Adaptive Discontinuous Galerkin Method for Transient Analysis of Eddy Current Fields in High-speed Rotating Solid Rotors

摘要

For transient analysis of eddy-current fields in solid rotors which have invariant material properties along its motion direction, it is convenient to use the Eulerian formulation where only a fixed mesh is needed when modeling motion effect. However, a convection-diffusion equation has to be solved numerically instead of solving the pure diffusion equation in the Lagrangrian description of motion. Furthermore, when the rotor rotates at high-speeds, the eddy-current fields usually present sharp transition layers and also evolve with time, which makes it difficult to solve these fields accurately. To obtain high-resolution numerical solution efficiently, an adaptive discontinuous Galerkin method is adopted and numerical examples are given to showcase the accuracy and effectiveness of the proposed method.