Geodesic
VV-exchange in direct Monte Carlo simulation of rarefied gas flows
Numerical methods and programming, Tome 15 (2014) no. 4, pp. 549-559.

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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. 
@article{VMP_2014_15_4_a0,
     author = {E. A. Bondar' and S. F. Gimelshein and A. N. Molchanova and M. S. Ivanov},
     title = {VV-exchange in direct {Monte} {Carlo} simulation of rarefied gas flows},
     journal = {Numerical methods and programming},
     pages = {549--559},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a0/}
}
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E. A. Bondar'; S. F. Gimelshein; A. N. Molchanova; M. S. Ivanov. VV-exchange in direct Monte Carlo simulation of rarefied gas flows. Numerical methods and programming, Tome 15 (2014) no. 4, pp. 549-559. http://geodesic.mathdoc.fr/item/VMP_2014_15_4_a0/