Variational multiscale method in large eddy simulations of turbulent flows for fluid-structure interaction

流固耦合湍流大涡模拟中的变分多尺度方法

• 批准号: 5405584
• 负责人: Professor Dr.-Ing. Wolfgang A. Wall
• 金额: --
• 依托单位: Lehrstuhl für Numerische Mechanik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2003
• 资助国家: 德国
• 起止时间: 2002-12-31 至 2010-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5405584?language=en
• 关键词: Variational; multiscale; method; large; eddy

The inclusion of turbulence effects is absolutely mandatory for many fluid-structure-interaction problems of engineering interest. Nowadays Large Eddy Simulation seems to be the only reasonable approach for treating these turbulence effects for a wide class of problems and in a computationally acceptable way. A newly developed three-level finite element method will be employed and upgraded to serve as basement for the Variational Multiscale Method/Large Eddy Simulation approach that will be developed and studied within this project. The three levels stand for the resolved coarse scales, the resolved small scales and the unresolved small scales, respectively, where the first level is approximated in a standard FE sense, the second level is resolved in a residual free bubble manner and the third level is used for the determination of a subgrid viscosity. After intensive studies of this basic approach the main focus of the project will be on global-local strategies for the small scale equations, the analysis and adaption of scale spaces and subgrid-models and on the embedding of this multiscale strategy in overall solution approaches. The second project period will concentrate on the extension to time-dependent domains and on the incorporation into our three-field fluid structure interaction solver. This will be a major step in the treatment of problem classes of utmost engineering interest, like aerodynamical problems of wind-excited thin-walled structures, vortex shedding of flexible bodies and some biomechanical problems.

对于许多工程上感兴趣的流体-结构-相互作用问题，湍流效应的考虑是绝对必要的。如今，大涡模拟似乎是唯一合理的方法来处理这些湍流效应的广泛的一类问题，并在计算上可接受的方式。一个新开发的三级有限元方法将被采用和升级，作为基础的变分多尺度方法/大涡模拟方法，将在本项目中开发和研究。这三个水平分别代表解析的粗尺度、解析的小尺度和未解析的小尺度，其中第一水平在标准FE意义上近似，第二水平以残余自由气泡方式解析，第三水平用于确定亚网格粘度。在深入研究了这种基本方法之后，该项目的主要重点将是小尺度方程的全局-局部策略，尺度空间和子网格模型的分析和适应，以及将这种多尺度策略嵌入到整体解决方案中。第二个项目期间将集中在扩展到时间依赖域，并纳入我们的三场流体结构相互作用求解器。这将是一个重大的一步，在治疗的问题类最大的工程利益，如风激薄壁结构的空气动力学问题，柔性体的旋涡脱落和一些生物力学问题。