An evaluation of three spatial differencing schemes for the discrete ordinates method in participating mediaThree popular spatial differencing schemes for the discrete ordinates method are examined for two-dimensional Cartesian coordinates system. These are a positive, the step, and the diamond schemes. Contrary to the common belief that negative intensities will not occur when fine spatial discretization is used with the diamond scheme, under certain conditions, the diamond scheme will produce negative intensities irrespective of the number of control volums employed. The positive scheme can produce physically unrealistic trends. The diamond and positive schemes are also capable of producing physically unrealistic overshoots. In absorbing-emitting or absorbing-emitting-scattering media, grid refinement can result in negative intensities when the diamond or positive scheme is used.
Document ID
19930040234
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Chai, John C. (Minnesota Univ. Minneapolis, United States)
Lee, Haeok S. (NASA Lewis Research Center Cleveland, OH, United States)
Patankar, Suhas V. (Minnesota Univ. Minneapolis, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Subject Category
Numerical Analysis
Report/Patent Number
AIAA PAPER 93-0140
Meeting Information
Meeting: AIAA, Aerospace Sciences Meeting and Exhibit