Implicit multiblock method for solving a kinetic equation on unstructured meshes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 5, pp. 767-782

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A parallel multiblock implementation of a second-order accurate implicit numerical method based on solving a model kinetic equation is proposed for analyzing three-dimensional rarefied gas flows. The performance of the method is illustrated by computing test examples of gas flows in a circular pipe in a wide range of Knudsen numbers. The convergence rate and scalability of the method are analyzed depending on the number of blocks in the spatial grid.
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     author = {M. Dumbser and V. A. Titarev and S. V. Utyuzhnikov},
     title = {Implicit multiblock method for solving a kinetic equation on unstructured meshes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_5_a7/}
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M. Dumbser; V. A. Titarev; S. V. Utyuzhnikov. Implicit multiblock method for solving a kinetic equation on unstructured meshes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 5, pp. 767-782. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_5_a7/