U.S.-Brazil Cooperative Research: Analytical and Computational Methods Related to the Linearized Boltzmann Equation

美国-巴西合作研究：与线性玻尔兹曼方程相关的分析和计算方法

• 批准号: 0335133
• 负责人: Charles Siewert
• 金额: --
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-01-15 至 2008-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0335133&HistoricalAwards=false
• 关键词: U.S.; Brazil; Cooperative; Research; Analytical

This U.S.-Brazil award will support Dr. Charles E. Siewert, North Carolina State University in a cooperative research effort with Dr. Liliane B. Barichello at Universidade Federal do Rio Grande do Sul in Porto Alegre, Brazil. Their project concerns the general area of rarefied-gas dynamics, focused on solving the Poiseuille-flow problem, the thermal-creep flow problem, and the Couette-flow problem as defined by the linearized Boltzmann equation for rigid-sphere interactions and the Cercignani-Lampis boundary condition applied at the two surfaces that contain flow. The work will be based on analytical discrete ordinates method and the use of a Legendre expansion in terms of the speed variable. This is an important project in which the PIs consider the use of the Cercignani-Lampis boundary condition to define the classical problems of Poiseuille flow, thermal-creep flow and Couette flow in plane channel.The results of this research could help implement new analytical and computational methods with applications to nanotechnology, a priority area for both NSF and the Federal Government. Coupled with ever-improved computing machines, it also has the potential to define an improved standard of analysis and design of mechanical systems, as evidenced by the PIs' discussions with engineers in the U.S., Brazil, Japan and Greece about their work. Specific possible applications include micro-electro-mechanical systems (MEMS).

该美国-巴西奖项将支持北卡罗来纳州立大学的 Charles E. Siewert 博士与巴西阿雷格里港南里奥格兰德联邦大学的 Liliane B. Barichello 博士进行合作研究。 他们的项目涉及稀薄气体动力学的一般领域，重点解决泊肃叶流问题、热蠕变流问题和库埃特流问题，这些问题由刚性球相互作用的线性玻尔兹曼方程和 Cercignani- 定义。 Lampis 边界条件应用于包含流动的两个表面。 这项工作将基于分析离散坐标法和速度变量方面勒让德展开的使用。 这是一个重要的项目，其中 PI 考虑使用 Cercignani-Lampis 边界条件来定义平面通道中的 Poiseuille 流、热蠕变流和 Couette 流的经典问题。这项研究的结果可以帮助实施新的分析和解决方案。应用于纳米技术的计算方法，这是美国国家科学基金会和联邦政府的优先领域。 与不断改进的计算机相结合，它还有可能定义改进的机械系统分析和设计标准，PI 与美国、巴西、日本和希腊的工程师就其工作进行的讨论就证明了这一点。 具体的可能应用包括微机电系统（MEMS）。