Numerical Investigation of Rarefied Gas Flows by a Statistical Particle-in-Cell Method
Abstract
A modification of the particle-in-cell method is considered which can model complex and general gas flows in the presence of large deformations. The model is based on merging ideas of splitting in the large-particle method in terms of Bird's statistical treatment (1970) with Kats' ideas (1965) on the existence of models asymptotically equivalent to the Boltzmann equations. The main calculation cycle comprises two stages: the first stage, where particles collide only with their counterparts in a cell (collision relaxation) and the second stage, where they are only displaced and interact with the boundary of a reference volume and with the surface of the body (collisionless relaxation).
- Publication:
-
Some Methods of Resolution of Free Surface Problems
- Pub Date:
- 1976
- DOI:
- 10.1007/3-540-08004-X_304
- Bibcode:
- 1976LNP....59..107B
- Keywords:
-
- Numerical Flow Visualization;
- Particle In Cell Technique;
- Rarefied Gas Dynamics;
- Statistical Analysis;
- Boltzmann Transport Equation;
- Particle Collisions;
- Relaxation (Mechanics);
- Fluid Mechanics and Heat Transfer