arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~

基于迭代区域分解方法的高维与降阶建模相结合的方法

Combined High-Dimensional and Reduced-Order Modeling Based on an Iterative Domain Decomposition Method

Taiji Saito, Tomoshi Miyamura, Yasunori Yusa

arXiv 2608.25567首次发表:更新:

发表机构

Nihon University(日本大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究提出一种结合高维与降阶模型的结构分析方法,基于迭代区域分解方法实现,采用对角预条件子提升收敛性,通过混合MPI-CUDA并行实现,可用于核电站模型的静力学结构分析。

AI 中文摘要

本文开发了一种用于结构分析的方法,其中分析域的部分区域采用降阶模型(ROM)建模,剩余部分采用高维模型(HDM)建模。多个ROM与HDM基于具有任意数量非重叠子域的迭代区域分解方法(DDM)相结合,推导了该迭代DDM的对角预条件子。该方法基于现有基于DDM的分析代码框架实现,ROM在GPU上实现,还提出了ROM的快照生成方法。采用该结合了多个ROM与HDM的多子域模型对核电站模型进行静力学结构分析,通过混合MPI-CUDA实现并行执行分析,预条件子改善了迭代DDM的收敛特性。

英文摘要

A method is developed for structural analysis in which parts of an analysis domain are modeled by reduced-order models (ROMs) and the remaining part is modeled by a high-dimensional model (HDM). The multiple ROMs and HDM are combined based on an iterative domain decomposition method (DDM) with an arbitrary number of non-overlapping subdomains. A diagonal preconditioner is derived for the iterative DDM. The method is implemented based on a framework of the existing DDM-based analysis code. The ROM is implemented on GPU. Snapshot generation methods for the ROM are also proposed. Static structural analyses of nuclear power plant models are conducted using the combined multiple ROMs and HDM with multiple-subdomains model. The analyses are performed in parallel by the hybrid MPI-CUDA implementation. The convergence property of the iterative DDM is improved by the preconditioner.

论文原文

arXiv 摘要页 · PDF 原文 · HTML 原文

↑