Derivation of Grad's Thirteen Regularized Moment Equations Using a Hermite Polynomial Representation of Velocity Distribution Function (Preprint)
Journal article Preprint
AIR FORCE RESEARCH LAB EDWARDS AFB CA PROPULSION DIRECTORATE
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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.
- Numerical Mathematics
- Fluid Mechanics