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http://dx.doi.org/10.3744/SNAK.2012.49.1.26

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

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)
Publication Information
Journal of the Society of Naval Architects of Korea / v.49, no.1, 2012 , pp. 26-32 More about this Journal
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
Marine propeller; Viscous flow; Vortex particle method; Vortex-in-cell method; Immersed boundary method; Panel method;
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1 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.   DOI   ScienceOn
2 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.   DOI   ScienceOn
3 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.   DOI   ScienceOn
4 Wu, J.Z. & Wu, J.M., 1993. Interactions Between a Solid Surface and Viscous Compressible Flow Field. Journal of Fluid Mechanics, 254, 183-211.   DOI   ScienceOn
5 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.   DOI   ScienceOn
6 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.   DOI   ScienceOn
7 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.   DOI   ScienceOn
8 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.   DOI   ScienceOn
9 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.
10 Greengard, L. & Rokhlin, V., 1987. A Fast Algorithm for Particle Simulations. Journal of Computational Physics, 73(2), 325-348.   DOI   ScienceOn
11 Gresho, P.M., 1991. Incompressible Fluid Dynamics: Some Fundamental Formulation Issues. Annual Review of Fluid Mechanics, 23, 413-453.   DOI   ScienceOn
12 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.   DOI   ScienceOn
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 Koumoutsakos, P.D. Leonard, A. & Pepin, F.M., 1994. Boundary Conditions for Viscous Vortex Methods. Journal of Computational Physics, 113(1), 52-61.   DOI   ScienceOn
15 Kim, K.S., 2003. A Vorticity-Velocity-Pressure Formulation for Numerical Solutions of the Incompressible Navier-Stokes Equations. Ph.D. Seoul National University.
16 Lee, J.T., 1987. A Potential Based Panel Method for Analysis of Marine Propellers in Steady Flow. Ph.D. Massachusetts Institute of Technology.
17 Cottet, G.H. & Koumoutsakos, P., 2000. Vortex Methods: Theory and Practice. Cambridge University Press: Cambridge.
18 Chorin, A.J., 1973. Numerical study of slightly viscous flow. Journal of Fluid Mechanics, 57(4), 785-796.   DOI