We point out that the minimal components of tensorial moments distribution can be independently relaxed in collision without violating rotational symmetry are its irreducible representation (irrep) SO(3), and a generic multiple-relaxation-time model constructed by relaxing these components. As simplest example irreps second moment traceless deviatoric stress an isotropic tensor which is conserv...

The Bhatnagar-Gross-Krook (BGK) single-relaxation-time collision model for the Boltzmann equation serves as foundation of lattice BGK (LBGK) method developed in recent years. description a uniform relaxation process distribution function towards its equilibrium is, many scenarios, simplistic. Based on previous series papers, we present formulated independent relaxations irreducible components H...

A new method in robot path generation is presented using an analysis of the characteristics of multi-robot collision avoidance. The research is based on the concept of the collision map, where the collision between two robots is presented by a collision region and a crossing curve TLVSTC (traveled length versus servo time curve). Analytic collision avoidance is considered by translating the col...

having sufficient and accurate understanding about kinetics of phenomena, could be an important reason for further technological progresses. finding a white-box mathematical model for weight vs. time curves of electrophoretic deposition (epd) using large and small signal analysis has been studied thoroughly in the present investigation. weight-time curves of nano-mullite suspension have been tr...

INTRODUCTION Under the connected vehicle environment, vehicles will be able to exchange traffic information with roadway infrastructure and other vehicles. With such information, collision warning systems (CWSs) will be able to warn drivers with potentially hazardous situations within or out of sight and reduce collision accidents. The lead time of warning messages is a crucial factor in determ...