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The effects of acoustic-wave propagation both outside and inside a radially collapsing and rebounding bubble are examined. This is done by comparing computational results produced by various reduced-model equations with benchmark results produced by numerical solution of the Euler equations under adiabatic conditions. Numerical inaccuracy associated with the moving bubble surface is avoided by means of a coordinate transformation that yields a fixed surface coordinate. Comparisons of calculated bubble-radius histories and peak surface pressures show that, while acoustic-wave effects in the external liquid are important, such effects in the internal gas are not.
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Geers et al. (2012) studied this question.
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