Ray effect mitigation for the discrete ordinates method through quadrature rotation
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 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 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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A discussion of a modern version of the discrete-ordinates method is given, and in order to demonstrate well some aspects of the method, a very basic transport model is used to solve the elementary critical problem for a bare slab and for a bare cylinder. In addition to numerical results for these basic applications, various extensions of the method made to more challenging problems are noted.
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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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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2019
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2019.01.016