Development of a General Transfer Theory for Semi-Bounded Medium with Discrete Scatterers

具有离散散射体的半束缚介质通用传递理论的发展

• 批准号: 8714716
• 负责人: Ramat Shabahang
• 金额: --
• 依托单位: Embry-Riddle Aeronautical University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-08-15 至 1989-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8714716&HistoricalAwards=false
• 关键词: Development; General; Transfer; Theory; Semi

Often in engineering analysis compromises must be made, i. e. approximations are used since the full or complete problem does not lend itself to rigorous mathematical analysis. However, with the current explosive growth in computational power many of these formulations can be significantly improved with a view towards numerical solution rather than seeking an approximate analytical solution. A good example is the formulation of and the solution of the transport equation which occurs in such diverse application as remote sensing, communications, computer imagine representation, and radiative heat transfer. The General Transfer Equation will be derived based on Multiple Scattering Theory for waves propagating in a semi-bounded random medium containing randomly distributed discrete scatters with nonuniform background. Computational technique will be developed to solve this multiple scattering problem. Futhermore, comparisons will be made with existing limiting approximate solutions, e.g. Distorted Born Approximation and the classical Transfer Equation. The research will be carried out at an undergraduate institution by two faculty members from different fields of engineering; mechanical and civil engineering utilizing supercomputer resources at a NSF supercomputer center. This limited support of short duration will serve to stimulate more creative environment for cross-disciplinary engineering research to explore new computational methodologies.

在工程分析中，经常需要作出一些妥协. e. 使用近似，因为完整或完整的问题不 适合于严格的数学分析 但随着 当前计算能力的爆炸性增长， 可以显著改进配方， 数值解，而不是寻求近似的解析解 溶液 一个很好的例子是， 输运方程出现在这样的不同的应用， 传感、通信、计算机图像表示和辐射 换热 通用传递方程将根据多个 半有界随机介质中波的散射理论 包含随机分布的不均匀离散散射 背景 将开发计算技术来解决这个问题 多重散射问题 此外，将与 现有的极限近似解，例如扭曲玻恩 近似和经典传递方程。 这项研究将在一所本科院校进行， 来自不同工程领域的教师;机械和 利用美国国家科学基金会的超级计算机资源的土木工程 超级计算机中心 这种短期的有限支持将 促进跨学科的创造性环境 工程研究，探索新的计算方法。