Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Simulation of 2D rarefied gas flows based on the numerical solution of the Boltzmann equation. / Poleshkin, Sergey O.; Malkov, Ewgenij A.; Kudryavtsev, Alexey N. et al.
Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017: Dedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS. ed. / Fomin. Vol. 1893 American Institute of Physics Inc., 2017. 030050 (AIP Conference Proceedings; Vol. 1893).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Simulation of 2D rarefied gas flows based on the numerical solution of the Boltzmann equation
AU - Poleshkin, Sergey O.
AU - Malkov, Ewgenij A.
AU - Kudryavtsev, Alexey N.
AU - Shershnev, Anton A.
AU - Bondar, Yevgeniy A.
AU - Kohanchik, A. A.
PY - 2017/10/26
Y1 - 2017/10/26
N2 - There are various methods for calculating rarefied gas flows, in particular, statistical methods and deterministic methods based on the finite-difference solutions of the Boltzmann nonlinear kinetic equation and on the solutions of model kinetic equations. There is no universal method; each has its disadvantages in terms of efficiency or accuracy. The choice of the method depends on the problem to be solved and on parameters of calculated flows. Qualitative theoretical arguments help to determine the range of parameters of effectively solved problems for each method; however, it is advisable to perform comparative tests of calculations of the classical problems performed by different methods and with different parameters to have quantitative confirmation of this reasoning. The paper provides the results of the calculations performed by the authors with the help of the Direct Simulation Monte Carlo method and finite-difference methods of solving the Boltzmann equation and model kinetic equations. Based on this comparison, conclusions are made on selecting a particular method for flow simulations in various ranges of flow parameters.
AB - There are various methods for calculating rarefied gas flows, in particular, statistical methods and deterministic methods based on the finite-difference solutions of the Boltzmann nonlinear kinetic equation and on the solutions of model kinetic equations. There is no universal method; each has its disadvantages in terms of efficiency or accuracy. The choice of the method depends on the problem to be solved and on parameters of calculated flows. Qualitative theoretical arguments help to determine the range of parameters of effectively solved problems for each method; however, it is advisable to perform comparative tests of calculations of the classical problems performed by different methods and with different parameters to have quantitative confirmation of this reasoning. The paper provides the results of the calculations performed by the authors with the help of the Direct Simulation Monte Carlo method and finite-difference methods of solving the Boltzmann equation and model kinetic equations. Based on this comparison, conclusions are made on selecting a particular method for flow simulations in various ranges of flow parameters.
UR - http://www.scopus.com/inward/record.url?scp=85034211506&partnerID=8YFLogxK
U2 - 10.1063/1.5007508
DO - 10.1063/1.5007508
M3 - Conference contribution
AN - SCOPUS:85034211506
VL - 1893
T3 - AIP Conference Proceedings
BT - Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017
A2 - Fomin, null
PB - American Institute of Physics Inc.
T2 - 25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017
Y2 - 5 June 2017 through 9 June 2017
ER -
ID: 9697410