Diving into ellipsoid swimming pool at one focus

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    Ellipsoid Focus
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SUMMARY

The discussion centers on the behavior of waves in a half-ellipsoidal swimming pool, particularly focusing on the effects of diving at one focus and the resulting splash at the other focus. Participants agree that while the splash may not project a swimmer upwards due to varying body shapes, significant wave reflections occur at the foci. The conversation highlights the importance of understanding both pressure waves and surface waves, with references to acoustic impedance and wave propagation speeds. Tools like the Falstad ripple simulator are suggested for visualizing these phenomena.

PREREQUISITES
  • Understanding of ellipsoidal geometry and its properties
  • Basic knowledge of wave mechanics, including pressure and surface waves
  • Familiarity with acoustic impedance and its relevance in fluid dynamics
  • Experience with simulation tools, specifically the Falstad ripple simulator
NEXT STEPS
  • Explore the principles of wave reflection in ellipsoidal shapes
  • Investigate the differences between pressure waves and surface waves in fluids
  • Learn about acoustic impedance and its impact on wave transmission in different materials
  • Experiment with the Falstad ripple simulator to visualize wave behavior in various geometries
USEFUL FOR

Physics enthusiasts, fluid dynamics researchers, and educators looking to demonstrate wave behavior in unique geometrical contexts will benefit from this discussion.

  • #31
Baluncore said:
Don't forget that the velocity of the gravity wave is depth dependent.
Yes. but if the wave period is short enough, such that the wavelength is much smaller than the average depth, this effect could be made small. At the boundary the slopes are very steep so it would not be like a shallow water wave.

It would be cool, if one could show both types of waves cause an effect at the other focus with the same impact.
 
Last edited:

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