A numerical method for analyzing the Knudsen micropump characteristics

Authors

  • Yu.Yu. Kloss
  • D.V. Martynov
  • F.G. Cheremissine

Keywords:

Boltzmann equation
projection method
tetrahedral meshes
Knudsen pump

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.

New computational technologies

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Published

2010-12-27

Issue

Vol. 12 (2011): Issue 1.

Section

Section 1. Numerical methods and applications

Author Biographies

Yu.Yu. Kloss

National Research Center «Kurchatov Institute»
• Head of Laboratory

D.V. Martynov

Moscow Institute of Physics and Technology
• Student

F.G. Cheremissine

Dorodnicyn Computing Centre of RAS
• Leading Researcher

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