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

本计画主要研究具有自由表面之铁磁流体与浸没于其中之永久磁铁间之相互作用。这是一个高度非线性的问题，涉及到磁场，不可压缩流体流动和刚体运动的数值模拟。所有这些分量相互影响，并且通常事先不知道刚性体的位置和由铁磁流体占据的畴的形式。我们的目标是为上述类型的问题开发强大，准确和高效的解决方案。这将包括研究线性化策略，时间步进技术，离散化概念和有效的解决方案，为新兴的大型稀疏系统的线性方程。此外，还必须开发处理移动边界的适当工具。该项目在航天器技术中有应用，其中含有浸没磁体的铁磁流体的装置用于阻尼卫星的振荡。

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.