Title   name
KSIAM 2006 Annual Meeting
  Speaker   Kim, Do Wan  
  Date 2006-11-24
  Place 건국대학교
  File  의 1 번째 Real Media 동영상입니다. 의 1 번째 강연자료입니다.
Abstract : Since the meshfree method of smoothed particle hydrodynamics(SPH, 1977), there come outseveral kinds of remarkable meshfree methods: for example, the diffuse element method(DEM,1992) by Nayrole, the element free Galerkin method(EFG, 1994) by Belytschko, the reproducingkernel particle method(RKPM, 1995) by Liu, the h-p cloud method(1996) by Duarte andOden, the partition of unity finite element method(PUFEM, 1996) by Babuˇska, and the movingleast square reproducing kernel method(MLSRK, 1996) by Liu. There methods developedexplosively were naturally applied to flow problems as well for their potentials including performancetest. They usually use the Galerkin formulation as the finite element method does, sothat they are not free from the burden of numerical integrations. The worse takes place whenenforcing the Dirichlet boundary condition due to the lack of Kronecker delta property of shapefunctions which does not make troubles in FEMat all. Thus, it happens to make the discrete systemunstable. In flow simulations, the flux conservation is strongly dependent of how to imposethe Dirichlet boundary condition.To circumvent these obstacles, collocation-based meshfree methods hop into the world. Amongthem, Aluru developed a point collocation method in 2000, Zhang et al. did a least squarecollocation meshfree method in 2001, and Kim et al. in 2003 proposed the fast moving leastsquare reproducing kernel(FMLSRK) approximation and ,based on it, developed collocationschemes to readily solve flow problems.Using our collocation method, what we are done with so far and what we are doing now, incomputational fluid dynamics are presented through this talk.