A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flow

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2017-08-01

Author

Cevik, Fatih
Albayrak, Kahraman

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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 BoltzmannMethod (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.

Subject Keywords

Implicit finite volume, Lattice Boltzmann method, Turbulent flow

URI

https://hdl.handle.net/11511/31840

Journal

COMMUNICATIONS IN COMPUTATIONAL PHYSICS

DOI

https://doi.org/10.4208/cicp.oa-2016-0014

Collections

Graduate School of Natural and Applied Sciences, Article

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Citation Formats

F. Cevik and K. Albayrak, “A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flow,” COMMUNICATIONS IN COMPUTATIONAL PHYSICS, pp. 393–421, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31840.