DOI QR코드

DOI QR Code

Study on the Development of the Maneuvering Mathematical Model Considering the Large Angle Motion of Submarine

  • Jae Hyuk Choi (Dept. of Naval Architecture and Ocean Systems Engineering, Korea Maritime and Ocean University) ;
  • Sungwook Lee (Dept. of Naval Architecture and Ocean Systems Engineering, Korea Maritime and Ocean University) ;
  • Jinhyeong Ahn (Maritime Technology Research Institute - 1st Directorate, Agency for Defense Development)
  • Received : 2023.04.14
  • Accepted : 2023.06.14
  • Published : 2023.06.30

Abstract

Maneuverability is a crucial factor for the safety and success of submarine missions. This paper introduces a mathematical model that considers the large drift and angle of attack motions of submarines. Various computational fluid dynamics (CFD) simulations were performed to adapt Karasuno's fishery vessel maneuvering mathematical model to submarines. The study also presents the procedure for obtaining the physics-based hydrodynamic coefficients proposed by Karasuno through CFD calculations. Based on these coefficients, the reconstructed forces and moments were compared with those obtained from CFD and to the hydrodynamic derivatives expressed by a Taylor expansion. The study also discusses the mathematical maneuvering model that accounts for the large drift angles and angles of attack of submarines. The comparison results showed that the proposed maneuvering mathematical model based on modified Karasno's model could cover a large range of motions, including horizontal motion and vertical motions. In particular, the results show that the physics-based mathematical maneuvering model can represent the forces and moments acting on the submarine hull during large drift and angle of attack motions. The proposed mathematical model based on the Karasuno model could obtain more accurate results than the Taylor third-order approximation-based mathematical model in estimating the hydrodynamic forces acting on submarines during large drift and angle of attack motions.

Keywords

Acknowledgement

This study was supported by the Agency Defense Development by the Korean Government in 2021-2022 (UD210002DD).

References

  1. Bohlmann, H. (1990). Berechnung hydrodynamischer Koeffizienten von Ubooten zur Vorhersage des Bewegungsverhaltens. Technische Universitat Hamburg-Harburg.
  2. Choi, J. H. (2023). A study on the development of the mathematical model considering the large angle motion of submarine [Master's thesis, Korea Maritime and Ocean University]. https://kmou.dcollection.net/public_resource/pdf/200000669584_20230615005033.pdf
  3. Feldman, J.(1979). Revised standard submarine equations of motion (DTNSRDC/SPD-0393-09). David W. Taylor /naval Ship Research and Development Center.
  4. Gertler, M., & Hagen, G. (1967). Standard equations of motion for submarine simulation (NSRDC Report 2510).
  5. Hooft, J. (1994). The cross-flow drag on a manoeuvring ship. Ocean Engineering, 21(3), 329-342. https://doi.org/10.1016/0029-8018(94)90004-3
  6. Karasuno, K., Matsuno, T. I., & Igarashi, K. (1991). The mathematical model of hydrodynamic forces acting on ship moving in an oblique direction with fluid-dynamic concepts (2nd report). Journal of the Kansai Society of naval architectures, Japan, 216, 175-183.
  7. Karasuno, K., Matsuno, T. I., & Igarashi, K. (1992). A new mathematical model of hydrodynamic forces and moment acting on a hull during maneuvering motion that occurs under conditions of slow speed and large turns (2nd report). Journal of the Kansai Society of naval architects, Japan, 217, 125-135.
  8. Kim, Y., Kim, D., Yun, K., Lee, Y., Jeong, S., & Lee, G. (2021). Prediction of maneuverability of submarine by captive model test. Proceedings of the Annual Autumn Conference of the Society of Naval Architects of Korea.
  9. Park, J., Kim, N., & Shin, Y. (2017). Experimental study on hydrodynamic coefficients for high-incidence-angle maneuver of a submarine, International Journal of Naval Architecture and Ocean Engineering, 9,100-113. https://doi.org/10.1016/j.ijnaoe.2016.08.003
  10. Shin, Y., & Lee, S. (2005). A study on the modeling of hydrohynamic coefficient for the emergency maneuver simulation of underwater vehicle. Journal of Society of Naval Architect of Korea, 42(6), 601-607. https://doi.org/10.3744/SNAK.2005.42.6.601
  11. Sohn, K., Lee, S., & Ha, S., (2006). Mathematical model for dynamics of manta-type unmanned undersea vehicle with six degree of freedom and characteristics of manoeuvrability response. Journal of Society of Naval Architect of Korea, 43(4), 399-413. https://doi.org/10.3744/SNAK.2006.43.4.399
  12. Watt, G. D. (2007). Modelling and simulating unsteady six degreesof-freedom submarine rising maneuvers (Technical Report DRDC Atlantic TR 2007-008). Defence R & D Canada - Atlantic.