Single bubble Sonoluminescence (SBSL) is a phenomenon involving light emission during the implosion of an oscillating gas bubble immersed in liquid. A new one dimensional HYDRO code (HYDRO-RPI) was developed for the analytical study of sonoluminescence phenomenon, including simulations of the shock waves, local gas temperatures and the spectrum of the light emissions. The accuracy of HYDRO-RPI has been verified against known exact solutions. Comparisons with other numerical methods (i.e., the original artificial viscosity method of von Neumann & Richmyer, Noh's shock following method, and the piecewise-parabolic method of Colella & Woodward) have also demonstrated the advantages of HYDRO-RPI. Using a photon transport model which was introduced into HYDRO-RPI, we obtained results for sonoluminescence (SL) radiation, and the duration of the light emission, which showed good agreement with experimental data [Hiller et al., 1992; Gompf et al., 1997]. The dependence of SL radiation on the acoustic incident pressure and equilibrium bubble size was discussed. We found that an order of magnitude change in SL radiation can occur without appreciable change in the maximum and bulk gas temperature inside the bubble. This is consistent with recent SL experiments performed by Delgadino [1999].; In order to economically investigate the various phenomena involved in SBSL, except those related to the high Mach number regime in the final pico-seconds of a collapsing bubble, a simplified hydrodynamic model (RNLB) based on a modified Rayleigh equation, was also developed and compared with the results of HYDRO-RPI to check for self-consistency. In addition, a method of excitation to achieve much higher gas temperatures, and a stability boundary for SBSL, were discussed. The validity of the numerical results for the stability boundary were assessed against experimental data.
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