A low noise discrete velocity method for the Boltzmann equation with quantized rotational and vibrational energy

JOURNAL OF COMPUTATIONAL PHYSICS

卷:352

Article

Clarke, Peter¹  Varghese, Philip¹  Goldstein, David¹ 

[1] Univ Texas Austin, ASE EM Dept, 210 East 24th St, Austin, TX 78712 USA

关键词: Boltzmann equation;    Discrete velocity method;    Larsen-Borgnakke;    Quantized internal energy;   

DOI  :  10.1016/j.jcp.2017.08.065

来源: Elsevier

【 摘 要 】

A discrete velocity method is developed for gas mixtures of diatomic molecules with both rotational and vibrational energy states. A full quantized model is described, and rotation-translation and vibration-translation energy exchanges are simulated using a Larsen-Borgnakke exchange model. Elastic and inelastic molecular interactions are modeled during every simulated collision to help produce smooth internal energy distributions. The method is verified by comparing simulations of homogeneous relaxation by our discrete velocity method to numerical solutions of the Jeans and Landau-Teller equations, and to direct simulation Monte Carlo. We compute the structure of a 1D shock using this method, and determine how the rotational energy distribution varies with spatial location in the shock and with position in velocity space. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free