电子学报 ›› 2021, Vol. 49 ›› Issue (1): 58-63.DOI: 10.12263/DZXB.20190945

所属专题: 天线设计与仿真

• 学术论文 • 上一篇    下一篇

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

王卫杰1, 胡少亮1, 郑宇腾1, 赵振国1, 周海京1,2   

  1. 1. 中物院高性能数值模拟软件中心, 北京 100088;
    2. 北京应用物理与计算数学研究所一室, 北京 100088
  • 收稿日期:2019-08-19 修回日期:2020-04-24 出版日期:2021-01-25 发布日期:2021-01-25
  • 作者简介:王卫杰 男,1987年11月出生于河南省开封市.现为中物院高性能数值模拟软件中心副研究员.主要研究方向为计算电磁学及多物理大规模并行算法.E-mail:wang_weijie@iapcm.ac.cn
  • 基金资助:
    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)

A Parallel Preconditioned Finite Element Method and Its Applications in System-in-Package Electromagnetic Simulations

WANG Wei-jie1, HU Shao-liang1, ZHENG Yu-teng1, ZHAO Zhen-guo1, ZHOU Hai-jing1,2   

  1. 1. Software Center for High Performance Numerical Simulation, CAEP, Beijing 100088, China;
    2. The First Department, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2019-08-19 Revised:2020-04-24 Online:2021-01-25 Published:2021-01-25
  • Supported by:
     

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.

 

关键词: 有限元方法, 预处理, 并行计算, 系统级封装, 信号串扰

Abstract: 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.

Key words: finite element method, preconditioned method, parallel computing, system-in-package, cross talk

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