"VV-exchange in direct Monte Carlo simulation of rarefied gas flows"
Bondar Ye.A., Gimelshein S.F., Molchanova A.N., and Ivanov M.S.

A question of modeling of vibration-vibration (VV) exchange in calculation of rarefied gas flows by the direct simulation Monte Carlo method is considered. Two simple models for VV-exchange in collisions of simple harmonic oscillator molecules are proposed: a model with single-quantum transitions and an extension of the Larsen-Borgnakke model used widely for RT- and VT-exchange. Computation of vibrational relaxation is performed for homogeneous test conditions and for the conditions of an experiment on vibrational population evolution in nitrogen excited vibrationally by a laser. The numerical results obtained are in good agreement with experimental data.

Keywords: direct simulation Monte Carlo method, VV-exchange, RT-exchange, VT-exchange, Larsen-Borgnakke model.

  • Bondar Ye.A. – Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of Russian Academy of Science; Institutskaya ulitsa 4/1, Novosibirsk, 630090, Russia; Ph. D., Head of Laboratory, e-mail: bond@itam.nsc.ru
  • Gimelshein S.F. – Novosibirsk State University, Division of Scientific Research; ulitsa Pirogova 2, Novosibirsk, 630090, Russia; Ph. D., Head of Laboratory, e-mail: gimelshe@usc.edu
  • Molchanova A.N. – Novosibirsk State University, Faculty of Mechanics and Mathematics; ulitsa Pirogova 2, Novosibirsk, 630090, Russia; Post Graduate Student, e-mail: shumakova@itam.nsc.ru
  • Ivanov M.S. – Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of Russian Academy of Science; Institutskaya ulitsa 4/1, Novosibirsk, 630090, Russia