Journal of the Society of Naval Architects of Korea (대한조선학회논문집)

The Society of Naval Architects of Korea (대한조선학회)
권호 표지
DOI QR코드

DOI QR Code

Analysis of Viscous Flow Around an Impulsively Started Marine Propeller Using VIC(Vortex In Cell) Method

VIC(Vortex In Cell) 방법을 이용한 순간 출발하는 프로펠러 주위의 점성유동 해석

  • Lee, Jun-Hyeok (Department of Industrial Engineering and Naval Architecture, Seoul National University) ;
  • Kim, Yoo-Chul (Maritime & Ocean Engineering Research Institute, KORDI) ;
  • Lee, Youn-Mo (Hyundai Heavy Industry Co., Ltd., HMRI) ;
  • Suh, Jung-Chun (Department of Naval Architecture & Ocean Engineering / Research Institute of Marine System Engineering, Seoul National University)
  • 이준혁 (서울대학교 산업.조선공학부) ;
  • 김유철 (한국해양연구원 해양시스템안전연구소) ;
  • 이윤모 (현대중공업 선박해양연구소) ;
  • 서정천 (서울대학교 조선해양공학과/해양시스템공학연구소)
  • Received : 2011.02.18
  • Accepted : 2011.12.12
  • Published : 2012.02.20
Download PDF
⟨ Previous Next ⟩

Abstract

The 3-D unsteady viscous flow around an impulsively started rotating marine propeller is simulated using VIC(Vortex-In-Cell) method which is adequate to analyze the strong vortical flow around complicatedly-shaped body. The computational procedure is governed by the vorticity transport equation in Lagrangian form. In order to solve the equation, a regular grid which is independent to the shape of a body is introduced and each term of the equation is evaluated numerically on the grid by applying immersed boundary concept. In this paper, the overall algorithm including the formulation of governing equations and boundary conditions is described and some computational results are presented with discussing their physical validity.

Keywords

References

  1. Chorin, A.J., 1973. Numerical study of slightly viscous flow. Journal of Fluid Mechanics, 57(4), 785-796. https://doi.org/10.1017/S0022112073002016
  2. Cottet, G.H. & Koumoutsakos, P., 2000. Vortex Methods: Theory and Practice. Cambridge University Press: Cambridge.
  3. Cottet, G.H. & Poncet, P., 2004. Advances in Direct Numerical Simulations of 3D Wall-Bounded Flows by Vortex-in-Cell Methods. Journal of Computational Physics, 193(1), 136-158. https://doi.org/10.1016/j.jcp.2003.08.025
  4. Cottet, G.H. Jiroveanu, D. & Michaux, B., 2003. Vorticity Dynamics and Turbulence Models for Large-Eddy Simulations. Mathematical Modelling and Numerical Analysis, 37(1), 187-207. https://doi.org/10.1051/m2an:2003013
  5. Cocle, R. Winckelmans, G. & Daeninck, G., 2007. Combining the vortex-in-cell and parallel fast multipole methods for efficient domain decomposition simulations. Journal of Computational Physics, 227(21), 9091-9120. https://doi.org/10.1016/j.jcp.2007.10.010
  6. Degond, P. & Mas-Gallic, S., 1989. The Weighted Particle Method for Convection Diffusion Equation, Part I: The Case of an Isotropic Viscosity, Part II: The Anisotropic Case. Mathematics of Computation, 53(188), 485-507.
  7. Greengard, L. & Rokhlin, V., 1987. A Fast Algorithm for Particle Simulations. Journal of Computational Physics, 73(2), 325-348. https://doi.org/10.1016/0021-9991(87)90140-9
  8. Gresho, P.M., 1991. Incompressible Fluid Dynamics: Some Fundamental Formulation Issues. Annual Review of Fluid Mechanics, 23, 413-453. https://doi.org/10.1146/annurev.fl.23.010191.002213
  9. Koumoutsakos, P.D. & Leonard, A., 1995. High resolution simulations of the flow around an impulsively started cylinder using vortex methods. Journal of Fluid Mechanics, 296, 1-38. https://doi.org/10.1017/S0022112095002059
  10. Koumoutsakos, P.D. Leonard, A. & Pepin, F.M., 1994. Boundary Conditions for Viscous Vortex Methods. Journal of Computational Physics, 113(1), 52-61. https://doi.org/10.1006/jcph.1994.1117
  11. Kim, K.S., 2003. A Vorticity-Velocity-Pressure Formulation for Numerical Solutions of the Incompressible Navier-Stokes Equations. Ph.D. Seoul National University.
  12. Lee, J.T., 1987. A Potential Based Panel Method for Analysis of Marine Propellers in Steady Flow. Ph.D. Massachusetts Institute of Technology.
  13. Lee, K.J., 2009. An Immersed Boundary Vortex-in-Cell Method Combined with a Panel Method for Incompressible Viscous Flow Analysis. Ph.D. Seoul National University.
  14. Ploumhans, P. & Winckelmans, G.S., 2000. Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry. Journal of Computational Physics, 165(2), 354-406. https://doi.org/10.1006/jcph.2000.6614
  15. Ploumhans, P. et al., 2002. Vortex Methods for Direct Numerical Simulation of Three Dimensional Bluff Body Flows: Application to the Sphere at Re=300, 500 and 1000. Journal of Computational Physics, 178(2), 427-463. https://doi.org/10.1006/jcph.2002.7035
  16. Suh, J.C. & Kim, K.S., 1999. A Vorticity-Velocity Formulation for Solving the Two-Dimensional Navier-Stokes Equations. Fluid Dynamics Research, 25(4), 195-216. https://doi.org/10.1016/S0169-5983(99)00020-9
  17. Wu, J.Z. & Wu, J.M., 1993. Interactions Between a Solid Surface and Viscous Compressible Flow Field. Journal of Fluid Mechanics, 254, 183-211. https://doi.org/10.1017/S0022112093002083
  18. Wu, J.Z. Wu, X.H. Ma, H.Y. & Wu, J.M., 1994. Dynamic Vorticity Condition: Theoretical Analysis and Numerical Implementation. International Journal for Numerical Methods In Fluids, 19(10), 905-938. https://doi.org/10.1002/fld.1650191004