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) |
|---|---|
| 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 |
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Keywords
- Adding and doubling
- discrete ordinates
- duct transport
- Richardsons acceleration
- Wynn-epsilon acceleration
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Transportation
- Physics and Astronomy(all)
- Applied Mathematics
Cite this
Particle Transport in a 3D Duct by Adding and Doubling. / Ganapol, Barry D.
In: Journal of Computational and Theoretical Transport, Vol. 46, No. 3, 16.04.2017, p. 202-228.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Particle Transport in a 3D Duct by Adding and Doubling
AU - Ganapol, Barry D
PY - 2017/4/16
Y1 - 2017/4/16
N2 - 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.
AB - 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.
KW - Adding and doubling
KW - discrete ordinates
KW - duct transport
KW - Richardsons acceleration
KW - Wynn-epsilon acceleration
UR - http://www.scopus.com/inward/record.url?scp=85023618704&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85023618704&partnerID=8YFLogxK
U2 - 10.1080/23324309.2017.1311268
DO - 10.1080/23324309.2017.1311268
M3 - Article
AN - SCOPUS:85023618704
VL - 46
SP - 202
EP - 228
JO - Journal of Computational and Theoretical Transport
JF - Journal of Computational and Theoretical Transport
SN - 2332-4309
IS - 3
ER -