Geodesic
Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1255-1270

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A high-order accurate method for analyzing two-dimensional rarefied gas flows is proposed on the basis of a nonstationary kinetic equation in arbitrarily shaped regions. The basic idea behind the method is the use of hybrid unstructured meshes in physical space. Special attention is given to the performance of the method in a wide range of Knudsen numbers and to accurate approximations of boundary conditions. Examples calculations are provided. 
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     author = {V. A. Titarev},
     title = {Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1255--1270},
     publisher = {mathdoc},
     volume = {49},
     number = {7},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a10/}
}
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V. A. Titarev. Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1255-1270. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a10/