Kinetic lattice group models: structure and applications

动力学晶格群模型：结构与应用

• 批准号: 181860196
• 负责人: Professor Dr. Hans Babovsky
• 金额: --
• 依托单位: Arbeitsgruppe Numerische Mathematik und Informationsverarbeitung
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2010
• 资助国家: 德国
• 起止时间: 2009-12-31 至 2016-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/181860196?language=en
• 关键词: Kinetic; lattice; group; models; structure

The project concerns the construction, analytic investigation and computer implementation of discrete kinetic models for numerical fluid flow simulations in the transition regime between slightly rarefied gas flows and fluid dynamics. Important applications arise in the field of microflows.The project continues the investigations of the predecessor project in which a link between rarefied gas theory and fluid dynamics could be established in terms of a correction term. Based on linearized theory, this assists in constructing models in a wide range of applications. These studies are to be carried on analytically and with the use of computer algebra and extended to nonlinear theory. In the preceding project, a software toolbox was developed and implemented for efficient flow simulations on CPU's and GPU's. This is to be refined and extended in particular by supplementing adaptive elements in order to improve the resolution of complex flow patterns.

该项目涉及在轻微稀薄气体流动和流体动力学之间的过渡状态中用于数值流体流动模拟的离散动力学模型的构建、分析研究和计算机实现。在微流领域出现了重要的应用。该项目继续了前一个项目的研究，其中稀薄气体理论和流体动力学之间的联系可以通过修正项建立起来。基于线性化理论，这有助于在广泛的应用中构建模型。这些研究将进行分析和使用计算机代数和扩展到非线性理论。在前一个项目中，开发并实现了一个软件工具箱，用于在CPU和GPU上进行高效的流动模拟。这将被细化和扩展，特别是通过补充自适应元素，以提高复杂流动模式的分辨率。