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NUMERICAL STUDY ON TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOW BASED ON GRIDLESS METHOD  

Jeong, S.M. (동경대학교대학원 신영역창성과학연구과)
Park, J.C. (부산대학교 조선해양공학과)
Heo, J.K. (한진중공업 선박해양연구팀)
Publication Information
Journal of computational fluids engineering / v.14, no.4, 2009 , pp. 93-100 More about this Journal
Abstract
The gridless (or meshfree) methods, such as MPS, SPH, FPM an so forth, are feasible and robust for the problems with moving boundary and/or complicated boundary shapes, because these methods do not need to generate a grid system. In this study, a gridless solver, which is based on the combination of moving least square interpolations on a cloud of points with point collocation for evaluating the derivatives of governing equations, is presented for two-dimensional unsteady incompressible Navier-Stokes problem in the low Reynolds number. A MAC-type algorithm was adopted and the Poission equation for the pressure was solved successively in the moving least square sense. Some typical problems were solved by the presented solver for the validation and the results obtained were compared with analytic solutions and the numerical results by conventional CFD methods, such as a FVM.
Keywords
Gridless Method; Moving Least-Squares Method; Incompressible Viscous Flow; Weighting Function; Navier-Stokoes Equations;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 1982, Ghia, U., Ghia, K.N. and Shin, C.T., "High Resolutions for Incompressible Flow using the Navier-Stokes Equations and a Multigrid Method," J. Comput. Phys., Vol.48, pp.387-411   DOI   ScienceOn
2 1974, White, F.M., Viscous Fluid Flow, McGraw-Hill, pp. 148-149
3 1996, Koshizuka, S. and Oka, Y., "Moving-Particle Semiimplicit Method for Fragmentation of Incompressible Fluid," Nucl. Sci. Eng., Vol.123, pp.421-434
4 2006, Sakamoto, M. and Suzuki, K., "Simulation of Incompressible Separated Flow around a Body Using Gridless Method," Proc. 20th CFD symposium (of Japan), Tokyo, 2008, C2-1, CD-ROM (in Japanese)
5 http://www.cc.u-tokyo.ac.jp/service/ha8000/
6 1993, Batina, T., "A Gridless Euler/Navier-Stokes Solution Algorithm for Complex Aircraft Applications," AIAA Paper 93-0333
7 2005, 박종천, 문진국, 전호환, 서성부, "주기회전하는 원형 실린더 주위 층류 유동장의 수치시뮬레이션," 대한조선학회논문집, 제42권, 제4호, pp.368-378   과학기술학회마을   DOI   ScienceOn
8 2001, Yoon, H.Y., Koshizuka, S. and Oka, Y., "Direct Calculation of Bubble Growth, Departure, and Rise in Nucleate Pool Boiling," Int. J. Multiphase Flow, Vol.27, pp.277-298   DOI   ScienceOn
9 http://www.opencfd.co.uk/openfoam/
10 1996, Onate, E. and Idelsohn, S., Zienkiewicz, O.Z., Tayler, R.L. and Sacco, C., "A Stabilized Finite Point Method for Analysis of Fluid Mechanics Problems," Comput. Methods Appl. Engrg., Vol.139, pp.315-346   DOI   ScienceOn
11 1997, Ogawara, K. and Iida, S., "Upwinding of Least Square Convection Estimate for Unstructured Grids," Journal of the Japan Society of Mechanical Engineers, Vol.5, pp.1592-1596
12 1988, Monaghan, J.J., "An Introduction to SPH," Comput. Phys. Comn., Vol.48, pp.89-96   DOI   ScienceOn
13 2004, Bendez, B. and Velazquez, A., "Finite point solver for the simulation of 2-D laminar incompressible unsteady flows," Comput. Methods Appl. Mech. Engrg, Vol.193, pp.825-848   DOI   ScienceOn