Lattice Boltzmann methods for use in irregular channels

This Lattice-Boltzmann method is a popular method for
modeling fluid flow. This book, which is a revised
revision of a master degree thesis, first covers the
foundations of the Lattice-Boltzmann method in the
Boltzmann equation, considering its derivation,
physical interpretation, and the collision operator,
as well as how the Navier-Stokes equations for fluid
flow are derived. Simulations with the
Lattice-Boltzmann method demonstrate how flow
patterns fit with analytical theory for simple flow
patterns such as Poiseuille and Couette flow. More
complex flows where there is an irregularity to the
channel are then investigated, with a focus on the
effect such irregularities have on the pressure and
velocity field. The appendix includes a working code
for Lattice-Boltzmann method written in MatLab.

Autorentext

Sigvat Stensholt is a PhD student at the University of Bergen. Hefinished his master degree in June 2005.

Klappentext

This Lattice-Boltzmann method is a popular method formodeling fluid flow. This book, which is a revisedrevision of a master degree thesis, first covers thefoundations of the Lattice-Boltzmann method in theBoltzmann equation, considering its derivation,physical interpretation, and the collision operator,as well as how the Navier-Stokes equations for fluidflow are derived. Simulations with theLattice-Boltzmann method demonstrate how flowpatterns fit with analytical theory for simple flowpatterns such as Poiseuille and Couette flow. Morecomplex flows where there is an irregularity to thechannel are then investigated, with a focus on theeffect such irregularities have on the pressure andvelocity field. The appendix includes a working codefor Lattice-Boltzmann method written in MatLab.