标题： 一种基于非分裂卷积完美匹配层的分层线性理想MHD方程的吸收边界公式 显示英文标题

标题： An absorbing boundary formulation for the stratified, linearized, ideal MHD equations based on an unsplit, convolutional perfectly matched layer

摘要： 完美匹配层是一种非常高效和准确的吸收介质中波的方法。 我们提出了一种稳定的卷积未分裂完美匹配公式，专为线性化分层欧拉方程设计。 然而，该技术应用于磁流体动力学（MHD）方程时需要使用海绵层，尽管这使得完美匹配状态受到质疑，但其在吸收向外传播的波方面仍然非常高效。 我们研究了在太阳中线性波传播模型背景下的方程解。 我们通过在大量波周期内对方程进行积分来测试方案的数值稳定性。 显示英文摘要

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.