A constant force function for the lattice Boltzmann equation in isotropic turbulence

Document Type : Original Article

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Department of Mathematics Suez University, Suez, Egypt

Abstract

A constant force function for the lattice Boltzmann method is introduced and parts of the programming code are presented. Adding force to the lattice Boltzmann equation is a challenging issue because the nature of the forcing techniques and the nature of the lattice Boltzmann equation (LBE) itself. The LBE is a difference equation and it is coded in the physical space, however, the forcing is usually done in the Fourier space at low wave-numbers. This paper discusses the force function and its coding to be readable by the LBE without losing of any physical meaning of the engineering problem.
A constant force function for the lattice Boltzmann method is introduced and parts of the programming code are presented. Adding force to the lattice Boltzmann equation is a challenging issue because the nature of the forcing techniques and the nature of the lattice Boltzmann equation (LBE) itself. The LBE is a difference equation and it is coded in the physical space, however, the forcing is usually done in the Fourier space at low wave-numbers. This paper discusses the force function and its coding to be readable by the LBE without losing of any physical meaning of the engineering problem.

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