arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2012.00325math.NAcs.NA
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准静态电磁场计算的两步达尔文模型时域公式

A Two-Step Darwin Model Time Domain Formulation for Quasistatic Electromagnetic Field Calculations

M. Clemens, F. Kasolis, M. -L. Henkel, B. Kähne, M. Günther

摘要:

在没有波传播的情况下,瞬态电磁场由准静态达尔文场模型的复合标量/矢量势公式控制。达尔文型场模型能够捕获电感、电阻和电容效应。为了避免可能的非对称性和病态的完全离散的单片配方,在这里,达尔文场模型的结果,在两步算法,连续计算的电标量位和磁矢量位的离散表示。数值模拟验证了该方法的有效性。

英文摘要:

In the absence of wave propagation, transient electromagnetic fields are governed by a composite scalar/vector potential formulation for the quasistatic Darwin field model. Darwin-type field models are capable of capturing inductive, resistive, and capacitive effects. To avoid possibly non-symmetric and ill-conditioned fully discrete monolithic formulations, here, a Darwin field model is presented which results in a two-step algorithm, where the discrete representations of the electric scalar potential and the magnetic vector potential are computed consecutively. Numerical simulations show the validity of the presented approach.

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