Parallel and explicit methods for the simulation of eddy current problems

该研究项目“涡流问题模拟的并行和显式时间积分方法”继续了由DFG资助的先驱项目中开始的工作。该项目的目标是为涡流问题的模拟开发有效的并行算法，这些算法非常适合当前异构的大规模并行计算机体系结构。由于传统的隐式时间积分方法和最近发展的（半）显式时间积分方法的并行化可能不能很好地扩展到特定核数之外，因此提出了多重射击或平行时间积分方法的应用。这些方法显示了沿着时间轴进行高效并行化的新的附加潜力。新开发的算法旨在比现有方法更快地计算磁场，例如在变压器、致动器和电机的三维高分辨率模型中。这使得优化和不确定性量化成为可能，特别是在电动汽车的新型变频电机的设计过程中。在先前资助的研究项目中，并行和（半）显式时间积分方法的开发为磁场模拟的进一步加速和GPU加速的扩展使用奠定了基础。在这个后续的研究项目中，这些最近开发的算法将得到改进，并通过额外采用和扩展平行面方法来进一步加速高分辨率三维磁场模拟模型。

This research project Parallel and Explicit Time Integration Methods for the Simulation of Eddy Current Problems continues the work started in a forerunner project funded by the DFG grant. The objective of this project is to develop efficient parallel algorithms for the simulation of eddy current problems that are well suited for current heterogeneous massively parallel computer architectures. Since the parallelization of conventional implicit and the recently developed (semi-)explicit time integration methods for magneto-quasistatic problems might not scale well beyond a specific number of cores, also the application of parallel-in-time methods like Multiple Shooting or Parareal is proposed. These methods show new additional potential for an efficient parallelization along the time axes.The newly developed algorithms aim to allow for a faster computation of magnetic fields e.g. in three-dimensional high-resolution models of transformers, actuators and electric machines than established methods. This enables optimization and uncertainty quantification and is especially relevant e.g. in the design process of new inverter-fed electric machines for electric vehicles. Within the previously funded research projects the development of parallel and (semi-)explicit time integration methods set the foundations for the further acceleration of the magnetic field simulations and an even extended use of GPU acceleration. Within this following-up research project, these recently developed algorithms are to be improved and further acceleration of high-resolution three-dimensional magnetic field simulations models is to be achieved by additionally adopting and extending the Parareal methodology.