Efficient particle methods for solving the Boltzmann equation
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2007.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
| Published: |
Massachusetts Institute of Technology
2007
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/38649 |
| _version_ | 1811091319700848640 |
|---|---|
| author | Homolle, Thomas (Thomas Michel Marie) |
| author2 | Nicholas G. Hadjiconstantinou. |
| author_facet | Nicholas G. Hadjiconstantinou. Homolle, Thomas (Thomas Michel Marie) |
| author_sort | Homolle, Thomas (Thomas Michel Marie) |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2007. |
| first_indexed | 2024-09-23T15:00:37Z |
| format | Thesis |
| id | mit-1721.1/38649 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T15:00:37Z |
| publishDate | 2007 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/386492019-04-12T21:23:20Z Efficient particle methods for solving the Boltzmann equation Homolle, Thomas (Thomas Michel Marie) Nicholas G. Hadjiconstantinou. Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics. Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics. Aeronautics and Astronautics. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2007. Includes bibliographical references (leaves 85-86). A new particle simulation method for solving the Boltzmann equation is presented and tested. This method holds a significant computational efficiency advantage for low-signal flows compared to traditional particle methods such as the Direct Simulation Monte Carlo (DSMC). More specifically, the proposed algorithm can efficiently simulate arbitrarily small deviations from equilibrium (e.g. low speed flows) at a computational cost that does not scale with the deviation from equilibrium, while maintaining the basic algorithmic structure of DSIMC. This is achieved by incorporating the variance reduction ideas presented in [L. L. Baker and N. G. Hadjiconstantinou, Physics of Fluids, vol 17, art. no 051703, 2005] within a collision integral formulation; the latter ensures that the deviation from equilibrium remains finite and thus the calculation remains stable for collision dominated flows, in contrast to previous attempts. The formulation, developed within this thesis, is described in detail. The resulting scheme is validated for a wide range of Knudsen numbers (ratio of molecular mean free path to characteristic flow lengthscale) -- ranging from collision-dominated flow -- to collisionless flow- and a wide range of deviations from equilibrium. Excellent agreement is found with DSMC solutions for linear and weakly non-linear flows. by Thomas Homolle. S.M. 2007-08-29T20:39:46Z 2007-08-29T20:39:46Z 2007 2007 Thesis http://hdl.handle.net/1721.1/38649 163154615 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 86 leaves application/pdf Massachusetts Institute of Technology |
| spellingShingle | Aeronautics and Astronautics. Homolle, Thomas (Thomas Michel Marie) Efficient particle methods for solving the Boltzmann equation |
| title | Efficient particle methods for solving the Boltzmann equation |
| title_full | Efficient particle methods for solving the Boltzmann equation |
| title_fullStr | Efficient particle methods for solving the Boltzmann equation |
| title_full_unstemmed | Efficient particle methods for solving the Boltzmann equation |
| title_short | Efficient particle methods for solving the Boltzmann equation |
| title_sort | efficient particle methods for solving the boltzmann equation |
| topic | Aeronautics and Astronautics. |
| url | http://hdl.handle.net/1721.1/38649 |
| work_keys_str_mv | AT homollethomasthomasmichelmarie efficientparticlemethodsforsolvingtheboltzmannequation |