A Novel Velocity Discretization for Lattice Boltzmann Method: Application to Compressible Flow

Autor:	Afrasiabian, Navid, Denniston, Colin
Rok vydání:	2024
Předmět:	Condensed Matter - Soft Condensed Matter Condensed Matter - Materials Science Physics - Fluid Dynamics
Druh dokumentu:	Working Paper
Popis:	The Lattice Boltzmann Method (LBM) has emerged as a powerful tool in computational fluid dynamics and material science. However, standard LBM formulation imposes some limitations on the applications of the method, particularly compressible fluids. In this paper, we introduce a new velocity discretization method to overcome some of these challenges. In this new formulation, the particle populations are discretized using a bump function that has a mean and a variance. This introduces enough independent degrees of freedom to set the equilibrium moments to the moments of Maxwell-Boltzmann distribution up to and including the third moments. Consequently, the correct macroscopic fluid dynamics equations for compressible fluids are recovered. We validate our method using several benchmark simulations. Comment: 33 pages, 10 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2501.00620 Zobrazit plný text záznamu View this record from Arxiv