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首页> 外文期刊>Annals of nuclear energy >Goal-based angular adaptivity applied to the spherical harmonics discretisation of the neutral particle transport equation
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Goal-based angular adaptivity applied to the spherical harmonics discretisation of the neutral particle transport equation

机译：基于目标的角度适应性应用于中性粒子输运方程的球谐离散

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摘要

A variable order spherical harmonics scheme has been described and employed for the solution of the neutral particle transport equation. The scheme is specifically described with application within the inner-element sub-grid scale finite element spatial discretisation. The angular resolution is variable across both the spatial and energy dimensions. That is, the order of the spherical harmonic expansion may differ at each node of the mesh for each energy group. The variable order scheme has been used to develop adaptive methods for the angular resolution of the particle transport phase-space. Two types of adaptive method have been developed and applied to examples. The first is regular adaptivity, in which the error in the solution over the entire domain is minimised. The second is goal-based adaptivity, in which the error in a specified functional is minimised. The methods were applied to fixed source and eigenvalue examples. Both methods demonstrate an improved accuracy for a given number of degrees of freedom in the angular discretisation.
机译：已经描述了可变阶球谐方案，并将其用于中性粒子传输方程的求解。该方案在内部元素子网格比例有限元空间离散化中的应用进行了具体描述。角分辨率在空间和能量维度上都是可变的。即，对于每个能量组，球谐函数扩展的阶数在网格的每个节点处可以不同。可变级方案已被用于开发用于粒子传输相空间的角分辨率的自适应方法。已经开发出两种类型的自适应方法并将其应用于示例。首先是常规适应性，其中解决方案在整个域中的误差被最小化。第二种是基于目标的适应性，其中将指定功能的错误最小化。将该方法应用于固定源和特征值示例。对于给定的角度离散度中的多个自由度，这两种方法都显示出更高的精度。

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  • 来源
    《Annals of nuclear energy》 |2014年第9期|60-80|共21页
  • 作者

    Mark A. Goffin; Andrew G. Buchan; Anca C. Belme; Christopher C. Pain; Matthew D. Eaton; Paul N. Smith; Richard P. Smedley-Stevenson;

  • 作者单位

    Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, UK;

    Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, UK;

    University Pierre and Marie Curie, IJLRDA, 4 place Jussieu, 75015 Paris, France;

    Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, UK;

    Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, UK;

    ANSWERS Software Service, AMEC, Kimmeridge House, Dorset Green Technology Park, Winfrith Newburgh, Dorchester, Dorset DT2 8ZB, UK;

    AWE, Aldermaston, Reading RG7 4PR, UK;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Neutron transport; Adaptivity; Goal-based adaptivity; A posteriori error analysis; Spherical harmonics;

    机译：中子运输;适应性;基于目标的适应性;后验误差分析;球谐函数;

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