Involutive formulation for electroneutral microfluids

In this paper we study a microfluidic flow model where the movement of several charged species is coupled with electric field and the motion of ambient fluid. The main numerical difficulty in this model is the net charge neutrality assuption which makes the system essentially overdetermined. Hence we propose to use the involutive and the associated augmented form of the system in numerical computations. The numerical experiments show that our approach gives significantly better results than the standard approach. Our methodology is also applicable to other overdetermined systems.