@Article{CiCP-22-393,
author = {Fatih Cevik and Kahraman Albayrak},
title = {A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows},
journal = {Communications in Computational Physics},
year = {2018},
volume = {22},
number = {2},
pages = {393--421},
abstract = {<p style="text-align: justify;">Almost all schemes existed in the literature to solve the Lattice Boltzmann
Equation like <em>stream &amp; collide, finite difference, finite element, finite volume </em>schemes are
explicit. However, it is known fact that implicit methods utilizes better stability and
faster convergence compared to the explicit methods. In this paper, a method named
herein as Implicit Finite Volume Lattice Boltzmann Method (IFVLBM) for incompressible
laminar and turbulent flows is proposed and it is applied to some 2D benchmark
test cases given in the literature. <em>Alternating Direction Implicit</em>, an approximate factorization
method is used to solve the obtained algebraic system. The proposed method
presents a very good agreement for all the validation cases with the literature data.
The proposed method shows good stability characteristics, the CFL number is eased.
IFVLBM has about 2 times faster convergence rate compared with Implicit-Explicit
Runge Kutta method even though it possesses a computational burden from the solution
of algebraic systems of equations.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0014},
url = {http://global-sci.org/intro/article_detail/cicp/11303.html}
}