Local reduced subspaces of subchannel-inspired subdomains

IF 2.7 3区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY International Journal for Numerical Methods in Engineering Pub Date : 2024-06-19 DOI:10.1002/nme.7552
Shenhui Ruan, Jorge Yanez, Andreas G. Class
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Abstract

In this article, we study an update of the traditional subchannel approximation utilizing local reduced order bases. Through employing the symmetries and periodicity of a 7-pin bundle, the global domain is decomposed into numerous repeating subdomains following several dividing strategies. We locally study the reduced basis generated by proper orthogonal decomposition. We analyze the similarities, assessing the truncation error and the distance between the linear subspaces spanned by the reduced bases. We focus on the first stage of building a reduced order model, the generation of the reduced subspace, which is usually not regarded in detail in our application problem. Our assessment related to flow blockage in liquid metal-cooled nuclear reactors, a postulated high-risk accident that results in potential fuel damage.

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子信道启发子域的局部缩小子空间
在本文中,我们研究了利用局部降阶基对传统子信道近似的更新。通过利用 7 针束的对称性和周期性,我们采用多种分割策略将全局域分解为多个重复子域。我们对适当正交分解产生的降阶基进行了局部研究。我们分析了相似性,评估了截断误差和还原基所跨线性子空间之间的距离。我们将重点放在建立还原阶模型的第一阶段,即生成还原子空间,这在我们的应用问题中通常没有被详细考虑。我们的评估与液态金属冷却核反应堆中的流动阻塞有关,这是一种假定的高风险事故,会导致潜在的燃料损坏。
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来源期刊
CiteScore
5.70
自引率
6.90%
发文量
276
审稿时长
5.3 months
期刊介绍: The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems. The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.
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