Regularization of Grad's 13 -Moment-Equations in Kinetic Gas Theory
Abstract
It is generally accepted that kinetic theory based on a statistical description of the gas provides a valid framework to describe processes in a rarefied regime or at small scales. Introductions into kinetic theory and its core, Boltzmann equation, can be found in many text books like Cercignani (1988), Cercignani (2000), Chapman and Cowling (1970) or Vincenti and Kruger (1965). The main variable used to describe the gas is the distribution function or probability density of the particle velocities which describes the number density of particles with certain velocity in each space point at a certain time. However, in many situations this detailed statistical approach yields a far too complex description of the gas. It turns out to be desirable to have a continuum model based on partial differential equations for the fluid mechanical field variables. This model should accurately approximate the multi-scale phenomena present in kinetic gas theory in a stable and compact system of field equations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2011
- Accession Number
- ADA587233
Entities
People
- Manuel Torrilhon
Organizations
- RWTH Aachen University