Skip to main content
Log in

Numerical investigation of submarine hydrodynamics and flow field in steady turn

  • Published:
China Ocean Engineering Aims and scope Submit manuscript

Abstract

This paper presents numerical simulations of viscous flow past a submarine model in steady turn by solving the Reynolds-Averaged Navier-Stokes Equations (RANSE) for incompressible, steady flows. The rotating coordinate system was adopted to deal with the rotation problem. The Coriolis force and centrifugal force due to the computation in a bodyfixed rotating frame of reference were treated explicitly and added to momentum equations as source terms. Furthermore, velocities of entrances were coded to give the correct magnitude and direction needed. Two turbulence closure models (TCMs), the RNG κ - ε model with wall functions and curvature correction and the Shear Stress Transport (SST) κ - ω model without the use of wall functions, but with curvature correction and low-Re correction were introduced, respectively. Take DARPA SUBOFF model as the test case, a series of drift angle varying between 0° and 16° at a Reynolds number of 6.53×106 undergoing rotating arm test simulations were conducted. The computed forces and moment as a function of drift angle during the steady turn are mostly in close agreement with available experimental data. Though the difference between the pressure coefficients around the hull form was observed, they always show the same trend. It was demonstrated that using sufficiently fine grids and advanced turbulence models will lead to accurate prediction of the flow field as well as the forces and moments on the hull.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Alessandrini, B. and Delhommeau, G., 1998. Viscous free surface flow past a ship in drift and in rotating motion, Proceedings of 22nd Symposium on Naval Hydrodynamics, Washington, USA.

    Google Scholar 

  • ANSYS, 2012. ANSYS 14.5 Help, ANSYS Inc.

    Google Scholar 

  • Batchelor, G. K., 1967. An Introduction to Fluid Mechanics, Cambridge University Press.

    Google Scholar 

  • Carrica, P. M., Sadat-Hosseini, H. and Stern, F., 2012. CFD analysis of broaching for a model surface combatant with explicit simulation of moving rudders and rotating propellers, Comput. Fluids, 53, 117–132.

    Article  MATH  Google Scholar 

  • De Barros, E. A., Dantas, J. L., Pascoal, A. M. and de Sá, E., 2008. Investigation of normal force and moment coefficients for an AUV at nonlinear angle of attack and sideslip range, IEEE J. Oceanic Eng., 33(4): 538–549.

    Article  Google Scholar 

  • Groves, N. C., Huang, T. T. and Chang, M. S., 1989. Geometric Characteristics of DARPA SUBOFF Models: (DTRC Model Nos. 5470 and 5471), David Taylor Research Center.

    Google Scholar 

  • Hochbaum, A. C., 1998. Computation of the turbulent flow around a ship model in steady turn and in steady oblique motion, Proceedings of 22nd Symposium on Naval Hydrodynamics, Washington, USA.

    Google Scholar 

  • Hu, Z. Q. and Lin, Y., 2008. Computing the hydrodynamic coefficients of underwater vehicles based on added momentum sources, Proceedings of the 18th International Offshore and Polar Engineering Conference, Vancouver, BC, Canada.

    Google Scholar 

  • Huang, T. and Liu, H. L., 1994. Measurements of flows over an axisymmetric body with various appendages in a wind tunnel: the DARPA SUBOFF experimental program, David Taylor Research Center.

    Google Scholar 

  • ITTC Quality Manual, 1999. Uncertainty analysis in CFD, guidelines for RANS codes, Interim Recommended Procedure Prepared by Resistance Committee of 22nd ITTC.

    Google Scholar 

  • Kim, K. H., Gorski, J., Miller, R., Wilson, R., Stern, F., Hyman, M. and Burg, C., 2003. Simulation of surface ship dynamics, Proceedings of User Group Conference, IEEE.

    Google Scholar 

  • Liu, S., Ge, T. and Zhao, M., 2011. Simulation for submarine rotating-arm test based on added momentum source method, Journal of Dalian Maritime University, 37(2): 1–4. (in Chinese)

    MATH  Google Scholar 

  • Lu, J. G., Liang, Z. G., Wu, F. L. and Zhou, Y. M., 2011. Numerical calculation on hydrodynamic performance of the submerged vehicle in turning motion, Chinese Journal of Ship Research, 6(6): 8–12. (in Chinese)

    Google Scholar 

  • Marshallsay, P. G. and Eriksson, A. M., 2012. Use of computational fluid dynamics as a tool to assess the hydrodynamic performance of a submarine, Proceedings of the 18th Australasian Fluid Mechanics Conference, Launceston, Australia.

    Google Scholar 

  • Ohmori, T., Fujino, M. and Miyata, H., 1998. A study on flow field around full ship forms in maneuvering motion, J. Mar. Sci. Technol., 3(1): 22–29.

    Article  Google Scholar 

  • Ohmori, T., 1998. Finite-volume simulation of flows about a ship in maneuvering motion, J. Mar. Sci. Technol., 3(2): 82–93.

    Article  MathSciNet  Google Scholar 

  • Phillips, A. B., Turnock, S. R. and Furlong, M., 2010. Influence of turbulence closure models on the vortical flow field around a submarine body undergoing steady drift, J. Mar. Sci. Technol., 15(3): 201–217.

    Article  Google Scholar 

  • Racine, B. J. and Paterson, E. G., 2005. CFD-based method for simulation of marine-vehicle maneuvering, Proceedings of the 35th AIAA Fluid Dynamics Conference and Exhibit, Toronto, Canada.

    Google Scholar 

  • Roddy, R. F., 1990. Investigation of the Stability and Control Characteristics of Several Configurations of the DARPA SUBOFF Model (DTRC model 5470) from Captive-Model Experiments, Report of David Taylor Research Center.

    Google Scholar 

  • Sakthivel, R., Vengadesan, S. and Bhattacharyya, S. K., 2011. Application of non-linear κ - ε turbulence model in flow simulation over underwater axisymmetric hull at higher angle of attack, Journal of Naval Architecture and Marine Engineering, 8(2): 149–163.

    Article  Google Scholar 

  • Simonsen, C. D. and Stern, F., 2003. Verification and validation of RANS maneuvering simulation of Esso Osaka: Effects of drift and rudder angle on forces and moments, Comput. Fluids, 32(10): 1325–1356.

    Article  MATH  Google Scholar 

  • Toxopeus, S. L., 2006. Calculation of hydrodynamic maneuvering coefficients using viscous-flow calculations, Proceedings of the 7th ICHD International Conference on Hydrodynamics, Ischia, Italia.

    Google Scholar 

  • Toxopeus, S. L., Atsavapranee, P., Eric, W., Stefan, D., Richard, P., Ronny, W., Zhang, J. T. and Andrew, G., 2012. Collaborative CFD exercise for a submarine in a steady turn, Proceedings of the ASME 31st International Conference on Ocean, Offshore and Arctic Engineering, Rio de Janeiro, Brazil.

    Google Scholar 

  • Vaz, G., Toxopeus, S. L. and Holmes, S., 2010. Calculation of manoeuvring forces on submarines using two viscous-flow solvers, Proceedings of the 29th International Conference on Ocean, Offshore and Arctic Engineering (ASME 2010), Shanghai, China.

    Google Scholar 

  • Wang, H. M., 2009. Numerical Study on the Viscous Flow and Hydrodynamic Forces on A Manoeuvring Ship in Restricted Waters, Ph. D. Thesis, Shanghai Jiao Tong University, Shanghai, China. (in Chinese)

    Google Scholar 

  • Zhang, Z. R., 2010. Verification and validation for RANS simulation of KCS container ship without/with propeller, Journal of Hydrodynamics, Ser. B, 22(5): 932–939.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Liu-shuai Cao  (曹留帅).

Additional information

This work was financially supported by the National Natural Science Foundation of China (Grant No. 51179199).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cao, Ls., Zhu, J. & Wan, Wb. Numerical investigation of submarine hydrodynamics and flow field in steady turn. China Ocean Eng 30, 57–68 (2016). https://doi.org/10.1007/s13344-015-0076-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13344-015-0076-1

Key words

Navigation