Xu D., Ding H., Shu C.
Agency for Science Technology and Research, SG
Keywords: BBF-DQ, computational fluid dynamics, meshless method, micro fluidics
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.
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