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Thirty years of numerical flow simulation in hydraulic turbomachines

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Abstract

The application of computational fluid dynamics (CFD) in the design of water turbines and pumps started about 30 years ago. This paper reviews the main steps and breakthroughs in the methods that were made during this period, through the eyes of one particular water turbine company which spear-headed some of the first developments for practical applications. Practical examples are used to illustrate the developments of the tools from 1978 to 2008 and to give an overview of the complete revolution in hydraulic turbine design that has occurred over this time. Several periods with distinct levels of complexity, and hence accuracy of the physical models and of the simulation methods can be distinguished. The first steps coincided with the introduction of the Finite Element Method into CFD, and were characterized by simplified Quasi-3D Euler solutions and Fully 3D potential flow solutions. Over the years the complexity continuously increased in stages: via 3D Euler solutions, to steady RANS simulations of single blade passages using finite volume methods, extending to steady simulations of whole machines, until today unsteady RANS equations are solved with advanced turbulence models. The most active areas of research and development are now concerned with including the effects of 2-phase flows (free surface flow in Pelton turbines and cavitation) and fluid–structure interaction.

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References

  1. Andersson, U., Dahlbäck, N.: Experimental evaluation of draft tube flow—a test case for CFD simulations. In: XIX IAHR Symposium on Hydraulic Machinery and Systems, Singapore (1998)

  2. Andersson, U., Engström, F., Gustavsson, H., Karlsson, R.: The Turbine-99 workshops—lessons learned. The QNET-CFD Network Newsletter, vol. 2(3) (2003)

  3. Avellan, F., Dupont, Ph., Kvicinsky, S.: Flow calculations in Pelton turbines—Part 2: free surface flows. In: XIXth IAHR Symposium on Hydraulic Machinery and Systems, Singapore (1998)

  4. Avellan, F.: Flow investigation in a Francis draft tube: the flindt project. In: Proceedings of the Hydraulic Machinery and Systems 20th IAHR Symposium, Charlotte (2000)

  5. Avellan, F.: http://hpc.epfl.ch/bgl/scientific-projects/hydrodyna/hydrodyna-project

  6. Casey, M.V., Keck, H.: Hydraulic turbines. Handbook of Fluid Dynamics and Fluid Machinery, Chap. 27.9, vol. 3. Wiley, London (1996)

  7. Casey, M.V., Wintergerste, T.: Best practice guidelines for industrial CFD. Published by ERCOFTAC (2000)

  8. Drtina, P., Goede, E., Schachenmann, A.: Three dimensional turbulent flow simulation for two different hydraulic turbine draft tubes. In: Proceedings of the First European Computational Fluid Dynamics Conference. Brussels, Belgium, 7–11 Sep. 1992

  9. Dubas, M.: Über die Erregung infolge der Periodizität von Turbomaschinen. Ingenieur Archiv. Springer, Verlag (1984)

  10. Eisele, K., Muggli, F., Zhang, Z., Casey, M., Sallaberger, M., Sebestyen, A.: Experimental and numerical studies of flow instabilities in pump-turbine stages. In: XIX IAHR Symposium, Singapore (1998)

  11. Gehrer, A., Egger, A., Riener, J.: Numerical and experimental investigation of the daft tube flow downstream of a bulb turbine. In: Proceedings of the XXI IAHR Symposium on Hydraulic Machinery and Systems, Lausanne (2002)

  12. Göde, E., Ryhming, I.L.: 3D-Computation of the flow in a Francis runner. Sulzer Technical Review No. 4 (1987)

  13. Göde, E., Cuénod, R., Pestalozzi, J.: Visualization of flow phenomena in a hydraulic turbine based on 3D flow computations. Waterpower (1989)

  14. Göde E., Cuénod R., Bachmann P.: Theoretical and experimental investigation of the flow field around a Francis runner. IAHR Symposium, Trondheim (1988)

    Google Scholar 

  15. Göde E.: A Stacking technique for multistage 3D flow computation in hydraulic turbomachinery. GAMM workshop, Lausanne (1989)

    Google Scholar 

  16. Höller, H.K., Keck, H.: The complete finite element flow computation in a bulb turbine from inlet trash rack to runner outlet. IAHR Symposium Tokyo (1980)

  17. Jermann P., Keck H., Pestalozzi J.: FEM—flow analysis in hydraulic turbomachinery runners. Water Power Conference, Las Vegas (1985)

    Google Scholar 

  18. Keck, H.: Die Anwendung der Finite-Elemente-Methode auf die Berechnung von 3D-Potentialströmungen. Internal Escher Wyss Report WT-78–566 (1978)

  19. Keck, H., Haas, W.: Vorticity and blade circulation modeling in the calculation of quasi-three-dimensional cascade flows with finite elements. 3. In: Int. Conf. on Finite Elements in Flow Problems, Banff/Canada (1980)

  20. Keck, H.: Finite Element Analysis of Flows in Hydraulic Turbomachines. Escher Wyss News, vol. 53 (1980)

  21. Keck, H., Haas, W.: Finite Element Analysis of quasi-3D flow in turbomachines. Finite Elements in Fluids, Chap. 24, vol. 4. Wiley, London (1982)

  22. Keck H., Göde E., Pestalozzi J.: Experience with 3D Euler flow analysis as a practical design tool. IAHR Symposium, Belgrade (1992)

    Google Scholar 

  23. Keck H., Göde E., Grunder R., Pestalozzi J.: Upgrading by new runners based on 3D-flow simulation and model testing. IAHR Symposium, Sao Paulo (1992)

    Google Scholar 

  24. Keck, H., Drtina, P., Sick, M.: Numerical hill chart prediction by means of CFD stage simulation for a complete francis turbine. In: Proceedings of the XVIII IAHR Symposium, Valencia (1996)

  25. Keller, M.: CFD of Unsteady Phenomena in water turbines. In: 24th CADFEM User’s Meeting (2006)

  26. Keller, M., Sallaberger, M.: (2) Modern hydraulic design of pump turbines. In: Proceedings of the 14th International Seminar on Hydropower Plants, Vienna (2006)

  27. Kvicinski, S., Kueny, J.L., Avellan, F., Parkinson, E.: Experimental and numerical analysis of free suface flows in a rotating bucket. In: XXI IAHR Symposium, Lausanne, Switzerland (2002)

  28. Launder B.E., Spalding D.B.: Mathematical Models of Turbulence. Academic Press, London/New York (1972)

    MATH  Google Scholar 

  29. Lockey, K., Keller, M., Sick, M., Gehrer, A.: Flow induced vibrations at stay vanes: Experience at site and CFD simulation of von Kármán vortex shedding. Hydro2006, Porto Carras, Greece (2006)

  30. Muggli F.A., Eisele K., Casey M.V. et al.: Flow analysis in a pump diffuser—Part 2: Validation and limitations of CFD for diffuser flows. ASME J. Fluids Eng. 119, 978–984 (1997)

    Article  Google Scholar 

  31. Muggli, F., Zhang, Z. Schärer, C., Geppert, L.: Numerical and experimental analysis of Pelton turbine flow, Part 2: the free surface jet flow. XX IAHR Symposium, Charlotte (2000)

  32. Parkinson, E., Lestriez, R., Chapuis, L.: Flow calculations in Pelton turbines. Part 1: Repartitor and injector numerical analysis. In: Proceedings of the XIX IAHR Symposium, Singapore (1998)

  33. Parkinson, E., Garcin, H., Vullioud, G., Muggli, F., Zhang, Z., Casartelli, E.: (1) Experimental and numerical investigations of the free jet flow at a model nozzle of a Pelton turbine. In: Proceedings of the XXI IAHR Symposium on Hydraulic Machinery and Systems, Lausanne, Switzerland (2002)

  34. Parkinson, E., Vullioud, G., Geppert, L., Keck, H.: (2) Analysis of Pelton turbine flow patterns for improved runner component interaction. Hydropower Dams (5) (2002)

  35. Parkinson, E., Neury, C., Garcin, H., Vullioud, G., Weiss, Th.: Unsteady analysis of a Pelton runner with flow and mechanical simulatons. Hydro (2005)

  36. Parkinson, E., Angehrn, R., Weiss, Th.: Modern design engineering applied to Pelton runners. Hydropower Dams (4) (2007)

  37. Roache, P.J.: Computational Fluid Dynamics, Hermosa Publishers, Albuquerque, New Mexico (1972)

  38. Sallaberger, M., Staehle, M., Thoma, W., Kiedrowski, T., Krasicki, R., Lewandowski, S.: (2) Major progress in upgrading of reversible pump turbines. In: Proceedings of Hydro, Bern, Switzerland (2000)

  39. Schachenmann, A., Muggli, F., Gühlich, J.: Comparison of three Navier–Stokes codes with lda measurements on an industrial radial pump impeller. In: ASME Fluids Engineering Conference, Washington DC (1993)

  40. Schlichting, H.: Grenzschicht Theorie. Braun Verlag, Karlsruhe, 8. Auflage, Kapitel II, p. 32 (1984)

  41. Schmidl, R.: Contribution to the cavitational optimization of Kaplan blades by numerical flow simulation and evolutionary strategies. Doctoral Thesis, Faculty of Mechanical Engineering, Graz University of Technology, Graz, Austria (2007)

  42. Sebestyen, A., Jaquet, M., Keck, H.: CFD-Design procedure for runner replacement of reversible pump-turbines. In: Proceedings of the XIX IAHR Symposium, Singapore (1998)

  43. Sick, M., Casey, M., Galpin, P.: Validation of a stage calculation in a Francis turbine. In: Proceedings of the XVIII IAHR Symposium, Valencia, Spain (1996)

  44. Sick M., Drtina P., Casey M.V.: The use of stage capability in CFD for turbomachinery, with application in a Francis turbine. Int. J. Comput. Appl. 11(3/4/5), 219–220 (1998)

    Google Scholar 

  45. Sick, M., Schindler, M., Drtina, P., Schärer, C., Keck, H.: (1) Numerical and experimental analysis of Pelton turbine flow. Part 1: Distributor and Injector. XX IAHR Symposium, Charlotte (2000)

  46. Sick, M., Keck, H., Parkinson, E., Vullioud, G.: (2) New challenges in Pelton research. In: Proceedings of Hydro, Bern, Switzerland (2000)

  47. Sick, M., Dörfler, P., Lohmberg, A., Casey, M.: Numerical Simulations of Vortical Flows in Draft Tubes. WCCMV, Vienna, Austria (2002)

  48. Sick, M.: State of the art of CFD based feasibility studies for water turbines. Technology Review for HPLIG (CEATI), CEATI Report No. T042700-0324, Montreal (2004)

  49. Sick, M., Stein, P., Dörfler, P., Sallaberger, M.: Part-load instabilities in francis turbines and pump turbines. Int. J. Hydropower Dams (2005)

  50. Sick, M., Lais, S., Weiss, Th.: Numerical prediction of flow induced dynamic load in water turbines: recent developments and results. In: Proceedings of Hydro2007, Granada, Spain (2007)

  51. Stein, P., Sick, M., Doerfler, P., White, P., Braune, A.: Numerical simulation of the cavitating draft tube vortex in a Francis turbine. In: Proceedings of the XXIII IAHR Symposium, Yokohama (2006)

  52. Stein, P.: Numerical simulation and investigation of draft tube vortex flow. Ph.D. Thesis, Coventry University, Coventry (2007)

  53. Vu, T.C., Nennemann, B., Ausoni, Ph., Farhat, M., Avellan, F.: Unsteady CFD prediction of von Kármán vortex shedding in hydraulic turbine stay vanes. In: Proceedings of Hydro2007, Granada (2007)

  54. Zhang, Zh., Casey, M. V.: Experimental studies of the jet of a Pelton turbine, vol. 221. In: Proc ImechE. Part A J. Power Energy, pp. 1181–1192 (2007)

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Correspondence to Helmut Keck.

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Dedicated to Professor Wilhelm Schneider on the occasion of his 70th birthday

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Keck, H., Sick, M. Thirty years of numerical flow simulation in hydraulic turbomachines. Acta Mech 201, 211–229 (2008). https://doi.org/10.1007/s00707-008-0060-4

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  • DOI: https://doi.org/10.1007/s00707-008-0060-4

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