A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy
Z. Y. Yuan Z. Y. Yuan,
Z. Chen Z. Chen,
C. Shu C. Shu
et al.
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 ar… Show more
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