Compressibility effects; FVM; HS-LPT; Wall Resolved Large Eddy Simulations; High Speed; High-speed low-pressure turbine; Large-eddy simulations; Low-pressure turbines; Subsonics; Suction side; Test case; Wall resolved large eddy simulation; Engineering (all)
Abstract :
[en] High-Speed Low-Pressure Turbines are one key turbomachinery component in ultra-high bypass ratio geared turbofan engines. The High-Speed Low-Pressure Turbine (HS-LPT) typically operates at transonic exit Mach numbers and low Reynolds numbers. These flow regimes are prone to boundary layer instabilities such as separations on the suction side, leading to a significant increase in losses. It is therefore essential to understand the operation of LPTs and, more specifically, the behaviour of the boundary layer on the blades in such environments. We present a numerical investigation of a high-speed low-Reynolds turbine cascade simulated at nominal and off-design Mach numbers. The study case is the SPLEEN C1 cascade tested in the transonic linear cascade rig S-1/C of the von Karman Institute. The cascade is numerically operated at the nominal test exit Reynolds number Re2,is = 70k, over a range of subsonic and transonic exit Mach numbers: M2,is = 0.70; 0.80; 0.90 and 0.95. All simulations are performed with the Explicit Compressible Solver of the massively parallel code YALES2, using a Wall Resolved Large-Eddy Simulations (WRLES) approach, and featuring a fourth-order finite volume spatial discretization. This scale-resolving approach allows to capture the turbine flow physics with high accuracy at an acceptable computational cost. The test case offers the possibility to assess the Mach and compressibility effects on the profile aerodynamics of HS-LPT: separation, transition mechanisms, unsteadiness and passage choking as well as trailing edge unsteady flows. The flow predictions show a substantial agreement with the available high-fidelity experimental data. Furthermore, the calculations suggest that the wake thins, and loss increase with the Mach number. The experiments support this evidence, although discrepancies are observed in peak losses for Mach numbers above 0.70. The root cause is likely found in the laminar inflow used in the LES simulations compared to the free-stream turbulence intensity level of 2.5% of the experimental test case. Compressibility effects are observed. In particular, a weak compression wave stands in the region of the cascade throat for the case M2,is = 0.90, whereas a shock appears for M2,is = 0.95 with the cascade choked. The role of the shock on the separation and transition on the blade suction side is discussed.
Disciplines :
Mechanical engineering
Author, co-author :
Tene Hedje, Patrick ✱; Université de Mons - UMONS > Faculté Polytechnique > Service de Thermique et Combustion ; Université de Mons - UMONS > Faculté Polytechnique > Service des Fluides-Machines
Bricteux, Laurent ; Université de Mons - UMONS > Faculté Polytechnique > Service des Fluides-Machines
Bechane, Yacine; CORIA, CNRS UMR6614, Normandie Université, INSA, University of Rouen, Saint-Etienne-du-Rouvray, France
Lavagnoli, Sergio; von Karman Institute for Fluid Dynamics, Rhode-Saint-Genèse, Belgium
✱ These authors have contributed equally to this work.
Language :
English
Title :
Large Eddy Simulations of a High-Speed Low-Pressure Turbine Cascade at Subsonic and Transonic Mach Numbers
Ansys Honeywell International Gas Turbine Institute (IGTI) Rolls-Royce Siemens
Funding text :
The present research benefited from computational resources made available on Lucia, the Tier-1 supercomputer of the Walloon Region, infrastructure funded by the Walloon Region under the grant agreement No. 1910247. It has been initiated during the Extreme CFD Workshop & Hackathon (https://ecfd.coria-cfd.fr).
Kurzke, Joachim. “Fundamental differences between conventional and geared turbofans.” Turbo Expo: Power for Land, Sea, and Air, Vol. 48821: pp. 145–153. 2009.
Alexiou, A, Aretakis, N, Roumeliotis, I, Kolias, I and Mathioudakis, K. “Performance modelling of an ultra-high bypass ratio geared turbofan.” Proceedings of the 23rd ISABE Conference, ISABE-2009-22512, Manchester, UK: pp. 3–8. 2017.
Hodson, H.P. and Howell, R.J. “The role of transition in high-lift low-pressure turbines for aeroengines.” Progress in Aerospace Sciences Vol. 41 No. 6 (2005): pp. 419–454. DOI 10.1016/j.paerosci.2005.08.001.
Simonassi, L., Lopes, G., Gendebien, S., Torre, A. F. M., Patinios, M., Lavagnoli, S., Zeller, N. and Pintat, L. “An Experimental Test Case for Transonic Low-Pressure Turbines–Part I: Rig Design, Instrumentation and Experimental Methodology.” Turbo Expo: Power for Land, Sea, and Air, Vol. 86106: p. V10BT30A012. Rotterdam, Netherlands, June 13–17, 2022. American Society of Mechanical Engineers. DOI 10.1115/GT2022-81566.
Lopes, G., Simonassi, L., Torre, A.F.M., Patinios, M. and Lavagnoli, S. “An Experimental Test Case for Transonic Low-Pressure Turbines-Part 2: Cascade Aerodynamics at On-and Off-Design Reynolds and Mach Numbers.” Turbo Expo: Power for Land, Sea, and Air, Vol. 86106: p. V10BT30A027. Rotterdam, Netherlands, June 13–17, 2022. American Society of Mechanical Engineers. DOI 10.1115/GT2022-82626.
Babajee, J. “Detailed numerical characterization of the separation-induced transition, including bursting, in a low-pressure turbine environment.” Ph.D. Thesis, Ecole Centrale de Lyon; Institut von Karman de dynamique des fluides (Rhode-Saint-Genèse, Belgique). 2013.
Denton, J. D. “Loss Mechanisms in Turbomachines.” Vol. 2: Combustion and Fuels; Oil and Gas Applications; Cycle Innovations; Heat Transfer; Electric Power; Industrial and Cogeneration; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; IGTI Scholar Award. 1993. DOI 10.1115/93-GT-435. V002T14A001.
Prakash, C., Cherry, D.G., Shin, H.W., Machnaim, J., Dailey, L., Beacock, R., Halstead, D., Wadia, A.R., Guillot, S. and Ng, W.F. “Effect of loading level and distribution on LPT losses.” Turbo Expo: Power for Land, Sea, and Air, Vol. 43161: pp. 917–925. 2008. DOI 10.1115/GT2008-50052.
Curtis, E.M., Hodson, H.P., Banieghbal, M.R., Denton, J.D., Howell, R.J. and Harvey, N.W. “Development of Blade Profiles for Low-Pressure Turbine Applications.” Journal of Turbomachinery Vol. 119 No. 3 (1997): pp. 531–538. DOI 10.1115/1.2841154.
Mayle, R.E. “The Role of Laminar-Turbulent Transition in Gas Turbine Engines.” Vol. 5: Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education; IGTI Scholar Award; General: p. V005T17A001. 1991. DOI 10.1115/91-GT-261.
Howell, R.J., Ramesh, O.N., Hodson, H.P., Harvey, N.W. and Schulte, V. “High Lift and Aft-Loaded Profiles for Low-Pressure Turbines .” Journal of Turbomachinery Vol. 123 No. 2 (2000): pp. 181–188. DOI 10.1115/1.1350409.
Pacciani, R., Marconcini, M., Arnone, A. and Bertini, F. “A CFD Study of Low Reynolds Number Flow in High Lift Cascades.” Turbo Expo: Power for Land, Sea, and Air, Vol. 7: Turbomachinery, Parts A, B, and C: pp. 1525–1534. 2010. DOI 10.1115/GT2010-23300.
Lou, W. and Hourmouziadis, J. “Separation Bubbles Under Steady and Periodic-Unsteady Main Flow Conditions .” Journal of Turbomachinery Vol. 122 No. 4 (2000): pp. 634–643. DOI 10.1115/1.1308568.
Bernardini, S. I., C.and Benton, Lee, J. D., Bons, J. P., Chen, JP. and Martelli, F. “Steady VGJ Flow Control on a Highly Loaded Transonic LPT Cascade: Effects of Compressibility and Roughness.” Vol. 2C: Turbomachinery: p. V02CT38A060. 2014. DOI 10.1115/GT2014-27177.
Bernardini, C., Salvadori, S., Barocchi, M. and Martelli, F. “Influence of Slot Blowing Operating Parameters on Shock-Induced Separation in a Low-Pressure Turbine Cascade.” Proceedingsofthe12thInternationalSymposiumon ExperimentalComputationalAerothermodynamicsofInternal Flows, Vol. ISAIF12: p. 11. Lerici, Italy, July 13–16, 2015.
Marty, J. “Numerical investigations of separation-induced transition on high-lift low-pressure turbine using RANS and LES methods.” Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy Vol. 228 No. 8 (2014): pp. 924–952. DOI 10.1177/095765091454874.
Akolekar, H. D., Weatheritt, J., Hutchins, N., Sandberg, R. D., Laskowski, G. and Michelassi, V. “Development and use of machine-learnt algebraic Reynolds stress models for enhanced prediction of wake mixing in low-pressure turbines.” Journal of Turbomachinery Vol. 141 No. 4 (2019): p. 041010. DOI 10.1115/GT2018-75447.
Ashpis, David E et al. “Minnowbrook II 1997 Workshop on Boundary Layer Transition in Turbomachines.” 1997 Workshop on Boundary Layer Transition in Turbomachines. E-11100. 1998. NASA/CP-1998-206958.
Moustapha, S.H., Kacker, S.C. and Tremblay, B. “An Improved Incidence Losses Prediction Method for Turbine Airfoils.” Journal of Turbomachinery Vol. 112 No. 2 (1990): pp. 267–276. DOI 10.1115/1.2927647.
Wei, N. “Significane of loss models in aerothermodynamic simulation for axial turbines.” Ph.D. Thesis, Royal Institute of Technology, Suède. 2000.
Shyne, R. J., Sohn, K. and De Witt, K.J. “Experimental investigation of boundary layer behavior in a simulated low pressure turbine.” J. Fluids Eng. Vol. 122 No. 1 (2000): pp. 84–89. DOI 10.1115/1.483229.
Sandberg, R. D. and Michelassi, V. “The current state of high-fidelity simulations for main gas path turbomachinery components and their industrial impact.” Flow, Turbulence and Combustion Vol. 102 No. 4 (2019): pp. 797–848. DOI 10.1007/s10494-019-00013-3.
Tyacke, N.R., J.and Vadlamani, Trojak, W., Watson, R., Ma, Y. and Tucker, P.G. “Turbomachinery simulation challenges and the future.” Progress in Aerospace Sciences Vol. 110 (2019): p. 100554. DOI 10.1016/j.paerosci.2019.100554.
Nurnberger, D. and Greza, H. “Numerical investigation of unsteady transitional flows in turbomachinery components based on a RANS approach.” Flow, Turbulence and Combustion Vol. 69 No. 3 (2002): pp. 331–353. DOI 10.1023/A:1027307211377.
Ranjan, R., Deshpande, S.M. and Narasimha, R. “New insights from high-resolution compressible DNS studies on an LPT blade boundary layer.” Computers Fluids Vol. 153 (2017): pp. 49–60. DOI 10.1016/j.compfluid.2017.05.004.
Wang, T., Zhao, Y., Leggett, J. and Sandberg, R. D. “Direct Numerical Simulation of a High-Pressure Turbine Stage: Unsteady Boundary Layer Transition and the Resulting Flow Structures.” Journal of Turbomachinery Vol. 145 No. 12 (2023). DOI 10.1115/1.4063510.
Rosenzweig, M., Giaccherini, S., Pinelli, L., Kozul, M., Sandberg, R., Marconcini, M. and Pacciani, R. “Best-Practice Guidelines for High-Fidelity Simulations Based on Detailed Analysis of a Highly-Loaded Low-Pressure Turbine Cascade.” Turbo Expo: Power for Land, Sea, and Air, Vol. 87097: p. V13BT30A021. 2023. American Society of Mechanical Engineers. DOI 10.1115/GT2023-102697.
Nardini, M., Kozul, M., Jelly, T. O. and Sandberg, R. D. “Direct Numerical Simulation of Transitional and Turbulent Flows Over Multi-Scale Surface Roughness—Part I: Methodology and Challenges.” Journal of Turbomachinery Vol. 146 No. 3 (2023): p. 031008. DOI 10.1115/1.4063753.
Nardini, M., Jelly, T. O., Kozul, M., Sandberg, R. D., Vitt, P. and Sluyter, G. “Direct Numerical Simulation of Transitional and Turbulent Flows Over Multi-Scale Surface Roughness—Part II: The Effect of Roughness on the Performance of a High-Pressure Turbine Blade.” Journal of Turbomachinery Vol. 146 No. 3 (2023): p. 031009. DOI 10.1115/1.4063974.
Walters, D. K. and Leylek, J. H. “A New Model for Boundary Layer Transition Using a Single-Point RANS Approach .” Journal of Turbomachinery Vol. 126 No. 1 (2004): pp. 193–202. DOI 10.1115/1.1622709.
Sanders, D. D., O’Brien, W. F., Sondergaard, R., Polanka, M. D. and Rabe, D. C. “Predicting Separation and Transitional Flow in Turbine Blades at Low Reynolds Numbers.” Vol. 6: Turbomachinery, Parts A, B, and C: pp. 1053–1068. 2008. DOI 10.1115/GT2008-50283.
Sanders, D. D., O’Brien, W. F., Sondergaard, R., Polanka, M. D. and Rabe, D. C. “Predicting Separation and Transitional Flow in Turbine Blades at Low Reynolds Numbers—Part II: The Application to a Highly Separated Turbine Blade Cascade Geometry.” Journal of Turbomachinery Vol. 133 No. 3 (2010): p. 031012. DOI 10.1115/1.4001231.
Chishty, M. A., Parvez, K., Ahmed, S., Hamdani, H. R. and Mushtaq, A. “Transition Prediction in Low Pressure Turbine (LPT) Using Gamma Theta Model and Passive Control of Separation.” ASME International Mechanical Engineering Congress and Exposition, Vol. 1: Advances in Aerospace Technology; Energy Water Nexus; Globalization of Engineering; Posters: pp. 193–200. 2011. DOI 10.1115/IMECE2011-62148.
Keadle, K. and McQuilling, M. “Evaluation of RANS Transition Modeling for High Lift LPT Flows at Low Reynolds Number.” Turbo Expo: Power for Land, Sea, and Air, Vol. 6B: Turbomachinery: p. V06BT37A029. 2013. DOI 10.1115/GT2013-95069.
Gourdain, N., Sicot, F., Duchaine, F. and Gicquel, L. “Large eddy simulation of flows in industrial compressors: a path from 2015 to 2035.” Philosophical Transactions of the Royal society A: Mathematical, Physical and engineering sciences Vol. 372 No. 2022 (2014): p. 20130323. DOI 10.1098/rsta.2013.0323.
Brunet, V. et al. “Comparison of various CFD codes for LES simulations of turbomachinery: from inviscid vortex convection to multi-stage compressor.” Turbo Expo: Power for Land, Sea, and Air, Vol. 51012: p. V02CT42A013. 2018. American Society of Mechanical Engineers.
Tene Hedje, P., Bechane, Y., Lavagnoli, S. and Bricteux, L. “Wall Resolved Large-Eddy Simulations of High-Speed Low-Pressure Turbine Cascades.” Vol. 13B: Turbomachinery — Axial Flow Turbine Aerodynamics: p. V13BT30A005. 2023. DOI 10.1115/GT2023-101251.
Leggett, J., Priebe, S., Sandberg, R., Michelassi, V. and Shabbir, A. “Detailed Investigation of RANS and LES Predictions of Loss Generation in an Axial Compressor Cascade at Off Design Incidences.” Vol. Volume 2A: Turbomachinery. 2016. DOI 10.1115/GT2016-57972. V02AT37A050.
Wang, G., Duchaine, F., Papadogiannis, D., Duran, I., Moreau, S. and Gicquel, L.Y.M. “An overset grid method for large eddy simulation of turbomachinery stages.” Journal of Computational Physics Vol. 274 (2014): pp. 333–355. DOI 10.1016/j.jcp.2014.06.006.
Tateishi, A., Tani, N., Okamura, Y. and Hamabe, M. “LES prediction of transitional flows in LP turbine cascades: effects of blade loading, flow phenomena and numerical setup.” JournaloftheGlobalPowerandPropulsionSociety Vol. 6 (2022): pp. 330–342. DOI 10.33737/jgpps/156577.
Ni, M., Ni, R. and Clark, J. P. “LES Modeling of High-Lift High-Work LP Turbine Profiles: Part I: Approach.” Vol. 13B: Turbomachinery — Axial Flow Turbine Aerodynamics: p. V13BT30A019. 2023. DOI 10.1115/GT2023-102625.
Zhang, W. and Zou, Z. “Large eddy simulations of periodic wake effects on boundary-layer transition of low-pressure turbine cascades.” AIP Advances Vol. 13 No. 2 (2023): p. 025128. DOI 10.1063/5.0139787.
Torre, A. F. M., Patinios, M., Lopes, G., Simonassi, L. and Lavagnoli, S. “Vane-Probe Interactions in Transonic Flows.” Vol. Volume 2: Coal, Biomass, Hydrogen, and Alternative Fuels; Controls, Diagnostics, and Instrumentation; Steam Turbine. 2022. DOI 10.1115/GT2022-82549. V002T05A015.
Moureau, V., Domingo, P. and Vervisch, L. “Design of a massively parallel CFD code for complex geometries.” Comptes Rendus Mécanique Vol. 339 No. 2 (2011): pp. 141–148. DOI 10.1016/j.crme.2010.12.001. High Performance Computing.
Moureau, V., Lartigue, G. and D., Taieb. “YALES2 home page on.” Accessed 2022-11-22, URL www.coria-cfd.fr.
Lavagnoli, S., Lopes, G., Simonassi, L. and Torre, A.F.M. “SPLEEN - High Speed Turbine Cascade – Test Case Database.” (2023). URL https://doi.org/10.5281/zenodo. 8075795.
Moureau, V., Bérat, C. and Pitsch, H. “An efficient semi-implicit compressible solver for large-eddy simulations.” Journal of Computational Physics Vol. 226 No. 2 (2007): pp. 1256–1270.
Kraushaar, M. “Application of the compressible and Low-Mach number approaches to Large-Eddy Simulation of turbulent flows in Aero-Engines.” Theses, Institut National Polytechnique de Toulouse - INPT. 2011. URL https://tel.archives-ouvertes.fr/tel-00711480.
Toro, E. F. Riemann Solvers and Numerical Methods for Fluid Dynamics. springer (2009).
Henry de Frahan, M. T. and Johnsen, S. V. E. “A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces.” Journal of Computational Physics Vol. 280 (2015): p. 489–509. DOI https://doi.org/10.1016/j.jcp.2014.09.030.
Odier, N., Sanjosé, M., Gicquel, L., Poinsot, T., Moreau, S. and Duchaine, F. “A characteristic inlet boundary condition for compressible, turbulent, multispecies turbomachinery flows.” Computers & Fluids Vol. 178 (2019): pp. 41–55.
Germano, M., Piomelli, U., Moin, P. and Cabot, W.H. “A dynamic subgrid-scale eddy viscosity model.” Physics of Fluids A: Fluid Dynamics Vol. 3 No. 7 (1991): pp. 1760–1765. DOI 10.1063/1.857955.
Lilly, D.K. “A proposed modification of the Germano subgrid-scale closure method.” Physics of Fluids A: Fluid Dynamics Vol. 4 No. 3 (1992): pp. 633–635. DOI 10.1063/1.858280.
Geuzaine, C. and Remacle, J.F. “Gmsh: A 3-D finite element mesh generator with built-in pre-and post-processing facilities.” International journal for numerical methods in engineering Vol. 79 No. 11 (2009): pp. 1309–1331. DOI 10.1002/nme.2579.
Borbouse, M. “Boundary layer stability and shock interactions in a high-speed low pressure turbine cascade.” (2023).
Boudin, A., Dombard, J., Duchaine, F., Gicquel, L., Odier, N., Lavagnoli, S., Do Carmo L., F., Gustavo and Simonassi, L. “Analysis of rotor/stator interactions in a high-speed low-pressure turbine cascade using Large-Eddy Simulations.” 2023. DOI 10.29008/etc2023-257.
Schlichting, H. and Gersten, K. Boundary-layer theory. springer (2016).
Fiore, M. and Gourdain, N. “Reynolds, Mach, and Freestream Turbulence Effects on the Flow in a Low-Pressure Turbine.” Journal of Turbomachinery Vol. 143 No. 10 (2021): p. 101009. DOI 10.1115/1.4050919f.
Welch, P. “The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms.” IEEE Transactions on audio and electroacoustics Vol. 15 No. 2 (1967): pp. 70–73. DOI 10.1109/TAU.1967.1161901.
Duan, W., Qiao, W., Chen, W. and Zhao, X. “Effects of Freestream Turbulence, Reynolds Number and Mach Number on the Boundary Layer in a Low Pressure Turbine.” Journal of Thermal Science (2023): pp. 1–14DOI 10.1007/s11630-023-1798-7.
