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SUMMARY:Scattering of acoustic waves by a resonant bubbly screen - Kim Pha
 m (ENSTA ParisTech)
DTSTART:20230526T143000Z
DTEND:20230526T151500Z
UID:TALK198958@talks.cam.ac.uk
DESCRIPTION:\n\n\n\nThis study concerns the propagation of acoustic waves 
 through a thin screen made of a periodic arrangement of air bubbles in wat
 er. The bubbles are oscillators of the Minnaert type whose dynamics is mod
 ified by the containment. This nonlinear dynamics is obtained in the time 
 domain using asymptotic analysis and a homogenization technique involving 
 three scales\, those being the scale of a bubble\, that of the array and e
 ventually that of the wavelength. The resulting effective model is set in 
 the water (the screen has disappeared) and it encapsulates the effect of t
 he screen in a jump of the normal acoustic velocity. The jump is linked to
  the continuous version of the bubble radius which satisfies a non-linear 
 equation of the Rayleigh&ndash\;Plesset type. Our findings are exemplified
  by numerical experiments of the scattering of a short pulse in the linear
  and nonlinear regimes.\n\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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