Involutive formulation and simulation for electroneutral microfluids

Bijan Mohammadi; Jukka Tuomela

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2011)

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

Abstract

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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.

How to cite

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Mohammadi, 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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