caa a22 4500 37893645X CHVBK 20180305123641.0 cr unu---uuuuu 161128s2004 xx s 000 0 eng 10.2478/cmam-2004-0016 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2004-0016 Andallan Laek S. Institute of Mathematics, Technical University Ilmenau, Weimarer str. 25, D-98693 Ilmenau, Germany. On the Generation of a Hexagonal Collision Model for the Boltzmann equation [Elektronische Daten] [Laek S. Andallan] In this article we prove the existence of two different classes of regular hexagons in the hexagonal grid. We develop a generalized layer-wise construction of a hexagonal discrete velocity model and derive general formulae to identify all regular hexagons belonging to the grid. We also present some numerical results based on the hexagonal grid. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. the Boltzmann equation nationallicence discrete velocity model nationallicence hexagonal grid nationallicence Computational Methods in Applied Mathematics De Gruyter 4/3(2004), 271-289 1609-4840 4:3<271 2004 4 cmam https://doi.org/10.2478/cmam-2004-0016 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2004-0016 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Andallan Laek S. Institute of Mathematics, Technical University Ilmenau, Weimarer str. 25, D-98693 Ilmenau, Germany NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 4/3(2004), 271-289 1609-4840 4:3<271 2004 4 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter