Abstract
In this paper a kinetic-theory-based upwind algorithm for the Bhatnagar-Gross-Krook (BGK)-Burnett equations is presented. The Boltzmann equation, with the BGK approximation for the collision integral, describes the spatial and temporal variations of the second-order distribution function that forms the basis of this formulation. The second-order distribution function is derived by considering the first three terms in the Chapman-Enskog expansion and using the Navier-Stokes equations to express the material derivatives, present in the second-order terms, in terms of the spatial derivatives. The BGK-Burnett equations are derived by taking moments of the BGK-Boltzmann equation with the collision invariant vector. A kinetic wave/particle split scheme for the BGK-Burnett equations is derived by taking moments of the upwind discretized BGK-Boltzmann equation. This algorithm is applied to a hypersonic shock structure problem. This is the first time that a kinetic-theory-based method has been developed for solving the BGK-Burnett equations.
| Original language | English |
|---|---|
| Pages (from-to) | 391-399 |
| Number of pages | 9 |
| Journal | Journal of thermophysics and heat transfer |
| Volume | 11 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1997 |
Keywords
- DNA duplex
- Laser desorption
- Mass spectrometry