Minimal number of discrete velocities for a flow description and internal structural evolution of a shock wave
Mathematical Physics
2020-11-10 v2 math.MP
Computational Physics
Fluid Dynamics
Abstract
A fluid flow is described by fictitious particles hopping on homogeneously distributed nodes with a given finite set of discrete velocities. We emphasize that the existence of a fictitious particle having a discrete velocity among the set in a node is given by a probability. We describe a compressible thermal flow of the level of accuracy of the Navier-Stokes equation by 25 or 33 discrete velocities for two-dimensional space and perform simulations for investigating internal structural evolution of a shock wave.
Keywords
Cite
@article{arxiv.1107.3196,
title = {Minimal number of discrete velocities for a flow description and internal structural evolution of a shock wave},
author = {Jae Wan Shim},
journal= {arXiv preprint arXiv:1107.3196},
year = {2020}
}