@Article{AAMM-16-738,
author = {Yuan , Z. Y.Chen , Z.Shu , C.Liu , Y. Y. and Zhang , Z. L.},
title = {A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {3},
pages = {738--770},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0107},
url = {http://global-sci.org/intro/article_detail/aamm/22936.html}
}