一种改善多次透射边界稳定性的措施

A METHOD FOR ELIMINATING INSTABILITY OF MULTITRANSMITTING BOUNDARY

本文提出在边界区设置粘性阻尼的方法，在保持多次透射边界精度的同时可以消除波动数值模氦中的高频振荡失稳现象。文中就出平面波动情形分析了采取和未采取这一措施时多次透射边界的稳定性和精度，给出相应的稳定性条件，所得结果表明了这一方法的有效性。文中的算例验证了分析结果。

To improve the stability of the multitransmitting boundary and preserve its accuracy at the same time, it is proposed in the paper to add viscous damping in its adjacent region. The stability and accuracy analysis of the multitransmitting boundary with or without this measure illuminates its practicality and reasonableness. Numerical examples are presented to verify the theoretical results.