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A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

Part of: Basic methods in fluid mechanics Turbulence Incompressible viscous fluids

Published online by Cambridge University Press:  21 June 2017

Fatih Çevik  and
Kahraman Albayrak
Fatih Çevik*
Affiliation:
Middle East Technical University, Mechanical Engineering Department, Çankaya, Ankara, Turkey Aselsan Inc., MGEO Division, Unmanned and Autonomous Systems Design Department, Akyurt Ankara, Turkey
Kahraman Albayrak*
Affiliation:
Middle East Technical University, Mechanical Engineering Department, Çankaya, Ankara, Turkey
*
*Corresponding author. Email addresses:cevik.fatih@outlook.com (F. Çevik), albayrak@metu.edu.tr (K. Albayrak)
*Corresponding author. Email addresses:cevik.fatih@outlook.com (F. Çevik), albayrak@metu.edu.tr (K. Albayrak)
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Abstract

Almost all schemes existed in the literature to solve the Lattice Boltzmann Equation like stream & collide, finite difference, finite element, finite volume 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. Alternating Direction Implicit, 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.

Keywords

Implicit finite volumelattice Boltzmann methodturbulent flow

MSC classification

Secondary: 76M12: Finite volume methods 76M28: Particle methods and lattice-gas methods 76D99: None of the above, but in this section 76F99: None of the above, but in this section
Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 2 , August 2017 , pp. 393 - 421
Copyright
Copyright © Global-Science Press 2017 

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Footnotes

Communicated by Boo-Cheong Khoo

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