...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Annals of nuclear energy >Iterative schemes for obtaining dominant alpha-modes of the neutron diffusion equation
【24h】

Iterative schemes for obtaining dominant alpha-modes of the neutron diffusion equation

机译：获得中子扩散方程的主导α模的迭代方案

获取原文
获取原文并翻译 | 示例
   

获取外文期刊封面封底 >>

       
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Two new methods of obtaining dominant prompt alpha-modes (sometimes referred to as time-eigen-functions) of the multigroup neutron diffusion equation are discussed. In the first of these, we initially compute the dominant K-eigenfunctions and K-eigenvalues (denoted by etcλ_,λ2,λ3...etc.;λ_1 being equal to the K_(eff)) for the given nuclear reactor model, by existing method based on sub-space iteration (SSI) which is an improved version of power iteration method. Subsequently, a uniformly distributed (positive or negative) 1/v absorber of sufficient concentration is added so as to make a particular eigenvalue λ_1 equal to unity. This gives ith alpha-mode. This procedure is repeated to find all the required alpha-modes. In the second method, we solve the alpha-eigenvalue problem directly by SSI method. This is clearly possible for a sub-critical reactor for which the inverse of the dominant alpha-eigenvalues are also the largest in magnitude as required by the SSI method. Here, the procedure is made applicable even to a supercritical reactor by making the reactor model sub-critical by the addition of a 1 /v absorber. Results of these calculations for a 3-D two group PHWR test-case are given. These results are validated against the results as obtained by a completely different approach based on Orthomin(l) algorithm published earlier. The direct method based on the sub-space iteration strategy is found to be a simple and reliable method for obtaining any number of alpha-modes. Also comments have been made on the relationship between fundamental α and k values.
机译：讨论了获得多组中子扩散方程的主要瞬态α模态（有时称为时间本征函数）的两种新方法。首先，对于给定的核反应堆模型，我们首先计算主导的K特征函数和K特征值（以etcλ_，λ2，λ3...等表示；λ_1等于K_（eff）），基于子空间迭代（SSI）的现有方法，它是功率迭代方法的改进版本。随后，添加足够浓度的均匀分布的（正或负）1 / v吸收剂，以使特定特征值λ_1等于1。这给出第i个alpha模式。重复此过程以找到所有必需的alpha模式。在第二种方法中，我们直接通过SSI方法解决了alpha特征值问题。对于亚临界反应堆，这显然是可能的，对于该反应堆，主要的α特征值的倒数也达到SSI方法要求的最大。在此，通过添加1 / v吸收剂使反应器模型成为亚临界，该方法甚至适用于超临界反应器。给出了3-D两组PHWR测试用例的这些计算结果。这些结果已针对基于先前发布的Orthomin（l）算法通过完全不同的方法获得的结果进行了验证。发现基于子空间迭代策略的直接方法是用于获取任意数量的alpha模式的简单可靠的方法。还对基本α和k值之间的关系进行了评论。

著录项

  • 来源
    《Annals of nuclear energy》 |2009年第8期|1086-1092|共7页
  • 作者

    K.P. Singh; R.S. Modak; S.B. Degweker; Kanchhi Singh;

  • 作者单位

    Research Reactor Services Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085, India;

    Theoretical Physics Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085, India;

    Theoretical Physics Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085, India;

    Research Reactor Services Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085, India;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号