Geodesic
A numerical method for analyzing the Knudsen micropump characteristics
Numerical methods and programming, Tome 12 (2011) no. 1, pp. 16-27

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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. 
@article{VMP_2011_12_1_a1,
     author = {Yu. Yu. Kloss and D. V. Martynov and F. G. Cheremisin},
     title = {A numerical method for analyzing the {Knudsen} micropump characteristics},
     journal = {Numerical methods and programming},
     pages = {16--27},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a1/}
}
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Yu. Yu. Kloss; D. V. Martynov; F. G. Cheremisin. A numerical method for analyzing the Knudsen micropump characteristics. Numerical methods and programming, Tome 12 (2011) no. 1, pp. 16-27. http://geodesic.mathdoc.fr/item/VMP_2011_12_1_a1/