Collaborative Research: Parallel Hybrid Differential and Integral Equation Based Solvers for Time Domain Electromagnetic Analysis with Application to High-Speed Circuits

合作研究：基于并行混合微分方程和积分方程的求解器，用于时域电磁分析及其在高速电路中的应用

• 批准号: 0306512
• 负责人: Srinivas Aluru
• 金额: $ 16.28万
• 依托单位: Iowa State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-08-01 至 2007-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0306512&HistoricalAwards=false
• 关键词: Collaborative; Research; Parallel; Hybrid; Differential

The goal of this project is to develop fast and accurate physics-based parallel transient electromagnetic solvers that are geared towards applications to high-speed circuits. This is being achieved via a combination of high performance parallel algorithms, novel advances in numerical schemes that permit hierarchical computation and finally, the hybridization of different numerical techniques. More specifically, the following objectives are being pursued: (i) development of novel numerical schemes that reduce the overall computational work and the corresponding parallel schemes; (ii) development of parallel and numerical methods for analyzing transient fields in diffusive and dispersive material media; (iii) development of parallel methodologies for integrating differential equation and integral equation based schemes such that one can reap the advantages of both; (iv) and finally, integrating the EM solver developed in the last item into the circuit simulation tool SPICE, to enable fullwave EM simulation of circuits. The principal impact of the proposed research is the development of high performance transient electromagnetic analysis tools that are applicable to a variety of design and analysis problems. The techniques developed are being used to analyze issues in high-speed circuits including on-chip signal integrity, non-linear devices, cross-talk, reflections, and non-linear terminations.Electromagnetic (EM) phenomena constitute the physical underpinnings of applications ranging from electrical to electronic to communication to computer technologies and are completely described by Maxwell's equations. Fast and accurate physics-based simulation tools offer a second modality of investigation into electromagnetic phenomena, and are rapidly becoming indispensable in civilian and military R & D settings. As a part of this endeavor, researchers at Michigan State University and Iowa State University are collaborating on developing an arsenal of fast and accurate simulation tools that permit on-the-fly optimization that can be used for rapid design prototyping of electromagnetic devices. To this end, novel numerical methods for transient electromagnetic analysis and algorithms to parallelize these are being developed. The techniques developed are being applied to the design and analysis of electromagnetic devices.

该项目的目标是开发快速，准确的基于物理的并行瞬变电磁求解器，面向高速电路的应用。这是通过结合高性能并行算法、允许分层计算的数值方案的新进展以及不同数值技术的杂交来实现的。更具体地说，正在追求下列目标：(i)发展减少总体计算工作的新的数值方案和相应的并行方案；（ii）发展了用于分析扩散和色散介质中瞬态场的并行和数值方法；（iii）发展微分方程和基于积分方程的积分方案的并行方法，使人们可以获得两者的优势；（iv）最后，将上一项开发的电磁求解器集成到电路仿真工具SPICE中，实现电路的全波电磁仿真。提出的研究的主要影响是开发高性能的瞬变电磁分析工具，适用于各种设计和分析问题。所开发的技术被用于分析高速电路中的问题，包括片上信号完整性、非线性器件、串扰、反射和非线性终端。电磁（EM）现象构成了从电气到电子，从通信到计算机技术等应用的物理基础，并完全由麦克斯韦方程描述。快速、准确的基于物理的仿真工具为研究电磁现象提供了第二种方式，并迅速成为民用和军用研发环境中不可或缺的工具。作为这项工作的一部分，密歇根州立大学和爱荷华州立大学的研究人员正在合作开发一系列快速准确的仿真工具，这些工具可以用于电磁设备的快速设计原型。为此，人们正在开发新的瞬变电磁分析数值方法和并行化算法。所开发的技术正应用于电磁装置的设计和分析。