Involutive formulation and simulation for electroneutral microfluids
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 45 (2011) no. 5, p. 901-913

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.

DOI : https://doi.org/10.1051/m2an/2011001
Classification:  35K55,  58J10,  65M60,  76W05
Keywords: microfluids, electrophoresis, stacking, overdetermined PDE systems, involution
@article{M2AN_2011__45_5_901_0,
     author = {Mohammadi, Bijan and Tuomela, Jukka},
     title = {Involutive formulation and simulation for electroneutral microfluids},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {5},
     year = {2011},
     pages = {901-913},
     doi = {10.1051/m2an/2011001},
     zbl = {1267.76132},
     mrnumber = {2817549},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2011__45_5_901_0}
}
Mohammadi, Bijan; Tuomela, Jukka. Involutive formulation and simulation for electroneutral microfluids. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 45 (2011) no. 5, pp. 901-913. doi : 10.1051/m2an/2011001. http://www.numdam.org/item/M2AN_2011__45_5_901_0/

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