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Tritium Dispersion Around the Angra Nuclear Power Plant: Boundary Simplification by Diffeomorph Conformal Transformations
Journal of Computational and Theoretical Transport ( IF 0.7 ) Pub Date : 2018-11-11 , DOI: 10.1080/23324309.2018.1508475
André Meneghetti 1 , Bardo Ernst Josef Bodmann 2 , Marco Tullio Menna Barreto de Vilhena 2
Affiliation  

In this contribution, we present an efficient tool to attack a class of non-plane-parallel problems. Generally, curvilinear contours undergo restrictive approximations and often complex domains are simplified by a plane parallel problem. In our work, we have selected tools to overcome this challenge. Inspired by differential geometry theory, we propose to modify the original coordinate system. More precisely, we propose to change the usual Cartesian coordinate system by a curvilinear coordinate system that adapts to the physical domain of interest. The new coordinate system is defined from the physical domain. The change can be implemented in several problems and once the coordinate system is changed, the problem is solved as if it were a domain bounded by parallel planes. The change of coordinate system is done through a conformal diffeomorph transformation. To exemplify our methodology, we present progress on research concerning dispersion of tritium around the Angra Nuclear Power Plant, localized in the city of Angra dos Reis, Rio de Janeiro, Brazil. We present a simulation of tritium dispersion specifically in the area where the Angra II Nuclear Power Plant is located and where the relief is characterized by a considerable complexity.



中文翻译:

gra在安格拉核电站周围的弥散:通过二形共形共形变换简化边界

在此贡献中,我们提出了一种有效的工具来攻击一类非平面平行问题。通常,曲线轮廓经历限制性近似,并且通常通过平面平行问题简化复杂的区域。在我们的工作中,我们选择了一些工具来克服这一挑战。受微分几何理论的启发,我们建议修改原始坐标系。更准确地说,我们建议通过适合于所关注物理域的曲线坐标系来更改通常的笛卡尔坐标系。新坐标系是从物理域定义的。可以在几个问题中实现此更改,并且一旦更改了坐标系,就可以解决该问题,就好像它是一个由平行平面界定的域一样。坐标系统的变化是通过共形微形变换完成的。为了举例说明我们的方法,我们介绍了有关dispersion扩散在安哥拉核电厂周围分布的研究进展,该电厂位于巴西里约热内卢的安格拉杜斯雷斯。我们将对dispersion扩散进行仿真,特别是在Angra II核电站所在的地区以及浮雕具有相当复杂性的地区。

更新日期:2018-11-11
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