Accession Number:

ADA523024

Title:

Derivation of Grad's Thirteen Regularized Moment Equations Using a Hermite Polynomial Representation of Velocity Distribution Function (Preprint)

Descriptive Note:

Journal article Preprint

Corporate Author:

AIR FORCE RESEARCH LAB EDWARDS AFB CA PROPULSION DIRECTORATE

Personal Author(s):

Report Date:

2010-06-16

Pagination or Media Count:

31.0

Abstract:

This paper derives the transport equations for rarefied gases from the Bhatnagar-Gross-Krook BGK model kinetic equation using Hermite polynomial representation of the velocity distribution function. We apply the Champmen-Enskog method to Grads thirteen moment equations to derive a closure of Grads 13 moment equations, extending them to third order of the Knudsen number. The velocity distribution function for the resulting 13 regularized moment equations is presented.

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE