2014
DOI: 10.1080/00207160.2014.909033
|View full text |Cite
|
Sign up to set email alerts
|

Method of calculating the collision integral and solution of the Boltzmann kinetic equation for simple gases, gas mixtures and gases with rotational degrees of freedom

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2

Citation Types

0
3
0

Year Published

2015
2015
2025
2025

Publication Types

Select...
5
1

Relationship

0
6

Authors

Journals

citations
Cited by 12 publications
(3 citation statements)
references
References 26 publications
0
3
0
Order By: Relevance
“…Global well posedness for mild solutions has been proven in the case of inverse power molecular interactions and small data [20], and in the case of hard potentials also with small data [19]. Stability in various formulations has been extensively studied [12,20,19], in addition to numerous numerical schemes [24,30,8]. Furthermore, rigorous connections between (1.1) and the compressible Navier-Stokes equations for mixtures of fluids have been established [12].…”
Section: Introductionmentioning
confidence: 99%
“…Global well posedness for mild solutions has been proven in the case of inverse power molecular interactions and small data [20], and in the case of hard potentials also with small data [19]. Stability in various formulations has been extensively studied [12,20,19], in addition to numerous numerical schemes [24,30,8]. Furthermore, rigorous connections between (1.1) and the compressible Navier-Stokes equations for mixtures of fluids have been established [12].…”
Section: Introductionmentioning
confidence: 99%
“…The conservative projection-interpolation method, in which uniform Cartesian velocity discretization is usually employed, and post-collision velocities are interpolated to closest neighbors, has been proposed to solve the BE with realistic intermolecular potentials in three-dimensional space [32], with a numerical error of the order v|f f M | ( v is the velocity grid step, f is the VDF, and f M is the equilibrium VDF) [44]. Since VDFs at post-collision velocities are obtained by polynomial interpolation, this method is accurate at small Kn where the VDF is usually smooth (in a recent paper [46] an accuracy of ( v) 2 has been demonstrated), but loses accuracy at large Kn where VDFs have discontinuities or steep variations. Discontinuous Galerkin methods, although able to capture VDF discontinuities, turn out to be feasible only for slightly rarefied subsonic gas flows [40] because of the high computational cost.…”
Section: Introductionmentioning
confidence: 99%
“…In [6], the conservative method of calculating the Boltzmann collision integral for various types of gases is presented. A comparison with experimental and numerical data from other papers is reported and it is shown that the method under consideration allows solving the Boltzmann equation with high accuracy.…”
mentioning
confidence: 99%