High Order Numerical Methods for Problems in Electromagetics and Fluid Dynamics

电磁学和流体动力学问题的高阶数值方法

基本信息

批准号：
RGPIN-2016-05300
负责人：
Haslam, Michael
金额：
$ 1.09万
依托单位：
York University
依托单位国家：
加拿大
项目类别：
Discovery Grants Program - Individual
财政年份：
2020
资助国家：
加拿大
起止时间：
2020-01-01 至 2021-12-31
项目状态：
已结题

来源：
https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=709635
关键词：
Order Numerical Methods Problems Electromagetics

项目摘要

The proposal outlined in this text provides funding for my ongoing research program in computational methods applied to problems of engineering relevance in electromagnetics and fluid dynamics. In one project suitable for graduate student research, it is proposed to develop highly accurate computational methods to simulate the electromagnetic diffraction from conducting optical gratings. Indeed, the problem of simulating the electromagnetic response of material structures to an incident wave is of great importance in science and engineering. Applications of the theory exist in several fields of study, including solar energy research, optical instrument design, remote sensing, and communications theory, to name a few. Conducting materials are interesting in practice, since they are known to result in remarkably high absorption under particular circumstances in grating diffraction and hence may be useful in the design of modern solar cells. In another project, we propose to investigate the suitability of a toroidal fluid ring as basic a system to provide mechanical damping of the rotational oscillations of a satellite about an axis. It is proposed to study the flow and wall shear stresses which arise in a toroidal geometry when the toroid is subject to harmonic rotational motion about its principal axis of symmetry. The goal of the project is to determine the degree to which the viscous stresses imposed by the fluid on the wall of the toroid dissipate the mechanical energy associated with the oscillations. Interestingly this problem is related to another important problem in biomechanics: blood flow in curved tubes.

本文概述的提案为我正在进行的计算方法研究项目提供了资金，该研究项目应用于电磁学和流体动力学中的工程相关问题。在一个适合研究生研究的项目中，建议开发高精度计算方法来模拟传导光栅的电磁衍射。事实上，模拟材料结构对入射波的电磁响应的问题在科学和工程中非常重要。该理论的应用存在于多个研究领域，包括太阳能研究、光学仪器设计、遥感和通信理论等。导电材料在实践中很有趣，因为已知它们在光栅衍射的特定情况下会产生非常高的吸收，因此可用于现代太阳能电池的设计。在另一个项目中，我们建议调查环形流体环作为基本系统的适用性，为卫星绕轴的旋转振荡提供机械阻尼。这是建议研究当环形线圈受到谐波旋转运动时环形几何形状中出现的流动和壁剪切应力绕其主轴对称轴。该项目的目标是确定流体对物体施加的粘性应力的程度环形线圈的壁耗散与振荡相关的机械能。有趣的是，这个问题与另一个重要的问题有关生物力学问题：弯曲管中的血流。