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Simulations of Rotor–Stator Interactions with SPH-ALE

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Advances in Hydroinformatics

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Abstract

Smoothed particle hydrodynamics (SPH) is known to be well adapted for the simulation of dynamic free surface flow. This paper examines the applicability of a weakly compressible SPH Arbitrary Lagrange Euler (ALE) method to the simulation of transient flows in hydraulic machines. The novelty of the approach is to use the properties of SPH-ALE in order to simulate rotor–stator interactions without a rotor–stator interface. Due to the ALE formalism, the particle velocity is a free parameter and can be chosen independently of the flow velocity. Instead of a rotor–stator interface, we have blocks of particles with different particle velocities. To validate the results, the flow field around a static airfoil and the pressure coefficient on the profile are compared with the results of an in-house Euler solver which is an inviscid finite volume code. Results of transient simulations prove the capability of the method to detect unsteady pressure waves and emphasize its applicability to study global phenomena in multistage machines.

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References

  1. Marongiu, J.-C., Leboeuf, F., Parkinson, E. (2011). On the use of the SPH-ALE meshless method to simulate free surface flows in Pelton hydraulic turbines. Proceeding of the 9th European turbomachinery conference, Istanbul.

    Google Scholar 

  2. Leduc, J., Leboeuf, F., Lance, M., Parkinson, E., & Marongiu, J.-C. (2010). A SPH-ALE method to model multiphase flows with surface tension. Proceeding 7th international conference on multiphase flow, Tampa.

    Google Scholar 

  3. Lucy, L. B. (1977). A numerical approach to the testing of the fission hypothesis. Astronomical Journal, 82, 1013–1024.

    Article  Google Scholar 

  4. Gingold, R. A., & Monaghan, J. J. (1977). Smoothed particle hydrodynamic: Theory and application to non-spherical stars. Monthly Notices of the Royal Astronomical Society, 181, 375–389.

    MATH  Google Scholar 

  5. Batchelor, G. (1967). An introduction to fluid dynamics. Cambridge: Cambridge University Press.

    MATH  Google Scholar 

  6. Vila, J. P. (1999). On particle weighted methods and smooth particle hydrodynamics. Mathematical Models and Methods in Applied Sciences, 9, 161–209.

    Article  MathSciNet  MATH  Google Scholar 

  7. Marongiu, J.-C., Leboeuf, F., & Parkinson, E. (2008). Riemann solvers and efficient boundary treatments: An hybrid SPH-finite volume numerical method. Proceeding 3rd international SPHERIC workshop, Lausanne.

    Google Scholar 

  8. Abbot, I., & von Doenhoff, A. (1949). Theory of wing sections. Including a summary of airfoil data. New York: Dover Publications.

    Google Scholar 

  9. Ghidaglia, J.-M., & Pascal, F. (2005). The normal flux method at the boundary of multidimensional finite volume approximations in CFD. European Journal of Mechanics B/Fluids, 24, 1–17.

    Article  MathSciNet  MATH  Google Scholar 

  10. Colagrossi, A., Bouscasse, B., Antuono, M., & Marrone, S. (2012). Particle packing algorithm for SPH schemes. Computer Physics Communications, 183, 1641–1653.

    Article  MathSciNet  Google Scholar 

  11. Gehrer, A. (1999). Entwicklung eines 3D-Navier-Stokes Codes zur numerischen Berechnung der Turbomaschinenstroemung, PhD Thesis, Technical University Graz. http://www.ttm.tugraz.at/arno/.

  12. De Leffe, M. (2011). Modelisation d’ecoulements visqueux par methode SPH en vue d’application à l’hydrodynamique navale, PhD Thesis, Ecole Centrale de Nantes.

    Google Scholar 

  13. Guillard, H., & Murrone, A. (2004). On the behavior of upwind schemes in the low Mach number limit II: Godunov type schemes. Computers & Fluids, 33, 655–675.

    Article  MATH  Google Scholar 

  14. Marongiu, J.-C., Leboeuf, F., Caro, J., & Parkinson, E. (2009). Low Mach number numerical schemes for the SPH-ALE method. Application in free surface flows in Pelton turbines. Proceeding 4th international SPHERIC workshop, Nantes.

    Google Scholar 

  15. Liou, M.-S. (2006). A sequel to AUSM, Part II: AUSM + -up for all speeds. Journal of Computational Physics, 214, 137–170.

    Article  MathSciNet  MATH  Google Scholar 

  16. Randles, R. W. (1996). Libertsky, smoothed particle hydrodynamics, some recent improvements and applications. Computer Methods in Applied Mechanics and Engineering, 139, 375–408.

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgments

The authors would like to thank the Association Nationale Recherche Technologie (ANRT), These 1120/2010, the Consortium Industrie-Recherche en Turbomachines (CIRT), and the ERG (No. 267072). Many thanks to Dr. Arno Gehrer from ANDRITZ Pumps R&D Graz for providing the inviscid reference solution with an in-house finite volume code and to Dr. Martin Rentschler from ANDRITZ Hydro R&D Vevey for the result of the Pelton casing simulation. We further wish to thank Alexandre Dodier for the generation of the NACA geometry and his help with the preparation of the test cases.

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Correspondence to Magdalena Neuhauser .

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Neuhauser, M., Leboeuf, F., Marongiu, JC., Parkinson, E., Robb, D. (2014). Simulations of Rotor–Stator Interactions with SPH-ALE. In: Gourbesville, P., Cunge, J., Caignaert, G. (eds) Advances in Hydroinformatics. Springer Hydrogeology. Springer, Singapore. https://doi.org/10.1007/978-981-4451-42-0_29

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