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Wave propagation in advected acoustics within a non-uniform medium under the effect of gravity

机译:重力作用下非均匀介质内对流声学中的波传播

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摘要

We investigate linear wave propagation in non-uniform medium under the influence of gravity. Unlike the case of constant properties medium here the linearized Euler equations do not admit a plane-wave solution. Instead, we find a "pseudo-plane-wave". Also, there is no dispersion relation in the usual sense. We derive explicit analytic solutions (both for acoustic and vorticity waves) which, in turn, provide some insights into wave propagation in the non-uniform case.
机译:我们研究了在重力影响下线性波在非均匀介质中的传播。与恒定特性介质的情况不同,此处的线性欧拉方程式不允许平面波解。相反,我们找到了“伪平面波”。而且,在通常意义上不存在色散关系。我们得出了明确的解析解(对于声波和涡旋波),从而为非均匀情况下的波传播提供了一些见识。

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