Involutive formulation and simulation for electroneutral microfluids

Bijan Mohammadi (1) , Tuomela Jukka (2)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier
2 Mathematics, Univ. Joensuu, Finland

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 assumption which makes the system essentially overdetermined. Hence we propose to use the involutive and the associated augmented form of the system in numerical computations. Numerical experiments on electrophoresis and stacking show that the completed system significantly improves electroneutrality constraint conservation and recovers analytical results while a direct implementation of the initial model fails.

Domaines: Modélisation et simulation

Bijan Mohammadi, Tuomela Jukka. Involutive formulation and simulation for electroneutral microfluids. ESAIM: Mathematical Modelling and Numerical Analysis, 2011, 45 (5), pp.901-913. ⟨10.1051/m2an/2011001⟩. ⟨hal-00789943⟩