MORTIGAMA - Mortaring and Isogeometric Analysis for Electric Machines

该项目提出了应用样条或更准确地说，基于nurbs的有限元方法来模拟电机，即所谓的等几何分析。这种新颖的方法保证了低自由度的精确解决方案，并且能够优雅地模拟由于样条参数化引起的几何变化，例如在机器的不确定性量化或形状优化中。转子的运动是通过在鞍点公式中锚定来实现的。我们提出了基于样条和谱元的新方法，并将对其进行理论和实践分析。

This project proposes the application of a Spline or more precisely NURBS-based finite element approach for the simulation of electrical machines, the so-called isogeometric analysis. This novel approach promises accurate solutions with a low number of degrees of freedom and enables elegantly to model geometry variations due to the Spline parametrisation, e.g. within an uncertainty quantification or shape optimisation of a machine. The movement of the rotor is implemented by mortaring in a saddle-point formulation. We propose novel approaches based on Splines and spectral elements which will be analyzed theoretically and practically.