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Comparative study of incompressible and isothermal compressible flow solvers for cavitating flow dynamics

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Abstract

Incompressible flow solvers are generally used for numerical analysis of cavitating flows, but with limitations in handling compressibility effects on vapor phase. To study compressibility effects on vapor phase and cavity interface, pressure-based incompressible and isothermal compressible flow solvers based on a cell-centered finite volume method were developed using the OpenFOAM libraries. To validate the solvers, cavitating flow around a hemispherical head-form body was simulated and validated against the experimental data. The cavity shedding behavior, length of a re-entrant jet, drag history, and the Strouhal number were compared between the two solvers. The results confirmed that computations of the cavitating flow including compressibility effects improved the reproduction of cavitation dynamics.

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References

  1. C. L. Merkle, J. Feng and P. E. O. Buelow, Computational modeling of the dynamics of sheet cavitation, Proc. of the 3rd International Symposium on Cavitation, Grenoble, France (1998).

    Google Scholar 

  2. R. F. Kunz, D. A. Boger, D. R. Stinebring, T. S. Chyczewski, J. W. Lindau, H. J. Gibeling, S. Venkateswaran and T. R. Govindan, A preconditioned Navier-Stokes method for twophase flows with application to cavitation prediction, Computers and Fluids, 29 (2000) 849–875.

    Article  MATH  Google Scholar 

  3. W. Yuan, J. Sauer and G. H. Schnerr, Modeling and computation of unsteady cavitation flows in injection nozzles, Mécanique & Industries, 2 (2001) 383–394.

    Article  Google Scholar 

  4. A. K. Singhal, M. M. Athavale, H. Li and Y. Jiang, Mathematical basis and validation of the full cavitation model, J. of Fluids Engineering, 124 (2002) 617–624.

    Article  Google Scholar 

  5. B. Y. Kang and S. H. Kang, Effect of the flat tank bottom on performance and cavitation characteristics of a cargo pump, JMST, 28 (8) (2014) 3051–3057.

    Google Scholar 

  6. M. S. Jin, W. G. Park and C. M. Jung, Numerical analysis of cavitating flow past an axisymmetric cylinder with comparison to experiments, JMST, 27 (12) (2013) 3673–3681.

    Google Scholar 

  7. B. Ji, X. W. Luo, R. E. A. Arndt and Y. L. Wu, Numerical simulation of three dimensional cavitation shedding dynamics with special emphasis on cavitation-vortex interaction, Ocean Engineering, 87 (2014) 64–77.

    Article  Google Scholar 

  8. B. Ji, X. W. Luo, R. E. A. Arndt, X. X. Peng and Y. L. Wu, Large Eddy Simulation and theoretical investigations of the transient cavitating vortical flow structure around a NACA66 hydrofoil, International J. of Multiphase Flow, 68 (2015) 121–134.

    Article  MathSciNet  Google Scholar 

  9. B. R. Shin, S. Yamamoto and X. Yuan, Application of preconditioning method to gas-liquid two-phase flow computations, J. of Fluids Engineering, 126 (2004) 605–612.

    Article  Google Scholar 

  10. N. Dittakavi, A. Chunekar and S. Frankel, Large eddy simulation of turbulent-cavitation interactions in a Venturi nozzle, J. of Fluids Engineering, 132 (2010) 121301.

  11. B. R. Shin, A high resolution numerical scheme for a high speed gas-liquid two-phase flow, JMST, 25 (5) (2013) 1373–1379.

    Google Scholar 

  12. J. Rincon and R. Elder, A high-resolution pressure-based method for compressible flows, Computers and Fluids, 26 (3) (1997) 217–231.

    Article  MATH  Google Scholar 

  13. R. I. Issa and M. H. Javareshkian, Pressure-based compressible calculation method utilizing total variation diminishing schemes, AIAA J., 36 (9) (1998) 1652–1657.

    Article  Google Scholar 

  14. M. Darbandi, E. Roohi and V. Mokarizadeh, Conceptual linearization of Euler governing equations to solve high speed compressible flow using a pressure-based method, Numerical Methods for Partial Differential Equations, 24 (2008) 583–604.

    Article  MathSciNet  MATH  Google Scholar 

  15. K. Javadi, M. Darbandi and M. Taeibi-Rahni, Threedimensional compressible-incompressible turbulent flow simulation using a pressure-based algorithm, Computers and Fluids, 37 (2008) 747–766.

    Article  MATH  Google Scholar 

  16. S. Y. Kadioglu and M. Sussman, Adaptive solution techniques for simulating underwater explosions and implosions, J. of Computational Physics, 227 (2008) 2083–2104.

    Article  MathSciNet  MATH  Google Scholar 

  17. O. Coutier-Delgosha, R. Fortes-Patella and J. L. Rebound, Evaluation of the turbulence model influence on the numerical simulations of unsteady cavitation, J. of Fluids Engineering, 125 (2003) 38–45.

    Article  Google Scholar 

  18. S. Venkateswaran, J. W. Lindau, R. F. Kunz and C. L. Merkle, Computation of multiphase mixture flows with compressibility effects, J. of Computational Physics, 180 (2002) 54–77.

    Article  MATH  Google Scholar 

  19. E. Goncalves, M. Champagnac and R. F. Patella, Comparison of numerical solvers for cavitating flows, International J. of Computational Fluid Dynamics, 24 (6) (2010) 201–216.

    Article  MATH  Google Scholar 

  20. S. Park and S. H. Rhee, Computational analysis of turbulent super-cavitating flow around a two-dimensional wedgeshaped cavitator geometry, Computers & Fluids, 70 (2012) 73–85.

    Article  Google Scholar 

  21. S. Park and S. H. Rhee, Numerical analysis of the threedimensional cloud cavitating flow around a twisted hydrofoil, Fluid Dynamics Research, 45 (1) (2013) 015502.

    Google Scholar 

  22. H. Jasak, OpenFOAM: Open source CFD in research and industry, International J. of Naval Architecture and Ocean Engineering, 1 (2009) 89–94.

    Article  Google Scholar 

  23. B. E. Launder and D. B. Spalding, Lectures in mathematical models of turbulence, Academic Press, London, UK (1972).

    MATH  Google Scholar 

  24. S. Park, S. W. Park, S. H. Rhee, S. B. Lee, J. E. Choi and S. H. Kang, Investigation on the wall function implementation for the prediction of ship resistance, International J. of Naval Architecture and Ocean Engineering, 5 (2013) 33–14.

    Article  Google Scholar 

  25. N. C. Markatos and A. K. Singhal, Numerical analysis of one-dimensional, two-phase flow in a vertical cylindrical passage, Advances in Engineering Software, 4 (3) (1982) 99–106.

    Google Scholar 

  26. S. E. Kim and S. Brewton, A multiphase approach to turbulent cavitating flows, Proc. of 27th Symposium on Naval Hydrodynamics, Seoul, Korea (2008).

    Google Scholar 

  27. I. Senocak and W. Shyy, A pressure-based method for turbulent cavitating flow computations, J. of Computational Physics, 176 (2002) 363–383.

    Article  MATH  Google Scholar 

  28. R. I. Issa RI, Solution of implicitly discretized fluid flow equations by operator splitting, J. of Computational Physics, 62 (1985) 40–65.

    Article  Google Scholar 

  29. B. van Leer, Towards the ultimate conservative difference scheme, J. of Computational Physics, 32 (1) (1979) 101–136.

    Article  Google Scholar 

  30. H. Rouse and J. S. McNown, Cavitation and pressure distribution in engineering, Bulletin 32, State University of Iowa, USA (1948).

    Google Scholar 

  31. D. R. Stinebring, M. L. Billet and J. W. Holl, An investigation of cavity cycling for ventilated and natural cavities, TM 83–13, Pennsylvania State University Press, USA (1983).

    Google Scholar 

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Correspondence to Shin Hyung Rhee.

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Recommended by Editor Dongshin Shin

Sunho Park received his B.S. at Inha University, Korea, in 2000. He obtained his M.S. and Ph.D. at Seoul National University, Korea, in 2002 and 2013, respectively. He is currently a Professor in the Department of Ocean Engineering at Korea Maritime and Ocean University, Korea. His research interests are in the areas of computational fluid dynamics, multi-phase flow, and offshore plant engineering.

Shin Hyung Rhee received his B.S. and M.S from the Department of Naval Architecture and Ocean Engineering at Seoul National University, Korea, in 1990 and 1992, respectively. He obtained his Ph.D. in Mechanical Engineering from University of Iowa, USA, in 1998. He is currently a Professor in the Department of Naval Architecture and Ocean Engineering at Seoul National University, Korea. His research interests are in the areas of computational fluid dynamics, towing tank experiments and multi-phase flow.

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Park, S., Rhee, S.H. Comparative study of incompressible and isothermal compressible flow solvers for cavitating flow dynamics. J Mech Sci Technol 29, 3287–3296 (2015). https://doi.org/10.1007/s12206-015-0727-4

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  • DOI: https://doi.org/10.1007/s12206-015-0727-4

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