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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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.
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.
Lucy, L. B. (1977). A numerical approach to the testing of the fission hypothesis. Astronomical Journal, 82, 1013–1024.
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.
Batchelor, G. (1967). An introduction to fluid dynamics. Cambridge: Cambridge University Press.
Vila, J. P. (1999). On particle weighted methods and smooth particle hydrodynamics. Mathematical Models and Methods in Applied Sciences, 9, 161–209.
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.
Abbot, I., & von Doenhoff, A. (1949). Theory of wing sections. Including a summary of airfoil data. New York: Dover Publications.
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.
Colagrossi, A., Bouscasse, B., Antuono, M., & Marrone, S. (2012). Particle packing algorithm for SPH schemes. Computer Physics Communications, 183, 1641–1653.
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/.
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.
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.
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.
Liou, M.-S. (2006). A sequel to AUSM, Part II: AUSM + -up for all speeds. Journal of Computational Physics, 214, 137–170.
Randles, R. W. (1996). Libertsky, smoothed particle hydrodynamics, some recent improvements and applications. Computer Methods in Applied Mechanics and Engineering, 139, 375–408.
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-981-4451-42-0_29
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-4451-41-3
Online ISBN: 978-981-4451-42-0
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)