Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/73196
Title: Application of local radial basis function-based differential quadrature method in micro flows
Authors: Xu, D.
Ding, H.
Shu, C. 
Keywords: CFD
Meshless method
Micro flow
RBF-DQ method
Issue Date: 2004
Source: Xu, D.,Ding, H.,Shu, C. (2004). Application of local radial basis function-based differential quadrature method in micro flows. 2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004 1 : 243-246. ScholarBank@NUS Repository.
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 Kn < 0.1. Maxwell's first-order formula is adopted to treat slip boundary condition on solid walls.
Source Title: 2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004
URI: http://scholarbank.nus.edu.sg/handle/10635/73196
ISBN: 0972842276
Appears in Collections:Staff Publications

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