Numerical simulation of the interactions between a ferrofluid and an immersed permanent magnet

铁磁流体和浸入式永磁体之间相互作用的数值模拟

• 批准号: 36698793
• 负责人: Professor Dr. Lutz Tobiska
• 金额: --
• 依托单位: Dept. of Numerical Mathematics
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2007
• 资助国家: 德国
• 起止时间: 2006-12-31 至 2009-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/36698793?language=en
• 关键词: Numerical; simulation; interactions; between; ferrofluid

This project is devoted to the numerical modelling of interactions between a ferrofluid with a free surface and a permanent magnet immersed in this ferrofluid. It is a highly nonlinear problem involving the numerical simulation of magnetic fields, incompressible fluid flow and rigid body motion. All these components influence each other and both the position of the rigid bodies and the form of the domain occupied by the ferrofluid are generally not known in advance. The goal is to develop robust, accurate and efficient solvers for problems of the mentioned type. This will include research on linearization strategies, time stepping techniques, discretization concepts and efficient solvers for the arising large sparse systems of linear equations. In addition, appropriate tools for handling the moving boundaries have to be developed. The project has applications in spacecraft technologies where devices containing ferrofluid with an immersed magnet are used to damp oscillations of satellites.

本项目致力于具有自由表面的磁流体与浸没在这种磁流体中的永磁体之间相互作用的数值模拟。它是一个高度非线性的问题，涉及磁场、不可压缩流体流动和刚体运动的数值模拟。所有这些分量都是相互影响的，并且刚体的位置和磁流体占据的磁区的形式通常都是事先未知的。我们的目标是为上述类型的问题开发健壮、准确和高效的解算器。这将包括对线性化策略、时间推进技术、离散化概念和正在出现的大型稀疏线性方程组的有效解算器的研究。此外，还必须开发适当的工具来处理移动边界。该项目在航天器技术中有应用，其中包含带有浸没磁铁的磁流体的设备被用来抑制卫星的振动。

项目成果

Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem

• DOI: 10.1002/num.21706
• 发表时间: 2013-01
• 期刊: Numerical Methods for Partial Differential Equations
• 影响因子: 3.9
• 作者: P. Knobloch;L. Tobiska