Application of Local Radial Basis Function-based Differential Quadrature Method in Micro Flows
D. Xu, H. Ding and C. Shu
Agency for Science Technology and Research, SG
Keywords: micro fluidics, computational fluid dynamics, BBF-DQ, meshless method
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.
Nanotech 2004 Conference Technical Program Abstract