New treatment of the radiation transport equation using the discrete ordinates method

John C. Chai; Suhas V. Patankar; Haeok S. Lee

New treatment of the radiation transport equation using the discrete ordinates method

John C. Chai, Suhas V. Patankar, Haeok S. Lee

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A new discretization procedure and spatial differencing scheme for the discrete ordinates method are proposed and tested in this study. The new procedure achieves faster convergence without any acceleration schemes. The new spatial differencing scheme is no more expensive to use than the exponential scheme. Both the discretization procedure and the spatial differencing scheme are tested for absorbing, emitting, and anisotropically scattering media. The same accuracy is achieved with the new differencing scheme with 30% of the number of control volumes needed for the exponential scheme. With the new discretization procedure, savings in C.P.U. times of 77%, 52%, and 35%, over the traditional discretization practice, are obtained in the computations of a two-dimensional enclosure using S₄, S₈, and S₁₂ discrete ordinates, respectively.

Original language	English
Title of host publication	General Papers in Heat Transfer and Heat Transfer in Hazardous Waste Processing
Publisher	Publ by ASME
Pages	31-39
Number of pages	9
ISBN (Print)	0791810526
Publication status	Published - 1992
Externally published	Yes
Event	Winter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA Duration: Nov 8 1992 → Nov 13 1992

Publication series

Name	American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume	212
ISSN (Print)	0272-5673

Conference

Conference	Winter Annual Meeting of the American Society of Mechanical Engineers
City	Anaheim, CA, USA
Period	11/8/92 → 11/13/92

ASJC Scopus subject areas

Mechanical Engineering
Fluid Flow and Transfer Processes

Cite this

New treatment of the radiation transport equation using the discrete ordinates method. / Chai, John C.; Patankar, Suhas V.; Lee, Haeok S.
General Papers in Heat Transfer and Heat Transfer in Hazardous Waste Processing. Publ by ASME, 1992. p. 31-39 (American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD; Vol. 212).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chai, JC, Patankar, SV & Lee, HS 1992, New treatment of the radiation transport equation using the discrete ordinates method. in General Papers in Heat Transfer and Heat Transfer in Hazardous Waste Processing. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, vol. 212, Publ by ASME, pp. 31-39, Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, CA, USA, 11/8/92.

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abstract = "A new discretization procedure and spatial differencing scheme for the discrete ordinates method are proposed and tested in this study. The new procedure achieves faster convergence without any acceleration schemes. The new spatial differencing scheme is no more expensive to use than the exponential scheme. Both the discretization procedure and the spatial differencing scheme are tested for absorbing, emitting, and anisotropically scattering media. The same accuracy is achieved with the new differencing scheme with 30% of the number of control volumes needed for the exponential scheme. With the new discretization procedure, savings in C.P.U. times of 77%, 52%, and 35%, over the traditional discretization practice, are obtained in the computations of a two-dimensional enclosure using S4, S8, and S12 discrete ordinates, respectively.",

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N2 - A new discretization procedure and spatial differencing scheme for the discrete ordinates method are proposed and tested in this study. The new procedure achieves faster convergence without any acceleration schemes. The new spatial differencing scheme is no more expensive to use than the exponential scheme. Both the discretization procedure and the spatial differencing scheme are tested for absorbing, emitting, and anisotropically scattering media. The same accuracy is achieved with the new differencing scheme with 30% of the number of control volumes needed for the exponential scheme. With the new discretization procedure, savings in C.P.U. times of 77%, 52%, and 35%, over the traditional discretization practice, are obtained in the computations of a two-dimensional enclosure using S4, S8, and S12 discrete ordinates, respectively.

AB - A new discretization procedure and spatial differencing scheme for the discrete ordinates method are proposed and tested in this study. The new procedure achieves faster convergence without any acceleration schemes. The new spatial differencing scheme is no more expensive to use than the exponential scheme. Both the discretization procedure and the spatial differencing scheme are tested for absorbing, emitting, and anisotropically scattering media. The same accuracy is achieved with the new differencing scheme with 30% of the number of control volumes needed for the exponential scheme. With the new discretization procedure, savings in C.P.U. times of 77%, 52%, and 35%, over the traditional discretization practice, are obtained in the computations of a two-dimensional enclosure using S4, S8, and S12 discrete ordinates, respectively.

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New treatment of the radiation transport equation using the discrete ordinates method

Abstract

Publication series

Conference

ASJC Scopus subject areas

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