This article is cited in 1 paper

Вычислительные методы и приложения

A numerical method for analyzing the Knudsen micropump characteristics

Yu. Yu. Kloss^a, D. V. Martynov^b, F. G. Cheremisin<sup>c

a</sup> Russian Research Centre "Kurchatov Institute", Moscow
^b Moscow Institute of Physics and Technology
^c Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow

Abstract: A numerical method for the Boltzmann kinetic equation is proposed. Elastic collisions are computed by the projection method. The transfer operator is approximated using tetrahedral meshes. The main requirements for coordinate meshes are formulated; it is shown that the usage of variable edge length and tetrahedron quality optimizers decreases the amount of time needed to solve the problem. As examples, several models of straight cylindrical and curved pipes as well as snake Knudsen pumps are discussed.

Keywords: Boltzmann equation; projection method; tetrahedral meshes; Knudsen pump.

UDC: 51-37