# Involutive formulation and simulation for electroneutral microfluids

Bijan Mohammadi; Jukka Tuomela

- Volume: 45, Issue: 5, page 901-913
- ISSN: 0764-583X

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topMohammadi, Bijan, and Tuomela, Jukka. "Involutive formulation and simulation for electroneutral microfluids." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 45.5 (2011): 901-913. <http://eudml.org/doc/273293>.

@article{Mohammadi2011,

abstract = {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.},

author = {Mohammadi, Bijan, Tuomela, Jukka},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {microfluids; electrophoresis; stacking; overdetermined PDE systems; involution},

language = {eng},

number = {5},

pages = {901-913},

publisher = {EDP-Sciences},

title = {Involutive formulation and simulation for electroneutral microfluids},

url = {http://eudml.org/doc/273293},

volume = {45},

year = {2011},

}

TY - JOUR

AU - Mohammadi, Bijan

AU - Tuomela, Jukka

TI - Involutive formulation and simulation for electroneutral microfluids

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2011

PB - EDP-Sciences

VL - 45

IS - 5

SP - 901

EP - 913

AB - 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.

LA - eng

KW - microfluids; electrophoresis; stacking; overdetermined PDE systems; involution

UR - http://eudml.org/doc/273293

ER -

## References

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