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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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