A rigorous method for multi-scale coupling of pebble bed and fuel pebble in high temperature gas-cooled reactor

IF 3.2 3区工程技术 Q1 NUCLEAR SCIENCE & TECHNOLOGY

Progress in Nuclear Energy Pub Date : 2025-09-27 DOI:10.1016/j.pnucene.2025.106055

Haojie Zhang, Ding She, Lei Shi

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Abstract

The thermal-hydraulic design of high temperature gas-cooled reactors (HTGRs) involves a multi-scale coupling problem between the solid temperature of macroscopic pebble bed and the microscopic fuel pebble temperature. In the traditional TINTE code, the Thin Shell method is employed to address this issue, but it fails to ensure energy conservation across scales. In this paper, rigorous formulations of the temperature and heat capacity relationships between the two scales are derived from an energy conservation perspective. Based on this, an Effective Heat Capacity (EHC) method is proposed. In the EHC method, the macroscopic heat capacity is redefined to ensure consistent internal energy variations between the scales. Therefore, the EHC method can significantly reduce the number of iterations and improve the computational efficiency. Based on the DAYU3D code, some numerical tests have been conducted to demonstrate the advantages of the EHC method. The results show that the EHC approach outperforms the Thin Shell method in terms of convergence and efficiency, with a reduction in computational time of up to 35 %. This study offers a theoretical foundation for optimizing multi-scale computational methods in thermal-hydraulic analysis software for HTGRs.

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高温气冷堆卵石床与燃料卵石多尺度耦合的严谨方法

高温气冷堆热工设计涉及到宏观球床固体温度与微观燃料球床温度之间的多尺度耦合问题。在传统的TINTE代码中，采用Thin Shell方法来解决这个问题，但它不能保证跨尺度的节能。本文从能量守恒的角度推导了两个尺度之间的温度和热容关系的严格公式。在此基础上，提出了一种有效热容（EHC）方法。在EHC方法中，重新定义了宏观热容，以确保尺度之间的内能变化一致。因此，EHC方法可以显著减少迭代次数，提高计算效率。基于DAYU3D程序，进行了数值试验，验证了EHC方法的优越性。结果表明，EHC方法在收敛性和效率方面优于薄壳方法，计算时间减少高达35%。该研究为htgr热液分析软件的多尺度计算方法优化提供了理论基础。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Progress in Nuclear Energy 工程技术-核科学技术

CiteScore

5.30

自引率

14.80%

发文量

331

审稿时长

3.5 months

期刊介绍： Progress in Nuclear Energy is an international review journal covering all aspects of nuclear science and engineering. In keeping with the maturity of nuclear power, articles on safety, siting and environmental problems are encouraged, as are those associated with economics and fuel management. However, basic physics and engineering will remain an important aspect of the editorial policy. Articles published are either of a review nature or present new material in more depth. They are aimed at researchers and technically-oriented managers working in the nuclear energy field. Please note the following: 1) PNE seeks high quality research papers which are medium to long in length. Short research papers should be submitted to the journal Annals in Nuclear Energy. 2) PNE reserves the right to reject papers which are based solely on routine application of computer codes used to produce reactor designs or explain existing reactor phenomena. Such papers, although worthy, are best left as laboratory reports whereas Progress in Nuclear Energy seeks papers of originality, which are archival in nature, in the fields of mathematical and experimental nuclear technology, including fission, fusion (blanket physics, radiation damage), safety, materials aspects, economics, etc. 3) Review papers, which may occasionally be invited, are particularly sought by the journal in these fields.