Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал | Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics
In the present study a numerical method for simulation of the diffusion problem for a single gas bubble oscillating in an acoustic field is developed. The method is based on the conservative numerical scheme for the diffusion equation where diffusion flux continuity is acting as conservation law. This method allows one to take into account the influence of changing mass of the gas inside the bubble on the strongly nonlinear dynamics of a bubble. The numerical results obtained using the proposed method utilizing conservative scheme and the standard scheme, which does not conserve the total mass of the gas-liquid system, reveals that in the latter case the numerical error may accumulate and lead to physically incorrect results.