| Issue |
ESAIM: M2AN
Volume 45, Number 5, September-October 2011
|
|
|---|---|---|
| Page(s) | 901 - 913 | |
| DOI | https://doi.org/10.1051/m2an/2011001 | |
| Published online | 15 April 2011 | |
Involutive formulation and simulation for electroneutral microfluids
1
Institut de Mathématiques et Modélisation de Montpellier,
Université Montpellier II, France. bijan.mohammadi@univ-montp2.fr
2
Department of Physics and Mathematics,
University of Eastern Finland, Finland. jukka.tuomela@uef.fi
Received:
17
September
2009
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.
Mathematics Subject Classification: 35K55 / 58J10 / 65M60 / 76W05
Key words: Microfluids / electrophoresis / stacking / overdetermined PDE systems / involution
© EDP Sciences, SMAI, 2011
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