Narrow Results

In this work, a multiple relaxation time (MRT) extension of the recently introduced constant speed kinetic model (CSKM) is proposed. The CSKM, which is an entropic kinetic model and based on unconventional entropies of Burg and Tssalis, was introduced in [A. Zadehgol and M. Ashrafizaadeh, J. Comput. Phys.274, 803 (2014)]; [A. Zadehgol Phys. Rev. E91, 063311 (2015)] as an extension of the model of Boghosian et al. [Phys. Rev. E68, 025103 (2003)] in the limit of fixed speed continuous velocities. The present extension improves the stability of the previous models at very high Reynolds numbers, while allowing for a more convenient orthogonal lattice. The model is verified by solving the following benchmark problems: (i) the lid driven square cavity and (ii) the Kelvin–Helmholtz instability of thin shear layers in a doubly periodic square domain.

Let G be a finite group and $\mathcal{H}$ be a Hartley set of G. In this paper, we prove the existence and conjugacy of $\mathcal{H}$-injectors of G and describe the characterization of injectors via radicals. As applications, some known results are directly followed.

In this paper, some classes of discrete functions of k-valued logic are considered, that depend on sets of their variables in a particular way. The obtained results allow us to construct these functions and to present them in their tabular, analytical or matrix form, as hypercubes, and in particular as Latin hypercubes. Results connected with identifying of variables of some classes of functions are obtained.