Dörfler, P.
,
Sick, M.
, and
Coutu, A.
, 2013, “Flow-Induced Pulsation and Vibration in Hydroelectric Machinery,” Springer, London.

Vu, T. C.
,
Koller, M.
,
Gauthier, M.
, and
Deschênes, C.
, 2010, “Flow Simulation and Efficiency Hill Chart Prediction for a Propeller Turbine,” IOP Conf. Ser.: Earth Environ. Sci., 12(1), p. 012040.

[CrossRef]
Susan-Resiga, R. F.
,
Muntean, S.
,
Avellan, F.
, and
Anton, I.
, 2011, “Mathematical Modeling of Swirling Flow in Hydraulic Turbines for the Full Operating Range,” Appl. Math. Modell., 35(10), pp. 4759–4773.

[CrossRef]
Foroutan, H.
, and
Yavuzkurt, S.
, 2014, “Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part I: Simulation of the Vortex Rope,” ASME J. Appl. Mech., 81(6), p. 061010.

[CrossRef]
Zobeiri, A.
, 2009, “Investigations of Time Dependent Flow Phenomena in a Turbine and a Pump-Turbine of Francis Type: Rotor Stator Interactions and Precessing Vortex Rope,” Ph.D. dissertation, Paper No. 4272, EPFL.

Mauri, S.
, 2002, “Numerical Simulation and Flow Analysis of an Elbow Diffuser,” Ph.D. dissertation, Paper No. 2527, EPFL.

Foroutan, H.
, and
Yavuzkurt, S.
, 2012, “Simulation of Flow in a Simplified Draft Tube: Turbulence Closure Considerations,” IOP Conf. Ser.: Earth Environ. Sci., 15(1), p. 022020.

[CrossRef]
Ciocan, G. D.
,
Iliescu, M. S.
,
Vu, T. C.
,
Nennemann, B.
, and
Avellan, F.
, 2007, “Experimental Study and Numerical Simulation of the FLINDT Draft Tube Rotating Vortex,” ASME J. Fluids Eng., 129(2), pp. 146–158.

[CrossRef]
Zhang, R. K.
,
Mao, F.
,
Wu, J. Z.
,
Chen, S. Y.
,
Wu, Y. L.
, and
Liu, S. H.
, 2009, “Characteristics and Control of the Draft-Tube Flow in Part-Load Francis Turbine,” ASME J. Fluids Eng., 131(2), p. 021101.

[CrossRef]
Sick, M.
,
Michler, W.
,
Weiss, T.
, and
Keck, H.
, 2009, “Recent Developments in the Dynamic Analysis of Water Turbines,” Proc. Inst. Mech. Eng. Part A, 223(4), pp. 415–427.

[CrossRef]
Vu, T. C.
,
Devals, C.
,
Zhang, Y.
,
Nennemann, B.
, and
Guibault, F.
, 2011, “Steady and Unsteady Flow Computation in an Elbow Draft Tube With Experimental Validation,” Int. J. Fluid Mach. Syst., 4(1), pp. 85–96.

[CrossRef]
Ruprecht, A.
,
Helmrich, T.
,
Aschenbrenner, T.
, and
Scherer, T.
, 2002, “Simulation of Vortex Rope in a Turbine Draft Tube,” Proceedings of 21st IAHR Symposium on Hydraulic Machinery and Systems, Lausanne, Switzerland, pp. 1–8.

Paik, J.
,
Sotiropoulos, F.
, and
Sale, M.
, 2005, “Numerical Simulation of Swirling Flow in Complex Hydroturbine Draft Tube Using Unsteady Statistical Turbulence Models,” J. Hydraul. Eng., 131(6), pp. 441–456.

[CrossRef]
Jošt, D.
, and
Lipej, A.
, 2011, “Numerical Prediction of Non-Cavitating and Cavitating Vortex Rope in a Francis Turbine Draft Tube,” J. Mech. Eng., 57, pp. 445–456.

[CrossRef]
Foroutan, H.
, and
Yavuzkurt, S.
, 2014, “A Partially-Averaged Navier–Stokes Model for the Simulation of Turbulent Swirling Flow With Vortex Breakdown,” Int. J. Heat Fluid Flow, 50, pp. 402–416.

[CrossRef]
Girimaji, S. S.
, 2006, “Partially-Averaged Navier–Stokes Model for Turbulence: A Reynolds-Averaged Navier–Stokes to Direct Numerical Simulation Bridging Method,” ASME J. Appl. Mech., 73(3), pp. 413–421.

[CrossRef]
Chen, Y. S.
, and
Kim, S. W.
, 1987, “Computation of Turbulent Flows Using an Extended *k-ε* Turbulence Closure Model,” Report No. NASA CR-179204.

Han, X.
,
Krajnović, S.
, and
Basara, B.
, 2013, “Study of Active Flow Control for a Simplified Vehicle Model Using the PANS Method,” Int. J. Heat Fluid Flow, 42, pp. 139–150.

[CrossRef]
Avellan, F.
, 2000, “Flow Investigation in a Francis Draft Tube: The FLINDT Project,” Proceedings of the 20th IAHR Symposium on Hydraulic Machinery and Systems, Charlotte, NC.

Foroutan, H.
, and
Yavuzkurt, S.
, 2014, “Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope,” ASME J. Appl. Mech., 81(6), p. 061011.

[CrossRef]
Susan-Resiga, R.
,
Muntean, S.
,
Hasmatsuchi, V.
,
Anton, I.
, and
Avellan, F.
, 2010, “Analysis and Prevention of Vortex Breakdown in the Simplified Discharge Cone of a Francis Turbine,” ASME J. Fluids Eng., 132(5), p. 051102.

[CrossRef]
Arpe, J.
, 2003, “Analyse du Champ de Pression Pariétale d'un Diffuseur Coudé de Turbine Francis,” Ph.D. dissertation, Paper No. 2779, EPFL.

Stein, P.
,
Sick, M.
,
Dörfler, P.
,
White, P.
, and
Braune, A.
, 2006, “Numerical Simulation of the Cavitating Draft Tube Vortex in a Francis Turbine,” Proceedings of the 23rd IAHR Symposium on Hydraulic Machinery and Systems, Yokohama, Japan.

Wilcox, D. C.
, 2006, “Turbulence Modeling for CFD,” DCW Industries, La Canada, CA.

Alligné, S.
, 2011, “Forced and Self-Oscillations of Hydraulic Systems Induced by Cavitation Vortex Rope of Francis Turbines,” Ph.D. dissertation, Paper No. 5117, EPFL.

Avellan, F.
, 2004, “Introduction to Cavitation in Hydraulic Machinery,” Proceedings of the 6th International Conference on Hydraulic Machinery and Hydrodynamics, Timisoara, Romania, pp. 11–22.

Mauri, S.
,
Avellan, F.
, and
Kueny, J. L.
, 2000, “Numerical Prediction of the Flow in a Turbine Draft Tube: Influence of the Boundary Conditions,” Proceedings of the ASME Fluids Engineering Division Summer Meeting, Boston, MA, Paper No. FEDSM2000-11056, pp. 1–7.

ANSYS, 2011, “
ansys fluent 14.0 User's Guide,” Ansys Inc., Canonsburg, PA.

Dörfler, P. K.
, 1994, “Observation of the Pressure Pulsation on Francis Model Turbine With High Specific Speed,” Int. J. Hydropower Dams, pp. 21–26.

American Society of Civil Engineers Hydropower Task Committee, 2007, “Civil Works for Hydroelectric Facilities: Guidelines for Life Extension and Upgrade,” ASCE Publications, Reston, VA.