Abstract
The ellipsoidal BGK model (ES-BGK) is a generalized version of the original BGK model, designed to yield the correct Prandtl number in the Navier-Stokes limit. In this paper, we make two observations on the entropy production functional of the ES-BGK model. First, we show that the Cercignani type estimate holds for the ES-BGK model in the whole range of relaxation parameter -1/2 < v < 1. Secondly, we observe that the ellipsoidal relaxation operator satisfies an unexpected sign-definite property. Some implications of these observations are also discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 605-619 |
| Number of pages | 15 |
| Journal | Kinetic and Related Models |
| Volume | 9 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Sep 2016 |
Keywords
- Bgk model
- Boltzmann equation
- Ellipsoidal bgk model
- Entropy production
- Kinetic theory of gases