Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 10, pp. 1811-1826

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The method based on the numerical solution of a model kinetic equation is proposed for analyzing three-dimensional rarefied gas flows. The basic idea behind the method is the use of a second-order accurate TVD scheme on hybrid unstructured meshes in physical space and a fast implicit time discretization method without iterations at the upper level. The performance of the method is illustrated by computing test examples of three-dimensional rarefied gas flows in variously shaped channels in a wide range of Knudsen numbers.
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     title = {Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_10_a7/}
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V. A. Titarev. Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 10, pp. 1811-1826. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_10_a7/