Advertisement

Numerical simulation of unsteady flows through a radial turbine

  • Jiří FürstEmail author
  • Zdeněk Žák
Article
  • 12 Downloads

Abstract

The article deals with the numerical simulation of unsteady flows through the turbine part of the turbocharger. The main focus of the article is the extension of the in-house CFD finite volume solver for the case of unsteady flows in radial turbines and the coupling to an external zero-dimensional model of the inlet and outlet parts. In the second part, brief description of a simplified one-dimensional model of the turbine is given. The final part presents a comparison of the results of numerical simulations using both the 3D CFD method and the 1D simplified model with the experimental data. The comparison shows that the properly calibrated 1D model gives accurate predictions of mass flow rate and turbine performance at much less computational time than the full 3D CFD method. On the other hand, the more expensive 3D CFD method does not need any specific calibration and allows detailed inspections of the flow fields.

Keywords

CFD Finite volume method Turbocharger Radial turbine 

Mathematics Subject Classification (2010)

65M08 76N99 68U20 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

Acknowledgements

Access to computing and storage facilities owned by parties and projects contributing to the National Grid Infrastructure MetaCentrum provided under the programme “Projects of Large Research, Development, and Innovations Infrastructures” (CESNET LM2015042) is greatly appreciated.

Funding information

The authors acknowledge support from the EU Operational Programme Research, Development and Education, and from the Center of Advanced Aerospace Technology (CZ.02.1.01/0.0/0.0/16_019/0000826), Faculty of Mechanical Engineering, Czech Technical University in Prague.

References

  1. 1.
    Baines, N.C.: Turbocharger turbine pulse flow performance and modelling 25 years on. In: 9th International Conference on Turbochargers and Turbocharging, Institution of Mechanical Engineers, London, pp 347–362 (2010)Google Scholar
  2. 2.
    Barth, T., Jespersen, D.: The design and application of upwind schemes on unstructured meshes. In: 27th Aerospace Sciences Meeting American Institute of Aeronautics and Astronautics, Reston, Virigina.  https://doi.org/10.2514/6.1989-366(1989)
  3. 3.
    Blockwitz, T., Otter, M., Akesson, J., Arnold, M., Clauss, C., Elmqvist, H., Friedrich, M., Junghanns, A., Mauss, J., Neumerkel, D., Olsson, H., Viel, A.: Functional Mockup Interface 2.0: the standard for tool independent exchange of simulation models, 173–184.  https://doi.org/10.3384/ecp12076173 (2012)
  4. 4.
    Borisov, V.E., Davydov, A.A., Kudryashov, I.Y., Lutsky, A.E., Men’shov, I.S.: Parallel implementation of an implicit scheme based on the LU-SGS method for 3D turbulent flows. Math. Models Comput. Simul. 7(3), 222–232 (2015).  https://doi.org/10.1134/S2070048215030035 MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    De Bellis, V., Bozza, F., Schernus, C., Uhlmann, T.: Advanced numerical and experimental techniques for the extension of a turbine mapping. SAE Int. J. Eng. 6(3), 2013–24–0119 (2013).  https://doi.org/10.4271/2013-24-0119 Google Scholar
  6. 6.
    De Bellis, V., Marelli, S., Bozza, F., Capobianco, M.: 1D simulation and experimental analysis of a turbocharger turbine for automotive engines under steady and unsteady flow conditions. Energy Procedia 45, 909–918 (2014).  https://doi.org/10.1016/j.egypro.2014.01.096 CrossRefGoogle Scholar
  7. 7.
    Ding, Z., Zhuge, W., Zhang, Y., Chen, H., Martinez-Botas, R., Yang, M.: A one-dimensional unsteady performance model for turbocharger turbines. Energy 132, 341–355 (2017).  https://doi.org/10.1016/j.energy.2017.04.154 CrossRefGoogle Scholar
  8. 8.
    Dixon, S.L., Hall, C.: Fluid mechanics and thermodynamics of turbomachinery, 7th. Butterworth-Heinemann, Oxford (2013)Google Scholar
  9. 9.
    Escue, A., Cui, J.: Comparison of turbulence models in simulating swirling pipe flows. Appl. Math. Model. 34(10), 2840–2849 (2010).  https://doi.org/10.1016/j.apm.2009.12.018 MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    Farrell, P., Maddison, J.: Conservative interpolation between volume meshes by local Galerkin projection. Comput. Methods Appl. Mech. Eng. 200(1-4), 89–100 (2011).  https://doi.org/10.1016/j.cma.2010.07.015 MathSciNetCrossRefzbMATHGoogle Scholar
  11. 11.
    Fritzson, P.: Introduction to modeling and simulation of technical and physical systems with Modelica. Wiley-IEEE Press, New Jersey (2011)CrossRefGoogle Scholar
  12. 12.
    Fürst, J.: CFD analysis of a twin scroll radial turbine. EPJ Web of Conferences 180, 02,028 (2018).  https://doi.org/10.1051/epjconf/201818002028 CrossRefGoogle Scholar
  13. 13.
    Fürst, J.: Development of a coupled matrix-free LU-SGS solver for turbulent compressible flows. Comput. Fluids 172, 332–339 (2018).  https://doi.org/10.1016/j.compfluid.2018.04.020 MathSciNetCrossRefzbMATHGoogle Scholar
  14. 14.
    Hajilouy-Benisi, A., Rad, M., Shahhosseini, M.R.: Flow and performance characteristics of twin-entry radial turbine under full and extreme partial admission conditions. Arch. Appl. Mech. 79(12), 1127–1143 (2009).  https://doi.org/10.1007/s00419-008-0295-5 CrossRefzbMATHGoogle Scholar
  15. 15.
    Kalitzin, G., Medic, G., Iaccarino, G., Durbin, P.: Near-wall behavior of RANS turbulence models and implications for wall functions. J. Comput. Phys. 204 (1), 265–291 (2005).  https://doi.org/10.1016/j.jcp.2004.10.018 CrossRefzbMATHGoogle Scholar
  16. 16.
    Macek, J., Vítek, O., žák, Z.: Calibration and results of a radial turbine 1-D model with distributed parameters. In: SAE 2011 world congress & exhibition, SAE international.  https://doi.org/10.4271/2011-01-1146, p 24 (2011)
  17. 17.
    Macek, J., žák, Z., Vítek, O.: Physical model of a twin-scroll turbine with unsteady flow. In: SAE 2015 world congress & exhibition, SAE international.  https://doi.org/10.4271/2015-01-1718, p 14 (2015)
  18. 18.
    Mathworks: Simulink: Dynamic Simulation for Matlab (2011)Google Scholar
  19. 19.
    Menter, F.R., Kuntz, M., Langtry, R.: Ten years of industrial experience with the SST turbulence model. Turbulence Heat and Mass Transfer 4, 4:625–632 (2003)Google Scholar
  20. 20.
    Palfreyman, D., Martinez-Botas, R.F.: The pulsating flow field in a mixed flow turbocharger turbine: an experimental and computational study. J. Turbomach. 127(1), 144 (2005).  https://doi.org/10.1115/1.1812322 CrossRefGoogle Scholar
  21. 21.
    Sarshar, A., Tranquilli, P., Pickering, B., McCall, A., Roy, C.J., Sandu, A.: A numerical investigation of matrix-free implicit time-stepping methods for large CFD simulations. Comput. Fluids 159, 53–63 (2017).  https://doi.org/10.1016/j.compfluid.2017.09.014 MathSciNetCrossRefzbMATHGoogle Scholar
  22. 22.
    Toro, E.F.: The HLL and HLLC Riemann solvers. In: Riemann solvers and numerical methods for fluid dynamics.  https://doi.org/10.1007/978-3-662-03490-3_10, pp 293–311. Springer, Berlin (1997)
  23. 23.
    Weller, H.G., Tabor, G., Jasak, H., Fureby, C.: A tensorial approach to computational continuum mechanics using object-oriented techniques. Comput. Phys. 12(6), 620 (1998).  https://doi.org/10.1063/1.168744 CrossRefGoogle Scholar
  24. 24.
    žák, Z., Macek, J., Hatschbach, P.: Evaluation of experiments on a twin scroll turbocharger turbine for calibration of a complex 1-D model. J. Middle European Construction Design Cars 14(3), 11–18 (2016).  https://doi.org/10.1515/mecdc-2016-0010 CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringCzech Technical University in PraguePragueCzech Republic
  2. 2.Faculty of Mechanical EngineeringCzech Technical University in PragueRoztokyCzech Republic

Personalised recommendations