Benchmark solutions of radiative heat transfer within nonhomogeneous participating media using the Monte Carlo and YIX methods
- Florida Inst. of Tech., Melbourne, FL (United States). Mechanical and Aerospace Engineering Programs
- NASA Langley Research Center, Hampton, VA (United States). Space Systems and Concepts Div.
The paper describes a number of test cases designed to provide verification of different aspects of two numerical methods, the YIX and Monte Carlo methods, for predicting radiative transfer in participating media, and to provide results which could serve as a set of benchmark solutions for comparison with future methods. The three-dimensional media evaluated in this study include a nonhomogeneous radiative property distribution, a hot emitting wall and anisotropic scattering. Results for the solution of surface flux and radiative flux divergence for the unit cube with cold walls produced by the two methods agree within 1%. Computational times are quite different for the two methods with the YIX being the faster of the two methods. The CPU times of both methods differ by the factor ranging from about 1,200 (case E1) to 40 (case E2). For the solution of emissive power in the same cube with one hot wall, agreement in results depended on the medium optical thickness. For instance, in some of the cases the YIX method suffered from ray effects which reduced the solution accuracy. In these cases the average deviations were approximately 6% in both surface flux and medium emissive power solutions. In optically thicker media the ray effects are not present and the YIX produces solutions on a finer grid to reduce numerical error. A unique blocking effect was identified for certain nonhomogeneous media evaluated in the course of this study. Although the media used in this study were created for numerical comparison purposes, with limited physical resemblance to real problems, these blocking effects can have real physical implications. They are presented here to demonstrate the complexity of a seemingly simple problem and to provide more data for comparison with future methods. The blocking effect is typically not observable in homogeneous media.
- OSTI ID:
- 455359
- Report Number(s):
- CONF-950828-; ISBN 0-7918-1714-8; TRN: IM9716%%208
- Resource Relation:
- Conference: 1995 National heat transfer conference, Portland, OR (United States), 5-9 Aug 1995; Other Information: PBD: 1995; Related Information: Is Part Of 1995 national heat transfer conference: Proceedings. Volume 13: Fundamentals of radiation; Radiative properties; HTD-Volume 315; Bayazitoglu, Y. [ed.] [Rice Univ., Houston, TX (United States)]; Kaminski, D. [ed.] [Rensselaer Polytechnic Inst., Troy, NY (United States)]; Jones, P.D. [ed.] [Auburn Univ., AL (United States)]; PB: 94 p.
- Country of Publication:
- United States
- Language:
- English
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