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.