0
Research Papers: Flows in Complex Systems

Cloud Cavitating Flow Over a Submerged Axisymmetric Projectile and Comparison Between Two-Dimensional RANS and Three-Dimensional Large-Eddy Simulation Methods

[+] Author and Article Information
Yiwei Wang

Key Laboratory for Mechanics in Fluid Solid
Coupling Systems,
Institute of Mechanics,
Chinese Academy of Sciences,
No. 15 Beisihuanxi Road,
Beijing 100190, China
e-mail: wangyw@imech.ac.cn

Chenguang Huang

Key Laboratory for Mechanics in Fluid Solid
Coupling Systems,
Institute of Mechanics,
Chinese Academy of Sciences,
No. 15 Beisihuanxi Road,
Beijing 100190, China
e-mail: huangcg@imech.ac.cn

Xin Fang

The State Key Laboratory of
Nonlinear Mechanics,
Institute of Mechanics,
Chinese Academy of Sciences,
No. 15 Beisihuanxi Road,
Beijing 100190, China

Xianian Yu, Xiaocui Wu, Tezhuan Du

Key Laboratory for Mechanics in Fluid Solid
Coupling Systems,
Institute of Mechanics,
Chinese Academy of Sciences,
No. 15 Beisihuanxi Road,
Beijing 100190, China

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 7, 2015; final manuscript received November 12, 2015; published online February 17, 2016. Assoc. Editor: Samuel Paolucci.

J. Fluids Eng 138(6), 061102 (Feb 17, 2016) (10 pages) Paper No: FE-15-1246; doi: 10.1115/1.4032293 History: Received April 07, 2015; Revised November 12, 2015

For the cloud cavitation around slender axisymmetric projectiles, a two-dimensional (2D) numerical method was based on the mixture approach with Singhal cavitation model and modified renormalization-group (RNG) k–ε turbulence model, and a three-dimensional (3D) method was established with large-eddy simulation (LES) and volume of fraction (VOF) approach. The commercial computational fluid dynamic (CFD) software fluent is used for the 2D simulation, and the open source code OpenFOAM is adopted for the 3D calculation. Experimental and numerical results were presented on a typical case, in which the projectile moves with a quasi-constant axial speed. Simulation results agree well with experimental results. An analysis of the evolution of cavitating flow was performed, and the related physical mechanism was discussed. Results demonstrate that shedding cavity collapse plays an important role in the generation and acceleration of re-entry jet, which is the main reason for the instability of cloud cavitation. The 2D Reynolds-Averaged Navier–Stokes (RANS) method can represent the physical phenomena effectively. The 3D LES method can give an efficient simulation on the shedding vortices, and considerable accurate shapes of shedding cavities are captured.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Brennen, C. E. , 1995, Cavitation and Bubble Dynamics, Oxford University Press, New York, pp. 217–240.
Stutz, B. , and Legoupil, S. , 2003, “ X-Ray Measurements Within Unsteady Cavitation,” Exp. Fluids, 35(2), pp. 130–138. [CrossRef]
Stutz, B. , and Reboud, J. , 1997, “ Experiments on Unsteady Cavitation,” Exp. Fluids, 22(3), pp. 191–198. [CrossRef]
Stutz, B. , and Reboud, J. L. , 2000, “ Measurements Within Unsteady Cavitation,” Exp. Fluids, 29(6), pp. 545–552. [CrossRef]
Callenaere, M. , Franc, J. P. , Michel, J. M. , and Riondet, M. , 2001, “ The Cavitation Instability Induced by the Development of a Re-Entrant Jet,” J. Fluid Mech., 444, pp. 223–256. [CrossRef]
Singhal, A. K. , Athavale, M. M. , Li, H. , and Jiang, Y. , 2002, “ Mathematical Basis and Validation of the Full Cavitation Model,” ASME J. Fluids Eng., 124(3), pp. 617–624. [CrossRef]
Kunz, R. F. , Boger, D. A. , and Stinebring, D. R. , 1998, “ A Preconditioned Navier–Stokes Method for Two-Phase Flows With Application to Cavitation,” Comput. Fluids, 29(8), pp. 849–875. [CrossRef]
Merkle, C. L. , Feng, J. , and Buelow, P. E. O. , 1998, “ Computational Modeling of the Dynamics of Sheet Cavitation,” 3rd International Symposium on Cavitation, Grenoble, France, pp. 47–54.
Arndt, R. E. A. , 2002, “ Cavitation in Vortical Flows,” Annu. Rev. Fluid Mech., 34(1), pp. 143–175. [CrossRef]
Zhou, L. , and Wang, Z. , 2008, “ Numerical Simulation of Cavitation Around a Hydrofoil and Evaluation of a RNG κ-ε Model,” ASME J. Fluids Eng., 130(1), p. 011302. [CrossRef]
Coutier-Delgosha, O. , Stutz, B. , Vabre, A. , and Legoupil, S. , 2007, “ Analysis of Cavitating Flow Structure by Experimental and Numerical Investigations,” J. Fluid Mech., 578, pp. 171–222. [CrossRef]
Coutier-Delgosha, O. , Reboud, J. , and Delannoy, Y. , 2003, “ Numerical Simulation of the Unsteady Behaviour of Cavitating Flows,” Int. J. Numer. Methods Fluids, 42(5), pp. 527–548.
Coutier-Delgosha, O. , Fortes-Patella, R. , and Reboud, J. L. , 2003, “ Evaluation of the Turbulence Model Influence on the Numerical Simulations of Unsteady Cavitation,” ASME J. Fluids Eng., 125(1), pp. 38–45. [CrossRef]
Coutier-Delgosha, O. , Deniset, F. O. , Astolfi, J. A. , and Leroux, J.-B. , 2007, “ Numerical Prediction of Cavitating Flow on a Two-Dimensional Symmetrical Hydrofoil and Comparison to Experiments,” ASME J. Fluids Eng., 129(3), pp. 279–292. [CrossRef]
Wu, J. Y. , Wang, G. Y. , and Shyy, W. , 2005, “ Time-Dependent Turbulent Cavitating Flow Computations With Interfacial Transport and Filter-Based Models,” Int. J. Numer. Methods Fluids, 49(7), pp. 739–761. [CrossRef]
Hu, C. , Wang, G. , Chen, G. , and Huang, B. , 2014, “ A Modified PANS Model for Computations of Unsteady Turbulence Cavitating Flows,” Sci. China Phys. Mech. Astron., 57(10), pp. 1967–1976. [CrossRef]
Ji, B. , Luo, X. , Arndt, R. E. A. , and Wu, Y. , 2014, “ Numerical Simulation of Three Dimensional Cavitation Shedding Dynamics With Special Emphasis on Cavitation-Vortex Interaction,” Ocean Eng., 87, pp. 64–77. [CrossRef]
Huang, B. , Wang, G. Y. , and Zhao, Y. , 2014, “ Numerical Simulation Unsteady Cloud Cavitating Flow With a Filter-Based Density Correction Model,” J. Hydrodyn., 26(1), pp. 26–36. [CrossRef]
Huang, B. , and Wang, G. Y. , 2011, “ Partially Averaged Navier–Stokes Method for Time-Dependent Turbulent Cavitating Flows,” J. Hydrodyn., 23(1), pp. 26–33. [CrossRef]
Ji, B. , Luo, X. , Wu, Y. , Peng, X. , and Xu, H. , 2012, “ Partially-Averaged Navier–Stokes Method With Modified k-Epsilon Model for Cavitating Flow Around a Marine Propeller in a Non-Uniform Wake,” Int. J. Heat Mass Transfer, 55(23–24), pp. 6582–6588. [CrossRef]
Bensow, R. E. , and Bark, G. , 2010, “ Implicit LES Predictions of the Cavitating Flow on a Propeller,” ASME J. Fluids Eng., 132(4), p. 041302. [CrossRef]
Ji, B. , Luo, X. W. , Arndt, R. E. A. , Peng, X. , and Wu, Y. , 2015, “ Large Eddy Simulation and Theoretical Investigations of the Transient Cavitating Vortical Flow Structure Around a NACA66 Hydrofoil,” Int. J. Multiphase Flow, 68, pp. 121–134. [CrossRef]
Wang, G. , and Ostoja-Starzewski, M. , 2007, “ Large Eddy Simulation of a Sheet/Cloud Cavitation on a NACA0015 Hydrofoil,” Appl. Math. Modell., 31(3), pp. 417–447. [CrossRef]
Huang, B. , Zhao, Y. , and Wang, G. , 2014, “ Large Eddy Simulation of Turbulent Vortex-Cavitation Interactions in Transient Sheet/Cloud Cavitating Flows,” Comput. Fluids, 92, pp. 113–124. [CrossRef]
Dittakavi, N. , Chunekar, A. , and Frankel, S. , 2010, “ Large Eddy Simulation of Turbulent-Cavitation Interactions in a Venturi Nozzle,” ASME J. Fluids Eng., 132(12), p. 121301. [CrossRef]
Roohi, E. , Zahiri, A. P. , and Passandideh-Fard, M. , 2013, “ Numerical Simulation of Cavitation Around a Two-Dimensional Hydrofoil Using VOF Method and LES Turbulence Model,” Appl. Math. Model., 37(9), pp. 6469–6488. [CrossRef]
Yu, X. , Huang, C. , Du, T. , Liao, L. , Wu, X. , Zheng, Z. , and Wang, Y. , 2014, “ Study of Characteristics of Cloud Cavity Around Axisymmetric Projectile by Large Eddy Simulation,” ASME J. Fluids Eng., 136(5), p. 051303. [CrossRef]
Ji, B. , Luo, X. , Peng, X. , and Wu, Y. , 2013, “ Three-Dimensional Large Eddy Simulation and Vorticity Analysis of Unsteady Cavitating Flow Around a Twisted Hydrofoil,” J. Hydrodyn., 25(4), pp. 510–519. [CrossRef]
Wei, Y. P. , Wang, Y. W. , Fang, X. , Huang, C. G. , and Duan, Z. P. , 2011, “ A Scaled Underwater Launch System Accomplished by Stress Wave Propagation Technique,” Chin. Phys. Lett., 28(2), p. 024601. [CrossRef]
Dular, M. , Bachert, R. , Stoffel, B. , and Sirok, B. , 2005, “ Experimental Evaluation of Numerical Simulation of Cavitating Flow Around Hydrofoil,” Eur. J. Mech. B/Fluids, 24(4), pp. 522–538. [CrossRef]
Wang, Y. , Huang, C. , Fang, X. , Du, T. , and Yu, X. , 2013, “ Characteristics of the Re-Entry Jet in the Cloud Cavitating Flow Over a Submerged Axisymmetric Projectile (in Chinese),” Chin. J. Hydrodyn., 28(1), pp. 23–29.
Iga, Y. , Hashizume, K. , and Yoshida, Y. , 2011, “ Numerical Analysis of Three Types of Cavitation Surge in Cascade,” ASME J. Fluids Eng., 133(7), p. 071102. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Underwater launch system: 1—SHPB launcher, 2—incident bar, 3—transfer bar, 4—sliding scale, 5—cavitator, 6—strain gauge, 7—bridge and amplifier, 8—data-processing system, 9—high-speed camera, and 10—launch support

Grahic Jump Location
Fig. 2

Schematic diagram of water tank

Grahic Jump Location
Fig. 3

Experimental model in water tank

Grahic Jump Location
Fig. 4

Typical cavitation photograph

Grahic Jump Location
Fig. 5

Computational domain and mesh

Grahic Jump Location
Fig. 6

Computational domain of the 3D method

Grahic Jump Location
Fig. 7

Mesh near the head of the vehicle of the 3D method

Grahic Jump Location
Fig. 8

Typical cavitation patterns in stage 1 and 2

Grahic Jump Location
Fig. 9

Time evolution of cavitation patterns obtained from the experiment and simulation

Grahic Jump Location
Fig. 10

Numerical and experimental results of cavity length and thickness

Grahic Jump Location
Fig. 11

Time sequence of pressure and velocity distributions along the line paralleled to the axis (1)

Grahic Jump Location
Fig. 12

Time sequence of pressure and velocity distributions along the line paralleled to the axis (2)

Grahic Jump Location
Fig. 13

Time history pressure coefficients at different points along the wall

Grahic Jump Location
Fig. 14

Time sequence of pressure and velocity distributions in the flow field

Grahic Jump Location
Fig. 15

Time sequence of turbulent kinetic energy contours

Grahic Jump Location
Fig. 16

Time sequence of vorticity magnitude contours on the slice of the 3D results

Grahic Jump Location
Fig. 17

Time sequence of the isosurfaces on which the vorticity magnitude is 5000 s−1

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In