Browse > Article
http://dx.doi.org/10.6112/kscfe.2012.17.1.044

IMPLEMENTATION OF IMMERSED BOUNDARY METHOD TO INCOMPRESSIBLE NAVIER-STOKES SOLVER USING SIMPLE ALGORITHM  

Kim, G.H. (Dept. of Aerospace Engineering, KAIST)
Park, S.O. (Dept. of Aerospace Engineering, KAIST)
Publication Information
Journal of computational fluids engineering / v.17, no.1, 2012 , pp. 44-53 More about this Journal
Abstract
Immersed boundary method(IBM) is a numerical scheme proposed to simulate flow field around complex objectives using simple Cartesian grid system. In the previous studies, the IBM has mostly been implemented to fractional step method based Navier-Stokes solvers. In this study, we implement the IBM to an incompressible Navier-Stokes solver which uses SIMPLE algorithm. The weight coefficients of the bi-linear and quadratic interpolation equations were formulated by using only geometric information of boundary to reconstruct velocities near IB. Flow around 2D circular cylinder at Re=40 and 100 was solved by using these formulations. It was found that the pressure buildup was not observed even when the bi-linear interpolation was adopted. The use of quadratic interpolation made the predicted aerodynamic forces in good agreement with those of previous studies. For an analysis of moving boundary, we smulated an oscillating circular cylinder with Re=100 and KC(Keulegan-Carpenter) number of 5. The predicted flow fields were compared with experimental data and they also showed good agreements.
Keywords
Immersed Boundary Method; SIMPLE Algorithm;
Citations & Related Records
연도 인용수 순위
  • Reference
1 2003, Tseng, Y.H. and Ferziger, J.H., "A Ghost-cell Immersed Boundary Method for Flow in Complex Geometry," Journal of Computational Physics, Vol.192, No.2, pp.593-623.   DOI
2 1998, Duetsch, H., Durst, F., Becker, S., and Lienhart, H., "Low- Reynolds-number Flow around an Oscillating Circular Cylinder at Low Keulegan-Carpenter Numbers," Journal of Fluid Mechanics, Vol.360, pp.249-271.   DOI
3 1997, Mohd-Yosuf, J., "Combined Immersed Boundary/ B-spline Methods for Simulation of Flow in COmplex Geometries," Annu.Res.Briefs, Cent.Turbul. Res., pp.317-28.
4 1998, Verzicco, R., Mohd-Yosuf, J., Orlandi, P., and Haworth, D., "LES in Complex Geometries using Boundary Body Forces," Center for Turbulence Research, Proceedings of the Summer Program, pp.171-186.
5 1999, Udaykumar, H.S., Mittal, R., and Wei Shyy, "Computation of Solid-Liquid Phase Fronts in the Sharp Interface Limit on Fixed Grids," Journal of Computational Physics, Vol.153, Issue2, pp.535-574.   DOI
6 2009, Kang, S.W., G.Iaccarino, and Moin, P., "Accurate Immersed-Boundary Reconstructions for Viscous Flow Simulations," AIAA J., Vol.47, No.7.
7 2003, Kalitzin, G. and Iaccarino, G., "Toward Immersed Boundary Simulation of High Reynolds Number Flows," Center for Turbulence Research, Annual Research Briefs, pp.369-378.
8 1974, Khosla, P.K. and Rubin, S.G., "A Diagonally dominant Second-order Accurate Implicit Scheme," Computers & Fluids, Vol.2, No.2, pp207-209.   DOI
9 1968, Stone, H.L., "Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations," SIAM Journal of Nuerical Analysis, Vol.5, No.3, pp.530-558.   DOI
10 2002, Ferziger, J.H. and Peric, M., Computational Methods for Fluid Dynamics 3rd edition, Springer.
11 1998, Baek, S.J. and Sung, H.J., "Numerical Simulation of the Flow Behind a Rotary Oscillating Circular Cylinder," Physics of Fluids, Vol.10, No.4, pp.869-876.   DOI
12 1998, Park, J.Y., Kwon, K.Y. and Choi, H.C., "Numerical Solutions of Flow Past a Circular Cylinder at Reynolds Numbers up to 160," Journal of Mechanical Science and Technology, Vol.12, No.6.
13 2007, Huang, W.X. and Sung, H.J., "Improvement of Mass Source/Sink for an Immersed Boundary Method," Int. J. Numer. Meth FLuids, Vol.53, No.11, pp.1659-1671.   DOI
14 2002, Peskin, C.S., "The Immersed Boundary Method," Acta Numerica, pp. 1-39.
15 1972, Peskin, C.S., "Flow Patterns Around Heart Valves:a Digital Computer Method for Solving the Equations of Motion," Ph.D. Thesis, Albert Einstein College of Medicine, Yeshiva University.