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首页> 外文期刊>Annals of nuclear energy >A fully analytic space-time depletion benchmark for fixed-source and eigenvalue calculations and its application to Monte Carlo simulation
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A fully analytic space-time depletion benchmark for fixed-source and eigenvalue calculations and its application to Monte Carlo simulation

机译：用于固定源和特征值计算的完全分析的时空消耗基准及其在蒙特卡洛模拟中的应用

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Formal analysis of the convergence and stability of coupled neutron transport/depletion calculations is difficult due to the complicated nature of the nonlinear system of equations that must be solved. In this paper, we present a new benchmark problem for coupled neutron transport/depletion calculations along with its fully analytic solution. The benchmark problem - which we call the "Candlestick benchmark" because it models a progressive burnup from one end of a slab to another - is straightforward to implement and can be used to quantify the accuracy and stability of coupled transport/depletion calculations. Descriptions and solutions are provided for both a fixed-source and eigenvalue version of the benchmark. The Candlestick benchmark is a first-of-its-kind analytic solution to a nonlinear spatial depletion problem, and it is useful for the purpose of validating the solution methods used by reactor depletion solvers. As a demonstration of the usefulness of the Candlestick benchmark, we have used it to assess some of the convergence behaviors of Monte Carlo depletion calculations, including the effects of spatial discretization, temporal discretization, and stochastic error on the results of the calculation. (C) 2018 Elsevier Ltd. All rights reserved.
机译：由于必须解决的非线性方程组的复杂性质，很难对耦合的中子输运/耗竭计算的收敛性和稳定性进行形式分析。在本文中，我们为耦合中子输运/耗竭计算提出了一个新的基准问题及其完整的解析解决方案。基准问题-之所以称为“烛台基准”，是因为它模拟了从板的一端到另一端的渐进式燃耗-易于实现，可用于量化运输/耗竭计算耦合的准确性和稳定性。为基准的固定源和特征值版本提供了描述和解决方案。 Candlestick基准是非线性空间耗竭问题的首个解析解决方案，它对于验证反应堆耗竭求解器使用的求解方法很有用。为了证明Candlestick基准的有用性，我们将其用于评估Monte Carlo耗竭计算的某些收敛行为，包括空间离散化，时间离散化和随机误差对计算结果的影响。 （C）2018 Elsevier Ltd.保留所有权利。

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