Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering
نویسندگان
چکیده
منابع مشابه
Dependence of Numerical Smearing and Ray Effect in Discrete- Ordinates Method
Solutions of the integro-differential equation of radiation transfer via numerical methods were well known to suffer from two distinct shortcomings: (1) numerical smearing error due to spatial domain discretization, and (2) ray effect error due to angular discretization. In this study, it is shown that both error types exhibit dependence on both spatial and angular discretization. Proportionali...
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The S-N discrete ordinates (DO) method is developed for the first time to solve transient radiative heat transfer in a two-dimensional rectangular enclosure with absorbing, emitting, and anisotropically scattering medium subject to diffuse and/or collimated laser irradiation. The transient DO method is used to solve several example problems and compared with the existing results and the Monte C...
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The stationary monochromatic radiative transfer equation (RTE) is a partial differential transport equation stated on a five-dimensional phase space, the Cartesian product of physical and angular domain. We solve the RTE with a Galerkin FEM in physical space and collocation in angle, corresponding to a discrete ordinates method (DOM). To reduce the complexity of the problem and to avoid the “cu...
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The SN quadrature set for the discrete-ordinates method is limited in overall discrete direction number in order to avoid physically unrealistic negative directional weight factors. Such a limitation can adversely impact radiative transfer predictions. Directional discretization results in errors due to ray effect, as well as angular false scattering error due to distortion of the scattering ph...
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The Discrete Ordinates Method (DOM) for solving transient radiation transfer equation in cylindrical coordinates is developed for radiation heat transfer in participating turbid media in pico-scale time domain. The application problems addressed here are laser tissue welding and soldering. The novelty of this study lies with the use of ultrashort laser pulses as the irradiation source. The char...
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ژورنال
عنوان ژورنال: Nuclear Science and Engineering
سال: 2020
ISSN: 0029-5639,1943-748X
DOI: 10.1080/00295639.2020.1730665