Abstract
How particles are transported through a duct by Lambertian reflection from duct walls is again considered. This popular transport example has been solved with most numerical transport methods except notably one—the method of adding and doubling. We shall show that the method of doubling provides every bit as, or more, accurate reflectances and transmittances as the numerical discrete ordinates and analytical discrete ordinates methods with generally less mathematical and numerical effort.
Original language | English (US) |
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Pages (from-to) | 202-228 |
Number of pages | 27 |
Journal | Journal of Computational and Theoretical Transport |
Volume | 46 |
Issue number | 3 |
DOIs | |
State | Published - Apr 16 2017 |
Keywords
- Adding and doubling
- Richardsons acceleration
- Wynn-epsilon acceleration
- discrete ordinates
- duct transport
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Transportation
- General Physics and Astronomy
- Applied Mathematics