This paper deals with the spatial discretization of partial differential equations arising from Galerkin approximations to the Boltzmann equation, which preserves the entropy properties of the original collision operator. A general condition on finite difference methods is derived, which guarantees that the discrete system satisfies the appropriate equivalent of the entropy condition. As an application of this concept, entropy producing difference methods for the hydrodynamic model equations and for spherical harmonics expansions are presented.
|Original language||English (US)|
|Number of pages||16|
|Journal||Mathematical Models and Methods in Applied Sciences|
|State||Published - Feb 2001|
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics