annette Krosse Detlef Korte Maximilian Beck Damian Vogt Prediction of Transient Pressure Fluctuations within a Low-Pressure Turbine Cascade Using a Lanczos-Filtered Harmonic Balance Method International Journal of Turbomachinery, Propulsion and Power unsteady aerodynamics harmonic balance model order reduction frequency domain methods |
author_facet |
Jan Philipp Heners Stephan Stotz Annette Krosse Detlef Korte Maximilian Beck Damian Vogt |
author_sort |
Jan Philipp Heners |
title |
Prediction of Transient Pressure Fluctuations within a Low-Pressure Turbine Cascade Using a Lanczos-Filtered Harmonic Balance Method |
title_short |
Prediction of Transient Pressure Fluctuations within a Low-Pressure Turbine Cascade Using a Lanczos-Filtered Harmonic Balance Method |
title_full |
Prediction of Transient Pressure Fluctuations within a Low-Pressure Turbine Cascade Using a Lanczos-Filtered Harmonic Balance Method |
title_fullStr |
Prediction of Transient Pressure Fluctuations within a Low-Pressure Turbine Cascade Using a Lanczos-Filtered Harmonic Balance Method |
title_full_unstemmed |
Prediction of Transient Pressure Fluctuations within a Low-Pressure Turbine Cascade Using a Lanczos-Filtered Harmonic Balance Method |
title_sort |
prediction of transient pressure fluctuations within a low-pressure turbine cascade using a lanczos-filtered harmonic balance method |
publisher |
MDPI AG |
series |
International Journal of Turbomachinery, Propulsion and Power |
issn |
2504-186X |
publishDate |
2021-07-01 |
description |
Unsteady pressure fluctuations measured by fast-response pressure transducers mounted in a low-pressure turbine cascade are compared to unsteady simulation results. Three differing simulation approaches are considered, one time-integration method and two harmonic balance methods either resolving or averaging the time-dependent components within the turbulence model. The observations are used to evaluate the capability of the harmonic balance solver to predict the transient pressure fluctuations acting on the investigated stator surface. Wakes of an upstream rotor are generated by moving cylindrical bars at a prescribed rotational speed that refers to a frequency of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>∼</mo><mn>500</mn></mrow></semantics></math></inline-formula> Hz. The excitation at the rear part of the suction side is essentially driven by the presence of a separation bubble and is therefore highly dependent on the unsteady behavior of turbulence. In order to increase the stability of the investigated harmonic balance solver, a developed Lanczos-type filter method is applied if the turbulence model is considered in an unsteady fashion. |
topic |
unsteady aerodynamics harmonic balance model order reduction frequency domain methods |
url |
https://www.mdpi.com/2504-186X/6/3/25 |
work_keys_str_mv |
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