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|Title:||Application of local radial basis function-based differential quadrature method in micro flows|
|Citation:||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|
|Appears in Collections:||Staff Publications|
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