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everywhere they only show the single diameter tube, but they don't explain what happens to the wave when the tube changes its diameter

Is someone kind enough to graph me how the wave changes when the diameter of the tube changes?

enter image description here

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  • $\begingroup$ What wave are you asking about (in gas, in liquid, in solid)? $\endgroup$ – Alex Trounev Sep 7 at 4:00
  • $\begingroup$ I mean sound waves traveling through an air tube $\endgroup$ – molo32 Sep 7 at 4:14
  • $\begingroup$ OK! Do these waves propagate in a stream or in a stationary gas? Is it acoustic waves or shock waves? $\endgroup$ – Alex Trounev Sep 7 at 4:28
  • $\begingroup$ is acoustic waves $\endgroup$ – molo32 Sep 7 at 4:35
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We solve the wave equation in a pipe with a sharp expansion, with the boundary conditions of non-reflection from the right boundary. A periodic signal is set on the left border. The initial data is zero. The animation frames show the passage of a wave through a pipe over 6 periods. We used FEM and Mathematics 12. Figure 1

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