The problem of the transport of a quantity (heat, matter or momentum) by advection-diiusion is considered for arbitrarily large Peclet number in a two-dimensional domain. In some neighbourhoods of the boundary of the domain, boundary layers may appear for large Peclet number. It is well known that classical nite diierence methods do not yield approximate solutions with a guaranteed accuracy if ...

Environments can range from low peclet numbers in which diffusion is predominant to high peclet numbers in which turbulence and advection occur. Control algorithms deployed on robotic platforms to monitor spatiotemporal distributions are often very specific to a particular peclet number environment and suffer reduction in efficiency when used in another peclet number environment. This paper inv...

The slow motion of a body through a stratified fluid bounded laterally by insulating walls is studied for both large and small Peclet number. The Taylor column and its associated boundary and shear layers are very different from the analogous problem in a rotating fluid. In particular, the large Peclet number problem is non-linear and exhibits mixing of statically unstable fluid layers, and hen...

[1] We apply the lattice-Boltzmann method to simulate fluid flow and dissolution and precipitation in the reactive solid phase in a porous medium. Both convection and diffusion as well as temporal geometrical changes in the pore space are taken into account. The numerical results show that at high Peclet and Peclet-Damkohler numbers, a wormhole is formed and permeability increases greatly becau...

We analyze the transport properties of a neutral tracer in a carrier fluid flowing through percolationlike porous media with spatial correlations. We model convection in the mass transport process using the velocity field obtained by the numerical solution of the Navier-Stokes and continuity equations in the pore space. We find that the resulting statistical properties of the tracer show a tran...

We performed a numerical analysis to study the orientation distribution of a dilute suspension of thin, rigid, rod-like nanoparticles under shearing flow near a solid boundary of weak confinement. Brownian dynamics simulation of a rod was performed under various ratios of shear rate and rod diffusivity (Peclet number), as well as the center-of-mass position (wall confinement). We discuss the ef...

The effect of the microcantilever inclination on analyte adhesion is numerically analyzed in this work. A generalized model for the analyte adhesion is considered based on wall shear stress (WSS) at the microcantilever surface. Several analytical solutions for special cases are obtained. It is found numerically that the total mass transfer is enhanced by increasing the adhesion rate, the Peclet...

We present a space-time certified reduced basis method for Burgers’ equation over the spatial interval (0, 1) and the temporal interval (0, T ] parametrized with respect to the Peclet number. We first introduce a Petrov-Galerkin space-time finite element discretization, which enjoys a favorable inf-sup constant that decreases slowly with Peclet number and final time T . We then consider an hp i...