Time-Inclined Method for High-Fidelity Rotor/Stator Simulations

The application of the time-inclined method in a fourth-order unstructured flux-reconstruction code for turbomachinery is demonstrated. Inviscid and viscous unsteady results due to the interaction of an incoming gust of total pressure with a linear cascade of flat plates and a linear cascade of T106...

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Main Authors: Miguel Montiel, Roque Corral
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Aerospace
Subjects:
Online Access:https://www.mdpi.com/2226-4310/10/5/475
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author Miguel Montiel
Roque Corral
author_facet Miguel Montiel
Roque Corral
author_sort Miguel Montiel
collection DOAJ
description The application of the time-inclined method in a fourth-order unstructured flux-reconstruction code for turbomachinery is demonstrated. Inviscid and viscous unsteady results due to the interaction of an incoming gust of total pressure with a linear cascade of flat plates and a linear cascade of T106A low-pressure turbine airfoils are reported. The agreement between the time-inclined method and the equivalent full-annulus multipassage solution is very high for both cases. Viscous solutions at Reynolds numbers of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>4</mn></msup></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>5</mn></msup></semantics></math></inline-formula> were conducted. A high degree of matching was obtained between the time-inclined and the whole annulus approaches. The limitations of the method are explored and discussed. While the evolution of the unsteady boundary layers created by the interaction with the incoming wakes was very well captured, the mixing associated with the trailing edge vortex shedding was less accurate. The critical parameter controlling the method’s accuracy is the local Strouhal number. It was demonstrated that the benefit of retaining the exact blade count in the simulations overcomes the slight differences in the mixing due to the limitation of the time-inclined method to model viscous effects accurately in all situations.
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spelling doaj.art-b69f0f1a06f2420dab02436ee33beb682023-11-18T00:00:51ZengMDPI AGAerospace2226-43102023-05-0110547510.3390/aerospace10050475Time-Inclined Method for High-Fidelity Rotor/Stator SimulationsMiguel Montiel0Roque Corral1Department of Fluid Mechanics and Aerospace Propulsion, School of Aeronautical and Space Engineering, Universidad Politécnica de Madrid, 28040 Madrid, SpainDepartment of Fluid Mechanics and Aerospace Propulsion, School of Aeronautical and Space Engineering, Universidad Politécnica de Madrid, 28040 Madrid, SpainThe application of the time-inclined method in a fourth-order unstructured flux-reconstruction code for turbomachinery is demonstrated. Inviscid and viscous unsteady results due to the interaction of an incoming gust of total pressure with a linear cascade of flat plates and a linear cascade of T106A low-pressure turbine airfoils are reported. The agreement between the time-inclined method and the equivalent full-annulus multipassage solution is very high for both cases. Viscous solutions at Reynolds numbers of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>4</mn></msup></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>5</mn></msup></semantics></math></inline-formula> were conducted. A high degree of matching was obtained between the time-inclined and the whole annulus approaches. The limitations of the method are explored and discussed. While the evolution of the unsteady boundary layers created by the interaction with the incoming wakes was very well captured, the mixing associated with the trailing edge vortex shedding was less accurate. The critical parameter controlling the method’s accuracy is the local Strouhal number. It was demonstrated that the benefit of retaining the exact blade count in the simulations overcomes the slight differences in the mixing due to the limitation of the time-inclined method to model viscous effects accurately in all situations.https://www.mdpi.com/2226-4310/10/5/475high-fidelityscale-resolving simulationsturbomachineryrotor/statortime-inclinedflux reconstruction
spellingShingle Miguel Montiel
Roque Corral
Time-Inclined Method for High-Fidelity Rotor/Stator Simulations
Aerospace
high-fidelity
scale-resolving simulations
turbomachinery
rotor/stator
time-inclined
flux reconstruction
title Time-Inclined Method for High-Fidelity Rotor/Stator Simulations
title_full Time-Inclined Method for High-Fidelity Rotor/Stator Simulations
title_fullStr Time-Inclined Method for High-Fidelity Rotor/Stator Simulations
title_full_unstemmed Time-Inclined Method for High-Fidelity Rotor/Stator Simulations
title_short Time-Inclined Method for High-Fidelity Rotor/Stator Simulations
title_sort time inclined method for high fidelity rotor stator simulations
topic high-fidelity
scale-resolving simulations
turbomachinery
rotor/stator
time-inclined
flux reconstruction
url https://www.mdpi.com/2226-4310/10/5/475
work_keys_str_mv AT miguelmontiel timeinclinedmethodforhighfidelityrotorstatorsimulations
AT roquecorral timeinclinedmethodforhighfidelityrotorstatorsimulations