Two routes from the Boltzmann equation to compressible flow of polyatomic gases Online publication date: Wed, 30-Apr-2008
by Paul J. Dellar
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 8, No. 1/2/3/4, 2008
Abstract: This paper presents a systematic approach to simulating compressible flow of polyatomic gases using the Boltzmann equation for a discrete set of particle velocities. We derive the complete system of moment equations needed to recover the Navier–Stokes–Fourier equations. One may either circumvent the usual relation between pressure and internal energy density by assigning additional energies to the particles, or introduce an entirely separate set of particle distribution functions to simulate the macroscopic energy equation. The latter permits the use of longer timesteps, and may generalise more easily to multiple space dimensions. However, the momentum and energy equations must be coupled to obtain correct viscous heating for realistic values of the Prandtl number. Numerical experiments are presented for the standard one dimensional Sod shock tube benchmark for monatomic and diatomic gases using both unified 7 velocity and split 4 + 3 velocity formulations.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the Progress in Computational Fluid Dynamics, An International Journal (PCFD):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook