2017/07/03 by George Arabuli, Arabuli, George
Engineering · Mathematics · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Gas Dynamics and Kinetic Theory #Material Science and Thermodynamics #Radiative Heat Transfer Studies #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.1707.00448
openalex publication_date 2017/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper presents a solution to the Boltzmann kinetic equation based on the\nconstruction of its discrete conservative model. Discrete analogue of the\ncollision integral is presented as a contraction of a tensor, which is\nindependent from the initial distribution function, colliding with a tensor\ncomposed of medium densities in the cells. Numerical implementation of the\ndiscrete model is demonstrated on the example of the isotropic gas relaxation\nproblem applied to the hard spheres model. The key feature of the method is\nindependence of the collision tensor components from the distribution function.\nConsequently the components of the collision tensor are calculated once for\nvarious initial distribution functions, which substantially increases\nperformance of the suggested method.\n