Communications in Computational Physics, ( ISI ), Volume (12), No (1), Year (2012-7) , Pages (42-64)

Title : ( Lattice Boltzmann Finite Volume Formulation with Improved Stability )

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

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The most severe limitation of the standard Lattice Boltzmann Method is the use of uniformCartesian grids especiallywhen there is a need for high resolutions near the body or thewalls. Among the recent advances in lattice Boltzmann research to handle complex geometries, a particularly remarkable option is represented by changing the solution procedure from the original ”stream and collide” to a finite volume technique. However, most of the presented schemes have stability problems. This paper presents a stable and accurate finite-volume lattice Boltzmann formulation based on a cell-centred scheme. To enhance stability, upwind second order pressure biasing factors are used as flux correctors on a D2Q9 lattice. The resulting model has been tested against a uniform flow past a cylinder and typical free shear flow problems at low and moderate Reynolds numbers: boundary layer, mixing layer and plane jet flows. The numerical results show a very good accuracy and agreement with the exact solution of the Navier-Stokes equation and previous numerical results and/or experimental data. Results in self-similar coordinates are also investigated and show that the timeaveraged statistics for velocity and vorticity express self-similarity at low Reynolds numbers. Furthermore, the scheme is applied to simulate the flow around circular cylinder and the Reynolds number range is chosen in such a way that the flow is time dependent. The agreement of the numerical results with previous results is satisfactory.


, Lattice Boltzmann equation, finite volume, stability, cell-centered scheme, free shear flows.
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author = {A.Zarghami-student and Maghrebi, Mohammad Javad and J. Ghassemi and S. Ubertini},
title = {Lattice Boltzmann Finite Volume Formulation with Improved Stability},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {1},
month = {July},
issn = {1815-2406},
pages = {42--64},
numpages = {22},
keywords = {Lattice Boltzmann equation; finite volume; stability; cell-centered scheme; free shear flows.},


%0 Journal Article
%T Lattice Boltzmann Finite Volume Formulation with Improved Stability
%A A.Zarghami-student
%A Maghrebi, Mohammad Javad
%A J. Ghassemi
%A S. Ubertini
%J Communications in Computational Physics
%@ 1815-2406
%D 2012