Fokker-Planck description of fluid flows: efficient particle Monte-Carlo schemes for gases
Event details
| Date | 31.10.2016 |
| Hour | 10:30 › 11:30 |
| Speaker |
Dr. Hossein Gorji AICES, RWTH Aachen, Univ., Dept. of Mathematics, Aachen, D |
| Location |
PPB 019
|
| Category | Conferences - Seminars |
Fluid flows far from the equilibrium continue to be one of the main challenges in fluid mechanics and computational sciences. For dilute gases, the Boltzmann equation provides the accurate description of the velocity distribution evolution due to binary collisions among molecules. Though not exclusively, the Direct Simulation Monte-Carlo (DSMC) method of Bird is employed for simulations of such flows. However as the flow approaches the equilibrium, the collision operator demands more operations resulting in expensive computations for particle schemes à la DSMC. Recently, Fokker-Planck based particle Monte-Carlo methods were derived upon the Boltzmann operator. In contrast to DSMC, here the associated stochastic processes imply independent trajectories for particles and hence leading to the computational complexity independent of the Knudsen number. Since here no collisions need to be performed, efficient simulations become possible; from the hydrodynamic limit all the way to free molecular regime. In this talk, we review such Fokker-Planck models for rarefied neutral gases. Furthermore, the issue of the statistical errors will be addressed. It is shown how the idea of correlated processes can be adopted in order to reduce the statistical errors at low Mach flows. The talk will be concluded by an outlook to the extension of the Fokker-Planck solution algorithm for dense gases and plasmas.
Practical information
- Informed public
- Free
Organizer
- Prof. P. Ricci
Contact
- Prof. P. Ricci