基于不可分卷积完全匹配层的分层线性化理想MHD方程的吸收边界公式
An absorbing boundary formulation for the stratified, linearized, ideal MHD equations based on an unsplit, convolutional perfectly matched layer
摘要：
完美匹配的层是一种非常有效和准确的方式来吸收介质中的波。我们提出了一个稳定的卷积不分裂完全匹配的制定设计的线性化分层欧拉方程。然而，应用于磁流体动力学（MHD）方程的技术需要使用海绵，尽管存在完美匹配的状态问题，但海绵在吸收传出波方面仍然非常有效。我们研究的背景下的线性波在太阳中的传播模型的方程的解决方案。我们测试的数值稳定性的计划，在大量的波周期积分方程。
英文摘要：
Perfectly matched layers are a very efficient and accurate way to absorb waves in media. We present a stable convolutional unsplit perfectly matched formulation designed for the linearized stratified Euler equations. However, the technique as applied to the Magneto-hydrodynamic (MHD) equations requires the use of a sponge, which, despite placing the perfectly matched status in question, is still highly efficient at absorbing outgoing waves. We study solutions of the equations in the backdrop of models of linearized wave propagation in the Sun. We test the numerical stability of the schemes by integrating the equations over a large number of wave periods.
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