Abstract
Discrete Boltzmann Equation (DBE) has gained attention in recent years for its ability to efficiently simulate flows that require details at both the micro and macro scales. Often in Computational Fluid Dynamics there is a tradeoff between computational expense and computational accuracy, and so a method that can simulate multiscale fluid flows accurately while also being efficient, has much to offer. Traditionally, the DBE had been limited by grided domain modeling, however emerging meshless methods are being used to address more complex geometries. In this paper, the stability of the DBE solved by the Locally Collocated Radial Basis Function Meshless Method (LCMM) is considered in the simulation of Taylor Green Vortex (TGV) flow. An alternative upwinding scheme in LCMM is proposed and demonstrated to have improved stability, without loss of accuracy.
