An emerging technology in the area of microsystems is micro-total analysis
systems (mu TAS) for biological sample analysis. We have simulated electro-
osmosis-a common transport mechanism within these devices-by developing mes
hless techniques. Numerical simulation of electro-osmotic transport require
s the solution of the Laplace equation, the Poisson-Boltzmann equation and
the incompressible Stokes or Navier-Stokes equations. We describe the devel
opment and implementation of meshless techniques for all the governing equa
tions. In particular, we introduce a stabilized Stokes solver for very-low
Reynolds number flows and a multistep Navier-Stokes solver for a wide range
of Reynolds number flows. We have analyzed electro-osmotic transport in th
ree geometries typically encountered in biological devices: a straight chan
nel, a cross-shaped intersection, and a T-shaped intersection.