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Three-dimensional transport theory: An analytical solution for the internal beam searchlight problem, Ⅱ

机译:三维传输理论:内部光束探照灯问题的解析解,Ⅱ

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摘要

Multidimensional semi-analytical particle transport benchmarks to provide highly accurate standards of assessment are few and far between. Because of a well-established 1D theory for the analytical solution of the transport equation, it is sometimes possible however, to "bootstrap" ID solutions to give more comprehensive solution representations. Here, we propose the internal searchlight problem in a half space, designated ISLP/HS, as a multidimensional benchmark to be constructed from ID solutions. This is a variation of the usual SLP/HS where a source emits within the half space rather than striking its surface. Our primary interest is in the exiting intensity at the free surface established through a new Fn formulation. The benchmark features true 2/3D particle transport through integration of a point kernel to simulate 2/3D source emission. In this way, we accommodate a solid or hollow cylindrical source and a general line source in addition to the standard point, ring and disk sources featured in previous investigations.
机译:提供高度准确的评估标准的多维半分析粒子传输基准很少而且相差甚远。由于对于运输方程的解析解已经建立了良好的一维理论,因此有时可以“引导” ID解以给出更全面的解表示。在此,我们提出了一个半空间内部探照灯问题,称为ISLP / HS,作为要从ID解决方案构建的多维基准。这是常规SLP / HS的变体,其中源在半空间内发射而不是撞击其表面。我们的主要兴趣在于通过新的Fn公式建立的自由表面上的射出强度。该基准测试通过集成点内核来模拟2 / 3D源发射,实现了真正的2 / 3D粒子传输。这样,除了先前研究中的标准点,环和磁盘源外,我们还可以容纳实心或空心圆柱源和常规线源。

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  • 来源
    《Annals of nuclear energy》 |2009年第8期|1242-1255|共14页
  • 作者单位

    Department of Mechanical and Aerospace Engineering, University of Arizona, Tucson, AZ 85721-0119, USA;

    Applied Engineering Technology 2, Los Alamos National Laboratory, TSA-7, MS F609, Los Alamos, NM 87545, USA;

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