# Involutive formulation and simulation for electroneutral microfluids

Bijan Mohammadi; Jukka Tuomela

ESAIM: Mathematical Modelling and Numerical Analysis (2011)

- 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 45.5 (2011): 901-913. <http://eudml.org/doc/197387>.

@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},

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

language = {eng},

month = {4},

number = {5},

pages = {901-913},

publisher = {EDP Sciences},

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

url = {http://eudml.org/doc/197387},

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

DA - 2011/4//

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; microfluids

UR - http://eudml.org/doc/197387

ER -

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