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http://dx.doi.org/10.3795/KSME-B.2003.27.6.796

Error and Correction Schemes of Control Volume Radiative Energy with the Discrete Ordinates Interpolation Method  

Cha, Ho-Jin (한국과학기술원 기계공학과)
Song, Tae-Ho (한국과학기술원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.27, no.6, 2003 , pp. 796-803 More about this Journal
Abstract
The discrete ordinates interpolation method (DOIM) has shown good accuracy and versatile applicability for the radiation $problems^{(1,2)}$. The DOIM is a nonconservative method in that the intensity and temperature are computed only at grid points without considering control volumes. However, when the DOIM is used together with a finite volume algorithm such as $SIMPLER^{(3)}$, intensities at the control surfaces need to be calculated. For this reason, a 'quadratic' and a 'decoration' schemes are proposed and examined. They are applied to two kinds of radiation problem in one-dimensional geometries. In one problem, the intensity and temperature are calculated while the radiative heat source is given, and in the other, the intensity and the radiative heat source are computed with a given temperature field. The quadratic and the decoration schemes show very successful results. The quadratic scheme gives especially accurate results so that further decoration may not be needed. It is recommended that the quadratic and the decoration schemes may be used together, or, one of them may be applied for control volume radiative energy balance.
Keywords
DOIM; Control Volume Energy; Decoration Scheme; Quadratic Scheme;
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