caa a22 4500 475797159 CHVBK 20180406123727.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/s000330050002 doi (NATIONALLICENCE)springer-10.1007/s000330050002 Struchtrup H. Dipartimento di Matematica, Università di Catania, Viale A. Doria 6, I-95125 Catania, Italia, e-mail: henning@dipmat.unict.it, IT aut Kinetic schemes and boundary conditions for moment equations [Elektronische Daten] [H. Struchtrup] Abstract.: A numerical scheme for moment equations of kinetic theory, due to LeTallec & Perlat, is considered for the calculation of stationary heat transfer in the Grad 13 moment system and linearized extended thermodynamics of 14 moments. It is shown that the required distance of grid points must be considerably smaller than the mean free path. Thus, the kinetic scheme is useful only in the case of large Knudsen numbers. Results of the numerical calculation for 13 and 14 moments are compared with an analytical solution for heat transfer with 13 moments. The results indicate that the boundary conditions do not guarantee conservation of energy at the walls. In order to overcome this deficiency a modification of the boundary conditions is presented and discussed. Birkhäuser Verlag, Basel,, 2000 Key words. Kinetic theory of gases, moments, boundary conditions nationallicence https://doi.org/10.1007/s000330050002 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000330050002 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Struchtrup H. Dipartimento di Matematica, Università di Catania, Viale A. Doria 6, I-95125 Catania, Italia, e-mail: henning@dipmat.unict.it, IT aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer