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Vortex tuning of a submarine by Liutex force field model

  • Special Column on the Liutex Force Field Model (Guest Editor De-Cheng Wan)
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Abstract

Vortical structures of a submarine with appendages are fully turbulent and complex. Thus, flow control and vortex manipulation are of great importance for the hydrodynamic performance and acoustic characteristics. Take the generic submarine model DARPA Suboff as the test case, a vortex tuning method based on the Liutex force field is proposed to manipulate the vorticity field. Viscous flow past the submarine model in straight-line motion at a Reynolds number of 1.2×107 is achieved by solving the Reynolds averaged Navier-Stokes (RANS) equations. Multi-block structured mesh topology is used to discretize the computational domain, and the shear stress transport (SST) k - ω turbulence model is implemented to close the equations. The control of vortex is achieved by introducing additional source terms based on Liutex vortex definition and identification system to the RANS equations. The resistance acting on the submarine, flow field as well as the vortical structures are compared and analyzed. Results show that Liutex force model can effectively reduce the resistance by 9.31% and change the vortical structures apparently.

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References

  1. Ashok A., Van B. T., Smits A. J. The structure of the wake generated by a submarine model in yaw [J]. Experiments in Fluids, 2015, 56(6): 123.

    Article  Google Scholar 

  2. Martin J. E., Michael T., Carrica P. M. Submarine maneuvers using direct overset simulation of appendages and propeller and coupled CFD/potential flow propeller solver [J]. Journal of Ship Research, 2015, 59(1): 31–48.

    Article  Google Scholar 

  3. Phillips A. B., Turnock S. R., Furlong M. Influence of turbulence closure models on the vortical flow field around a submarine body undergoing steady drift [J]. Journal of Marine Science and Technology, 2010, 15(3): 201–217.

    Article  Google Scholar 

  4. Jimenez J. M., Hultmark M., Smits A. J. The intermediate wake of a body of revolution at high Reynolds numbers [J]. Journal of Fluid Mechanics, 2010, 659: 516–539.

    Article  Google Scholar 

  5. Ashok A., Van B. T., Smits A. J. Asymmetries in the wake of a submarine model in pitch [J]. Journal of Fluid Mechanics, 2015, 774: 416–442.

    Article  Google Scholar 

  6. Shariati S. K., Mousavizadegan S. H. The effect of appendages on the hydrodynamic characteristics of an underwater vehicle near the free surface [J]. Applied Ocean Research, 2017, 67: 31–43.

    Article  Google Scholar 

  7. Doyle R., Jeans T. L., Holloway A. G. L., et al. URANS simulations of an axisymmetric submarine hull undergoing dynamic sway [J]. Ocean Engineering, 2019, 172: 155–169.

    Article  Google Scholar 

  8. Posa A., Balaras E. A numerical investigation about the effects of Reynolds number on the flow around an appended axisymmetric body of revolution [J]. Journal of Fluid Mechanics, 2020, 884: A41.

    Article  MathSciNet  Google Scholar 

  9. Posa A., Balaras E. Large-eddy simulations of a notional submarine in towed and self-propelled configurations [J]. Computers and Fluids, 2018, 165: 116–126.

    Article  MathSciNet  Google Scholar 

  10. Fureby C., Anderson B., Clarke D. et al. Experimental and numerical study of a generic conventional submarine at 10° yaw [J]. Ocean Engineering, 2016, 116: 1–20.

    Article  Google Scholar 

  11. Dubbioso G., Broglia R., Zaghi S. CFD analysis of turning abilities of a submarine model [J]. Ocean engineering, 2017, 129: 459–479.

    Article  Google Scholar 

  12. Chase N., Michael T., Carrica P. M. Overset simulation of a submarine and propeller in towed, self-propelled and maneuvering conditions [J]. International Shipbuilding Progress, 2013, 60(1-4): 171–205.

    Google Scholar 

  13. Liu Z. H., Xiong Y., Wang Z. Z. et al. Numerical simulation and experimental study of the new method of horseshoe vortex control [J]. Journal of Hydrodynamics, 2010, 22(4): 572–581.

    Article  Google Scholar 

  14. Liu Z., Xiong Y., Tu C. Method to control unsteady force of submarine propeller based on the control of horseshoe vortex [J]. Journal of Ship Research, 2012, 56(1): 12–22.

    Article  Google Scholar 

  15. Liu Z. H., Xiong Y., Tu C. X. The method to control the submarine horseshoe vortex by breaking the vortex core [J]. Journal of Hydrodynamics, 2014, 26(4): 637–645.

    Article  Google Scholar 

  16. Liu Y., Li Y., Shang D. The hydrodynamic noise suppression of a scaled submarine model by leading-edge serrations [J]. Journal of Marine Science and Engineering, 2019, 7(3): 68.

    Article  Google Scholar 

  17. Saeidinezhad A., Dehghan A. A., Dehghan M. M. Nose shape effect on the visualized flow field around an axisymmetric body of revolution at incidence [J]. Journal of Visualization, 2015, 18(1): 83–93.

    Article  Google Scholar 

  18. Manshadi M. D., Hejranfar K., Farajollahi A. H. Effect of vortex generators on hydrodynamic behavior of an underwater axisymmetric hull at high angles of attack [J]. Journal of Visualization, 2017, 20(3): 559–579.

    Article  Google Scholar 

  19. Yu H. D., Wang Y. Q. Liutex-based vortex dynamics: A preliminary study [J]. Journal of Hydrodynamics, 2020, 32(6): 1217–1220.

    Article  Google Scholar 

  20. Wang Y. Q., Yu H. D., Zhao W. W. et al. Liutex-based vortex control with implications for cavitation suppression [J]. Journal of Hydrodynamics, 2021, 33(1): 74–85.

    Article  Google Scholar 

  21. Zhao W. W., Wang Y. Q., Chen S. T. et al. Parametric study of Liutex-based force field models [J]. Journal of Hydrodynamics, 2021, 33(1): 86–92.

    Article  Google Scholar 

  22. Liu C., Gao Y., Tian S., et al. Rortex—A new vortex vector definition and vorticity tensor and vector decompositions [J]. Physics of Fluids, 2018, 30(3): 35103.

    Article  Google Scholar 

  23. Wang Y. Q., Gao Y. S., Xu H. et al. Liutex theoretical system and six core elements of vortex identification [J]. Journal of Hydrodynamics, 2020, 32(2): 197–211.

    Article  Google Scholar 

  24. Zhao W. W., Wang J. H., Wan D. C. Vortex identification methods in marine hydrodynamics [J]. Journal of Hydrodynamics, 2020, 32(2): 286–295.

    Article  Google Scholar 

  25. Xu W., Gao Y., Deng Y. et al. An explicit expression for the calculation of the Rortex vector [J]. Physics of Fluids, 2019, 31(9): 95102.

    Article  Google Scholar 

  26. Chase N. Simulations of the DARPA Suboff submarine including self-propulsion with the E1619 propeller [D]. Master Thesis, Iowa City, USA: University of Iowa, 2012.

    Google Scholar 

  27. Cao L. S., Huang F. L., Liu C. et al. Vortical structures and wakes of a sphere in homogeneous and density stratified fluid [J]. Journal of Hydrodynamics, 2021, 33(2): 207–215.

    Article  Google Scholar 

Download references

Acknowledgement

This work was supported by the Oceanic Interdisciplinary Program of Shanghai Jiao Tong University (Grant No. SL2020PT104).

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Authors and Affiliations

  1. Computational Marine Hydrodynamics Lab (CMHL), School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Liu-shuai Cao, Song-tao Chen & De-cheng Wan

  2. Ocean College, Zhejiang University, Zhoushan, 316021, China

    De-cheng Wan

  3. School of Mathematical Science, Soochow University, Suzhou, 215006, China

    Yi-qian Wang

Authors
  1. Liu-shuai Cao
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  2. Song-tao Chen
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  3. De-cheng Wan
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  4. Yi-qian Wang
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Corresponding author

Correspondence to De-cheng Wan.

Additional information

Projects supported by the National Natural Science Foundation of China (Grant Nos. 52001210, 51879159), the National Key Research and Development Program of China (Grant Nos. 2019YFB1704200, 2019YFC0312400).

Biography: Liu-shuai Cao (1990-), Male, Ph. D., Assistant Professor

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Cao, Ls., Chen, St., Wan, Dc. et al. Vortex tuning of a submarine by Liutex force field model. J Hydrodyn 33, 503–509 (2021). https://doi.org/10.1007/s42241-021-0055-3

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  • DOI: https://doi.org/10.1007/s42241-021-0055-3

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