系统级封装应用中时谐Maxwell方程大规模计算的求解算法:现状与挑战  

Algorithms in Linear Solver for Large-scale Time-harmonic Maxwell’s Equations in SiP Applications:State-of-the-art and Challenges

作　　者：胡少亮 徐小文[1,2] 郑宇腾 赵振国[1,2] 王卫杰[1,2] 徐然 安恒斌 莫则尧[1,2] HU Shaoliang;XU Xiaowen;ZHENG Yuteng;ZHAO Zhenguo;WANG Weijie;XURan;AN Hengbin;MO Zeyao(CAEP Software Center for High Performance Numerical Simulation,Beijing 100088,China;Institute of Applied Physics and Computational Mathematics,Beijing 100094,China;CAEP Institute of Computer Application Technology,Mianyang,Sichuan 610094,China)

机构地区：[1]中国工程物理研究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计算物理国家重点实验室,北京100094 [3]中国工程物理研究院计算机应用研究所,四川绵阳610094

出　　处：《计算物理》2021年第2期131-145,共15页Chinese Journal of Computational Physics

基　　金：重点研发计划项目(2017YFB0202103);科学挑战专题项目(TZZT2016002)资助。

摘　　要：系统级封装(SiP)是当前电子学系统设计的主流技术途径,数值模拟是进行系统级封装(SiP)设计的主要手段。由于系统级封装应用特有的复杂性,现有的求解时谐Maxwell方程离散系统的算法面临很大的挑战,成为制约该类应用大规模数值模拟效率的瓶颈。本文综述系统级封装应用时谐Maxwell方程解法器求解算法,针对典型实际模型,评估现有算法的现状和面临的挑战,分析应用特征对算法计算能力的影响,并在现有算法的基础上提出一种可行的预条件算法策略。System in package(SiP)is mainstream technology in the design of electronics system.Numerical simulation plays an important role in SiP applications.However,due to the specific complexity of SiP applications,existing algorithms for linear systems arising from time-harmonic Maxwell’s equations are faced with great challenges,which become a bottleneck restricting efficiency of large-scale numerical simulations.In this paper,we review algorithms for time-harmonic Maxwell’s equations in SiP applications.Based on capability assessment of existing algorithms for realistic SiP models,we propose a preconditioning strategy,and show its feasibility and efficiency.Furthermore,we analyze impact of such applications on performance behavior of current algorithms and the challenges we faced with.

关 键 词：系统级封装(SiP) 数值模拟 时谐Maxwell方程 线性解法器 预条件算法 

分 类 号：O246[理学—计算数学]