Application of Local Radial Basis Function-based Differential Quadrature Method in Micro Flows

	Nanotech 2004 Vol. 1 Technical Proceedings of the 2004 NSTI Nanotechnology Conference and Trade Show, Volume 1 Chapter 7: Micro Fluidics and Nanoscale Transport
	Application of Local Radial Basis Function-based Differential Quadrature Method in Micro Flows
Authors:	D. Xu, H. Ding and C. Shu
Affilation:	Agency for Science Technology and Research, SG
Pages:	243 - 246
Keywords:	micro fluidics, computational fluid dynamics, BBF-DQ, meshless method
Abstract:	Numerical simulation of flows in micro geometry is one of the most appealing fields in computational fluid dynamics due to the advent of MEMS. In the present study, a local Radial Basis Function-based Differential Quadrature (RBF-DQ) method is applied to study the flow in micro cavity in the slip flow regime. RBF-DQ method is a natural mesh-free approach. The weighting coefficients of RBF-DQ method are determined by taking Radial Basis Functions (RBF) as test functions instead of using high order polynomials. RBF-DQ method has a unique feature of discretizing derivatives at a knot by a weighted linear sum of functional values at its neighboring knots, which may be distributed randomly. In the paper, two-dimensional incompressible flows in a micro lid-driven cavity are simulated with Knudsen number . Maxwells first-order formula is adopted to treat slip boundary condition on solid walls.
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ISBN:	0-9728422-7-6
Pages:	521
Hardcopy:	$79.95

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