International Journal of Modern Physics C, ( ISI ), Volume (22), No (9), Year (2011-11) , Pages (977-1003)

Title : ( MODELING OF BIFURCATION PHENOMENA IN SUDDENLY EXPANDED FLOWS WITH A NEW FINITE VOLUME LATTICE BOLTZMANN METHOD )

Authors: A. Zarghami-student , Mohammad Javad Maghrebi , S. Ubertini , S. Succi ,

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Abstract

A lattice Boltzmann model using upstream finite volume scheme has been employed in the investigation of bifurcation and transition of flow through suddenly-expanded channels. To enhance the stability and accuracy of simulation, a fifth-order RungeKutta method is used for the time-marching and upwind biasing factors based on pressure are used as flux correctors in the lattice Boltzmann equation. In the range of Reynolds numbers investigated, the laminar flow through the expansion underwent a symmetry-breaking bifurcation. The critical Reynolds number evaluated from the experiments and the simulations were compared to other values reported in the literature. Comparisons are found to be quantitatively accurate. Furthermore, the results show that the critical Reynolds number decreases with increasing channel expansion ratio. At a fixed supercritical Reynolds number, the location at which the jet first impinges on the channel wall grows with the expansion ratio.

Keywords

LBM; finite volume; bifurcation; critical Reynolds number; sudden expansion
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@article{paperid:1024159,
author = {A. Zarghami-student and Maghrebi, Mohammad Javad and S. Ubertini and S. Succi},
title = {MODELING OF BIFURCATION PHENOMENA IN SUDDENLY EXPANDED FLOWS WITH A NEW FINITE VOLUME LATTICE BOLTZMANN METHOD},
journal = {International Journal of Modern Physics C},
year = {2011},
volume = {22},
number = {9},
month = {November},
issn = {0129-1831},
pages = {977--1003},
numpages = {26},
keywords = {LBM; finite volume; bifurcation; critical Reynolds number; sudden expansion},
}

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%0 Journal Article
%T MODELING OF BIFURCATION PHENOMENA IN SUDDENLY EXPANDED FLOWS WITH A NEW FINITE VOLUME LATTICE BOLTZMANN METHOD
%A A. Zarghami-student
%A Maghrebi, Mohammad Javad
%A S. Ubertini
%A S. Succi
%J International Journal of Modern Physics C
%@ 0129-1831
%D 2011

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