Gas bubble dynamics in the center of spherical liquid volume

Results of numerical solution of the problem of spherical gas bubble dynamics in the center of spherical liquid volume are presented with account of vibrational degrees of freedom, dissociation, ionization of the gas and temperature-dependence of the liquid pressure. The input data of the problem are close to those used in a number of works on simulation of the single-bubble-sonoluminescence phenomenon. More accurate solution to this problem has been derived at many times less computational expenses. The efficiency and the accuracy are achieved as a result of using a model in which the gas and the liquid in most part of the spacial-temporal domain are described by approximations to the gasdynamic equations rather than exact equations themselves.