Ray effects through two- and three-dimensional isotropically scattering, participating media are investigated using four ordinates methods: discrete ordinates, using a classical quadrature scheme and a refined azimuthal discretization around the azimuthal angle endpoints; and finite volume, with and without refined azimuthal discretization around the azimuthal angle endpoints. The discrete ordinates method with refined azimuthal angular discretization consists of a coupling of Gaussian quadrature for polar discretization and control azimuthal angle discretization splitting into a quadruple range. For both the discrete ordinates method with refined azimuthal angular discretization and the finite volume method with refined azimuthal angular discretization, the azimuthal direction is discretized such that azimuthal grid points are close to the azimuthal angle endpoints. Radiative heat transfer through isotropically scattering, participating and optically thin media within enclosures considering uniform and strip diffuse boundary conditions is considered. Excellent agreement between the discrete ordinates method/ finite volume method with refined azimuthal angular discretization and the benchmark literature results is achieved for high-order azimuthal discretization, whereas finer high-order azimuthal discretization is required for the finite volume method. Ray effects are eliminated for combinations of higher-order azimuthal discretization and refined azimuthal discretization around the azimuthal angle endpoints. It has also been found that, in order to eliminate ray effects, the discrete ordinates and finite volume methods’ quadrature sets’ order must be increased as the medium’s aspect ratio decreases or when the size of the diffuse strip of incident radiation on one of the medium’s surfaces is decreased.


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    Titel :

    Ray Effects Elimination in Discrete Ordinates and Finite Volume Methods


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    2014-12-10


    Format / Umfang :

    13 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch