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并行预处理有限元方法及其在系统级封装结构电磁模拟中的应用 被引量:3

A Parallel Preconditioned Finite Element Method and Its Applications in System-in-Package Electromagnetic Simulations
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摘要 针对系统级封装结构的电磁兼容、信号完整性分析等应用,由于结构的复杂、多尺度和多材料的特性,其大规模电磁问题模拟一直难以实现.本文中,主要展示了基于并行支撑框架JAUMIN研发的高性能电磁计算程序JEMS-CDS及其在系统级封装结构电磁仿真中采用的高效算法.针对系统级封装结构电磁仿真,我们构建了两种预处理技术:区域分解方法与正定矩阵预处理方法.数值模拟结果显示JEMS-CDS程序在百CPU核并行规模上能够实现了近亿未知量的快速迭代求解.针对某天线阵列和射频系统级封装结构,利用JEMS-CDS程序在国产并行机上完成了电磁场并行数值模拟,获得了电磁场的高分辨率结果,支持了电磁兼容性分析、信号完整性分析等应用. In the electromagnetic compatibility analysis and signal integrity analysis,it is difficult to do full-wave electromagnetic simulation of system-in-package(SiP)due to its complex,multi-scale and multi-material characteristics.Here,we present a high-performance program JEMS-CDS developed on parallel infrastructure JAUMIN and its high-efficiency algorithms in SiP electromagnetic simulations.A positive definite matrix is constructed by analyzing the FEM matrix built for SiP simulation.Numerical results show that better convergence performance than traditional ones can be achieved,as well as a high parallel efficiency when scaling to hundreds of CPU cores with nearly one hundred millions unknowns.Finally,a practical product is simulated to acquire the high-resolution distribution of electromagnetic,supporting the analysis of electromagnetic compatibility and signal integrity.
作者 王卫杰 胡少亮 郑宇腾 赵振国 周海京 WANG Wei-jie;HU Shao-liang;ZHENG Yu-teng;ZHAO Zhen-guo;ZHOU Hai-jing(Software Center for High Performance Numerical Simulation,CAEP,Beijing 100088,China;The First Department,Institute of Applied Physics and Computational Mathematics,Beijing 100088,China)
出处 《电子学报》 EI CAS CSCD 北大核心 2021年第1期58-63,共6页 Acta Electronica Sinica
基金 国家自然科学基金(No.12001053) 中物院创新发展基金(No.CX2019034) 国防基础科学挑战计划(No.TZ2018002)。
关键词 有限元方法 预处理 并行计算 系统级封装 信号串扰 finite element method preconditioned method parallel computing system-in-package cross talk
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