迎风─线性棱边单元法

Upwind-Linear Edge Elements Method

运动导体的涡流问题通常采用迎风─伽辽金法求解，因为采用普通的有限元法求解，解会发生振荡。这种迎风─伽辽金法不适应离散以场矢量Ｈ为变量的数学模型。为此本文提出了迎风─线性棱边元法，这种方法具有线性棱元的特点，使用的迎风因子要比迎风─伽辽金法的要少，并且能获得稳定解。文章最后以电磁轨道炮为例，求出电流密度分布，并比较两种方法的结果。

The Upwind-linear edge element method,which can eliminates the non-physical oscillation in solution, is presented for 3D eddy current problems involving the moving conductors. The numerical method uses fewer upwind factors than the conventional upwind method, and maintains the continuity of the tangential field component and increases the solution accuracy. The proposed method is employed to discretize the 3D eddy current formulation that uses magnetic field intensity H as a variable in whole solution region. As an example the eddy current problems in electromagnetic railgun are used to validate the described method.