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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2006.11
- 수록면
- 45 - 48 (4page)
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초록· 키워드
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Since the meshfree method of smoothed particle hydrodynamics(SPH, 1977), there come out several 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 reproducing kernel particle method(RKPM, 1995) by Liu, the h-p cloud method(1996) by Duarte and Oden, the partition of unity finite element method(PUFEM, 1996) by Babu?ka, and the moving least square reproducing kernel method(MLSRK, 1996) by Liu. There methods developed explosively were naturally applied to flow problems as well for their potentials including performance test. They usually use the Galerkin formulation as the finite element method does, so that they are not free from the burden of numerical integrations. The worse takes place when enforcing the Dirichlet boundary condition due to the lack of Kronecker delta property of shape functions which does not make troubles in FEM at all. Thus, it happens to make the discrete system unstable. In flow simulations, the flux conservation is strongly dependent of how to impose the Dirichlet boundary condition.
To circumvent these obstacles, collocation-based mesh free methods hop into the world. Among them, Aluru developed a point collocation method in 2000, Zhang et al. did a least square collocation meshfree method in 2001, and Kim et al. in 2003 proposed the fast moving least square reproducing kernel(FMLSRK) approximation and, based on it, developed collocation schemes to readily solve flow problems.
Using our collocation method, what we are done with so far and what we are doing now, in computational fluid dynamics are presented through this talk.
To circumvent these obstacles, collocation-based mesh free methods hop into the world. Among them, Aluru developed a point collocation method in 2000, Zhang et al. did a least square collocation meshfree method in 2001, and Kim et al. in 2003 proposed the fast moving least square reproducing kernel(FMLSRK) approximation and, based on it, developed collocation schemes to readily solve flow problems.
Using our collocation method, what we are done with so far and what we are doing now, in computational fluid dynamics are presented through this talk.
목차
ABSTRACT
WHAT WE ARE DONE WITH
WHAT WE ARE DOING NOW
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2009-410-014679126