A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy
Year: 2024
Author: Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 3 : pp. 738–770
Abstract
In this paper, we propose a new way to construct the distribution function through the second-order polynomial approximation in terms of particle mass, momentum and energy. The new construction holds three distinguished features. First, the formulations are more concise as compared with the third-order truncated Hermite polynomial expansion which yields Grad’s 13-moment distribution function; Second, all moments of the present distribution function are determined from conservation laws; Third, these moments are closely linked to the most desirable variables, such as mass, momentum and energy. Then, this new distribution function is applied to construct a new gas kinetic flux solver. Numerical validations show that the proposed method recovers the Navier-Stokes solutions in the continuum regime. In addition, it outperforms Grad’s 13-moment distribution function in the transition regime, especially in the prediction of temperature and heat flux.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2023-0107
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 3 : pp. 738–770
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Second-order truncated expansion peculiar velocity space compatibility conditions and moment relationships gas kinetic flux solver continuum regime to rarefied regime.
Author Details
Z. Y. Yuan Email
Z. Chen Email
C. Shu Email
Y. Y. Liu Email
Z. L. Zhang Email