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**Harvard**

Bülling, A. (2012) *Modelling of electrokinetic flow using the lattice-Boltzmann method*. Göteborg : Chalmers University of Technology

** BibTeX **

@mastersthesis{

Bülling2012,

author={Bülling, Andreas},

title={Modelling of electrokinetic flow using the lattice-Boltzmann method},

abstract={The lattice-Boltzmann method is used to model
ow in electrokinetic systems. A modelling
approach based on the coupling of Navier-Stokes, Nernst-Planck and Poisson's
equation of electrostatics is utilised. Three lattice-Boltzmann methods are formulated
for the three equations respectively.
The method is implemented in C++ with the aim of being high performing. Topics as
locality, instruction pipelines and parallel computing are considered. The implementation
is tested for a number of classic examples with known solutions, e.g. Taylor-Green
vortex
ow, an Helmholtz equation and an advection-diffusion situation. The computed
solutions agree well with the analytic solutions.
The physical systems modelled consists mainly of various charged channel
ows of
ionic solutions. Electrokinetic effects, such as electroosmosis and the electrovicous effect
are studied. This is done in thin channels where the thickness of the electrical double
layers is comparable to the channel dimension. The electroviscous effect is shown to
slow the
ow down and a local minimum is found in the velocity profile for thick enough
double layers. Other more complicated systems are also studied; electroosmotic
ow in
a channel with heterogeneously charged walls and
ow in a an array of charged squares.},

publisher={Institutionen för matematiska vetenskaper, matematik, Chalmers tekniska högskola},

place={Göteborg},

year={2012},

keywords={lattice-Boltzmann, electrokinetics, electrohydrodynamics, Nernst-Planck, Poisson-Boltzmann, high performance computing},

note={84},

}

** RefWorks **

RT Generic

SR Electronic

ID 170015

A1 Bülling, Andreas

T1 Modelling of electrokinetic flow using the lattice-Boltzmann method

YR 2012

AB The lattice-Boltzmann method is used to model
ow in electrokinetic systems. A modelling
approach based on the coupling of Navier-Stokes, Nernst-Planck and Poisson's
equation of electrostatics is utilised. Three lattice-Boltzmann methods are formulated
for the three equations respectively.
The method is implemented in C++ with the aim of being high performing. Topics as
locality, instruction pipelines and parallel computing are considered. The implementation
is tested for a number of classic examples with known solutions, e.g. Taylor-Green
vortex
ow, an Helmholtz equation and an advection-diffusion situation. The computed
solutions agree well with the analytic solutions.
The physical systems modelled consists mainly of various charged channel
ows of
ionic solutions. Electrokinetic effects, such as electroosmosis and the electrovicous effect
are studied. This is done in thin channels where the thickness of the electrical double
layers is comparable to the channel dimension. The electroviscous effect is shown to
slow the
ow down and a local minimum is found in the velocity profile for thick enough
double layers. Other more complicated systems are also studied; electroosmotic
ow in
a channel with heterogeneously charged walls and
ow in a an array of charged squares.

PB Institutionen för matematiska vetenskaper, matematik, Chalmers tekniska högskola,

LA eng

LK http://publications.lib.chalmers.se/records/fulltext/170015/170015.pdf

OL 30