ACCOUNTING THE COLLECTIVE ENVIRONMRENT MOTION IN THE MODIFIED LATTICE BOLTZMANN EQUATIONS METHOD
DOI:
https://doi.org/10.18372/2310-5461.28.9670Keywords:
numerical simulation, Lattice Boltzmann method, collective advection, distribution function, temperatureAbstract
It is proposed to take into account influence of collective motion in the modified method of the Boltzmann lattice equations by introduction of two additional stages of calculation. On the stage of modeling of collective motion of matter, the whole cell moves in the direction of the collective speed vector. As the group of particles occupies new position, they are distributed on cells taking into account their speeds distributions. It is further necessary to execute the additional step of relaxation, during which to account the matter which is on territory of every cell after the step of collective motion modeling, and to define the integral statistical distributions of speeds for every cell. At the same time, collective motion can also be taken into account in the functions of distribution on the stage of classic «static» transfer. It is suggested to enter in a model a parameter which will link the degree of account of collective motion in these two stages. Possibility of accounting of influence of temperature on the process of matter exchange is considered.References
Chung T. J. Computational Fluid Dynamics. 2nd edition / T. J. Chung. — Cambridge University Press, 2014. — 1058 p.
Moukalled F. The Finite Volume Method in Computational Fluid Dynamics: An Advanced Introduction with OpenFOAM and Matlab / F. Moukalled, L. Mangani, M. Darwish. — Springer, 2015. — 791 p.
Succi S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond /Sauro Succi. — Oxford University Press, 2001. — 304 p.
Narvaez A. Evaluation of pressure boundary conditions for permeability calculations using the lattice-Boltzmann method / Ariel Narvaez Salazar, Jens Harting // Advances in Applied Mathematics and Mechanics. — 2010. — Vol. 2, No. 5. — P. 685–700.
Perumal D. Application of Lattice Boltzmann Method to Fluid Flows in Microgeometries / D. Arumuga Perumal, Gundaravarapu V.S. Kumar and Anoop K. Dass // CFD Letters. — 2010. — Vol. 2(2). — P. 75–84.
De Izarra L. High-order lattice Boltzmann models for gas flow for a wide range of Knudsen numbers / Leonard de Izarra, Jean-Louis Rouet, Boujema Izrar // Phys. Rev. E. — 2011. — Vol. 84, No. 6. — P. 1–7.
Глазок О. М. Модифікований метод решітчастих рівнянь Больцмана з нерегулярною cіткою / О. М. Глазок // Наукоємні технології. — 2014. — № 4 (24). — С. 419–422.
Глазок О. М. Модифікований метод решітчастих рівнянь Больцмана для областей з криволінійними границями / О. М. Глазок // Наукоємні технології. — 2015. — № 1 (25). — С. 43–46.
Mohamad A. A. Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Codes / A. A. Mohamad. — Springer, 2011. — 178 p.
Ландау Л. Д. Статистическая физика. Ч. 1 / Л. Д. Ландау, Е. М. Лифшиц. — М. : Физматлит, 2010. — 616 с.
