TY - JOUR
T1 - Dots
T2 - Pseudo-time-stepping solution of the discrete ordinate equations
AU - Fiterman, A.
AU - Ben-Zvi, R.
AU - Kribus, A.
N1 - Funding Information:
Receive d 17 February 1998; accepte d 17 August 1998. Support for this work was provide d by Rotem Industrie s, the Israe l Ministry of Absorption , and the Israe l Ministry of Industry and Trade. The pre sent addre ss of A. Fite rman is Star Data Systems Inc., 900-1 Toronto St., Toronto, O ntario M5C 2V 6, Canada. Address corre sponde nce to Prof. Abraham Kribus, Weizmann Institute of Science, E nvironmen-tal Scie nces and Energy Re se arch Department, Rehovot 76100, Israel.
PY - 1999/3
Y1 - 1999/3
N2 - The Discrete Ordinates with Time Stepping (DOTS) numerical solution method for the general discrete ordinates approximation of the radiative transport equation is presented. A pseudo-time iteration is employed, with simultaneous updating of all ordinates in each sweep. This may be beneficial for cases with strong scattering and therefore strong coupling between ordinate directions. The iteration is guaranteed to converge, subject to a stability criterion similar to the Courant-Friedrichs-Lewy stability condition. The DOTS algorithm was implemented for general three-dimensional geometry, boundary conditions, and medium properties. Convergence rates were significantly improved by including a multigrid process. We demonstrate the validity of the code on benchmark cases. The methods and implementation are compatible with mainstream computational fluid dynamics practices, and can be easily integrated with existing CFD codes.
AB - The Discrete Ordinates with Time Stepping (DOTS) numerical solution method for the general discrete ordinates approximation of the radiative transport equation is presented. A pseudo-time iteration is employed, with simultaneous updating of all ordinates in each sweep. This may be beneficial for cases with strong scattering and therefore strong coupling between ordinate directions. The iteration is guaranteed to converge, subject to a stability criterion similar to the Courant-Friedrichs-Lewy stability condition. The DOTS algorithm was implemented for general three-dimensional geometry, boundary conditions, and medium properties. Convergence rates were significantly improved by including a multigrid process. We demonstrate the validity of the code on benchmark cases. The methods and implementation are compatible with mainstream computational fluid dynamics practices, and can be easily integrated with existing CFD codes.
UR - http://www.scopus.com/inward/record.url?scp=0033096591&partnerID=8YFLogxK
U2 - 10.1080/104077999275938
DO - 10.1080/104077999275938
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AN - SCOPUS:0033096591
SN - 1040-7790
VL - 35
SP - 163
EP - 183
JO - Numerical Heat Transfer, Part B: Fundamentals
JF - Numerical Heat Transfer, Part B: Fundamentals
IS - 2
ER -