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

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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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Journal: TechConnect Briefs
Volume: 1, Technical Proceedings of the 2004 NSTI Nanotechnology Conference and Trade Show, Volume 1
Published: March 7, 2004
Pages: 243 - 246
Industry sectors: Advanced Materials & Manufacturing | Sensors, MEMS, Electronics
Topic: Micro & Bio Fluidics, Lab-on-Chip
ISBN: 0-9728422-7-6