Abstract

A method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a circular channel with boundary conditions of the third kind. The method can be applied in the case of a variable speed of sound. The dependence of the accuracy of approximating the convolution kernel of the TBC on the approximation accuracy of its image is investigated. An example of the set of coefficients of the TBC operator is given.

中文翻译：

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圆形截面通道中波动方程的透明边界条件

摘要

提出了一种计算具有第三类边界条件的圆形通道中波动方程透明边界条件(TBC)算子系数的方法。该方法可以应用于声速可变的情况。研究了TBC卷积核逼近精度对其图像逼近精度的依赖性。给出了TBC算子系数集的一个例子。