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首页> 外文期刊>Jorunal of computational and theoretical transport >Evaluation of Ray Effects in Linear Transport Problems
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Evaluation of Ray Effects in Linear Transport Problems

机译：线性运输问题中的射线效应评估

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摘要

The adoption of a angular discretization scheme in the solution of the linear transport equation is introducing a wide range of distortions associated with the propagation of particles along discrete directions, usually called ray effects. These numerical artifacts and the consequent distortion of the physical description are observed in multidimensional configurations in steady-state and also in the one-dimensional case when the time-dependence is considered. Through the analysis of simplified configurations, this work aims at a characterization of the ray effect phenomenon. Steady-state and time-dependent problems are solved analytically and then compared to the results obtained by applying discrete ordinates, clearly isolating ray effects from other numerical effects and allowing the quantification of the physical distortion. The analysis of the transport kernel in the Fourier-transformed space permits the identification of a proper integral parameter, called ray effect indicator, to measure the distortion introduced in the transport model by the angular discretization. The efficiency of alternative schemes to the standard S_N approach for the reduction of ray effects is also discussed.
机译：在线性输运方程的解中采用角度离散化方案引入了与粒子沿离散方向传播相关的各种畸变，通常称为射线效应。在稳态下的多维配置中，以及在考虑时间依赖性的一维情况下，都可以观察到这些数字假象以及随之而来的物理描述失真。通过分析简化的配置，这项工作旨在表征射线效应现象。解析稳态和时间相关的问题，然后将其与通过应用离散纵坐标，将射线效果与其他数值效果明确隔离并允许对物理失真进行量化而获得的结果进行比较。通过对傅立叶变换空间中的传输核进行分析，可以确定适当的积分参数（称为射线效果指示器），以测量由角度离散化在传输模型中引入的失真。还讨论了标准S_N方法用于减少射线效应的替代方案的效率。

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