DOI QR코드

DOI QR Code

Analysis of Large-Amplitude Ship Motions Using a Cartesian-Gridbased Computational Method

직교격자 기반 수치기법을 이용한 선박의 대변위 운동해석

  • Yang, Kyung-Kyu (Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Nam, Bo-Woo (Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Lee, Jae-Hoon (Department of Naval Architecture and Ocean Engineering, Seoul National University) ;
  • Kim, Yonghwan (Department of Naval Architecture and Ocean Engineering, Seoul National University)
  • 양경규 (서울대학교 조선해양공학과) ;
  • 남보우 (서울대학교 조선해양공학과) ;
  • 이재훈 (서울대학교 조선해양공학과) ;
  • 김용환 (서울대학교 조선해양공학과)
  • Received : 2012.07.27
  • Accepted : 2012.11.12
  • Published : 2012.12.20

Abstract

In this study, a Cartesian-grid method based on finite volume approach is applied to simulate the ship motions in large amplitude waves. Fractional step method is applied for pressure-velocity coupling and TVD limiter is used to interpolate the cell face value for the discretization of convective term. Water, air, and solid phases are identified by using the concept of volume-fraction function for each phase. In order to capture the interface between air and water, the tangent of hyperbola for interface capturing (THINC) scheme is used with weighed line interface calculation (WLIC) method which considers multidimensional information. The volume fraction of solid body embedded in the Cartesian grid system is calculated using a level-set based algorithm, and the body boundary condition is imposed by a volume weighted formula. Numerical simulations for the two-dimensional barge type model and Wigley hull in linear waves have been carried out to validate the newly developed code. To demonstrate the applicability for highly nonlinear wave-body interactions such as green water on the deck, numerical analysis on the large-amplitude motion of S175 containership is conducted and all computational results are compared with experimental data.

Keywords

References

  1. Dommermuth, D.G. et al., 2007. An Application of Cartesian-Grid and Volume-of-Fluid Methods to Numerical Ship Hydrodynamics. 9th International Conference on Numerical Ship Hydrodynamics, Ann Arbor, Michigan, 5-8 August 2007.
  2. Eberly, D., 2008. Distance between point and triangle in 3D. [Online] (Updated 14 August 2012) Available at: http://www.geometrictools.com [Accessed 2 December 2010].
  3. Han, M.R. & Ahn, H.T., 2011. Vortex-Induced Vibration of Simple Slender Structure Using Cartesian Mesh. Journal of the Society of Naval Architects of Korea, 48(3), pp.260-266. https://doi.org/10.3744/SNAK.2011.48.3.260
  4. Hu, C. & Kashiwagi, M., 2004. A CIP-Based Method for Numerical Simulations of Violent Free-Surface Flows. Journal of Marine Science and Technology, 9(4), pp.143-157. https://doi.org/10.1007/s00773-004-0180-z
  5. Hu, C. & Kashiwagi, M., 2007. Numerical and Experimental Studies on Three-Dimensional Water on Deck with a Modified Wigley Model. 9th International Conference on Numerical Ship Hydrodynamics, Ann Arbor, Michigan, 5-8 August 2007.
  6. Jeong, K.L. Lee, Y.G. & Kim, N.C., 2010. A Fundamental Study for the Numerical Simulation Method of Green Water Occurrence on Bow Deck. Journal of the Society of Naval Architects of Korea, 47(2), pp.188-195. https://doi.org/10.3744/SNAK.2010.47.2.188
  7. Journee, J.M.J., 1992. Experiments and Calculations on 4 Wigley Hull Forms in Head Waves, Delft University of Technology Report No 0909.
  8. Kim, J. & Moin, P., 1985. Application of a fractional step method to incompressible Navier-Stokes equations. Journal of Computational Physics, 59, pp.308-323. https://doi.org/10.1016/0021-9991(85)90148-2
  9. Kim, K.H. & Kim, Y., 2011. Numerical study on added resistance of ships by using a time-domain Rankine panel method. Ocean Engineering, 38(13), pp.1357-1367. https://doi.org/10.1016/j.oceaneng.2011.04.008
  10. O'Dea, J. Powers, E. & Zselecsky, J., 1992. Experimental determination of non-linearities in vertical plane ship motions. Proceedings of the 19th Symposium on Naval Hydrodynamics, Seoul, Korea, 24-28 August 1992.
  11. Shin, S. & Kim, H.T., 2006. Numerical Simulation of a Viscous Flow Field Around a Deforming Foil Using the Hybrid Cartesian/Immersed Boundary Method. Journal of the Society of Naval Architects of Korea, 43(5), pp.538-549. https://doi.org/10.3744/SNAK.2006.43.5.538
  12. Waterson, N.P. & Deconinck, H., 2007. Design principles for bounded higher-order convection schemes - a unified approach. Journal of Computational Physics, 224(1), pp.182-207. https://doi.org/10.1016/j.jcp.2007.01.021
  13. Xiao, F. Honma, Y. & Kono, T., 2005. A Simple Algebraic Interface Capturing Scheme Using Hyperbolic Tangent Function. International Journal for Numerical Methods in Fluids, 48(9), pp.1023-1040. https://doi.org/10.1002/fld.975
  14. Yang, J. & Stern, F., 2009. Sharp Interface Immersed-Boundary / Level-Set Method for Wave-Body Interactions. Journal of Computational Physics, 228(17), pp.6590-6616. https://doi.org/10.1016/j.jcp.2009.05.047
  15. Yokoi, K., 2007. Efficient Implementation of THINC Scheme: A Simple and Practical Smoothed VOF Algorithm. Journal of Computational Physics, 226(2), pp.1985-2002. https://doi.org/10.1016/j.jcp.2007.06.020

Cited by

  1. Analysis of Added Resistance using a Cartesian-Grid-based Computational Method vol.50, pp.2, 2013, https://doi.org/10.3744/SNAK.2013.50.2.79
  2. Numerical Prediction of Ship Motions in Wave using RANS Method vol.50, pp.4, 2013, https://doi.org/10.3744/SNAK.2013.50.4.232
  3. Numerical Simulation of the Flow around Advancing Ships in Regular Waves using a Fixed Rectilinear Grid System vol.51, pp.5, 2014, https://doi.org/10.3744/SNAK.2014.51.5.419
  4. Systematic Experimental and Numerical Analyses on Added Resistance in Waves vol.51, pp.6, 2014, https://doi.org/10.3744/SNAK.2014.51.6.459
  5. Analysis of Added Resistance in Short Waves vol.52, pp.4, 2015, https://doi.org/10.3744/SNAK.2015.52.4.338