Optimal Mixing Enhancement

Optimal Mixing Enhancement

We introduce a general-purpose method for optimising the mixing rate of advective fluid flows. An existing velocity field is perturbed in a C1 neighborhood to maximize the mixing rate for flows generated by velocity fields in this neighborhood. Our numerical approach is based on the infinitesimal generator of the flow and is solved by standard linear programming methods. The perturbed flow may ...

Mixing Enhancement by Optimal Flow Advection

Abstract. We consider the problem of optimal mixing control. Our objective is to best enhance mixing by flow advection while the flow is optimized in the sense that it is almost steady and is of the least magnitude and the least rotation. For this we define a mixing efficiency functional by penalizing the average of variance of a diffusive scalar, the average of the flow, and the average of its...

Optimal Mixing Enhancement by Local Perturbation

We consider the problem of how to apply local perturbations to optimally enhance the mixing of a (possibly time-dependent) dynamical system. We develop a flexible modelling approach based on the transfer operator of the dynamical system, and pose the problem in the language of convex optimisation. The optimal local perturbations can then be efficiently computed, at discrete time instants, by st...

DEPARTMENT OF MATHEMATICS TECHNICAL REPORT Mixing Enhancement by Optimal Flow Advection

Mixing enhancement in a microfluidic device