Numerical Integration Methods in Gas Bubble Dynamics



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The Journal of the Acoustical Society of America


A recent detailed formulation of the dynamics of a gas bubble requires the numerical integration of a nonlinear heat equation in the bubble. In this article, a variety of numerical methods for this purpose are studied. The most efficient technique is found to be an adaptive Galerkin–Chebyshev spectral method, which is explained in detail. Examples of oscillations at high forcing and chaotic response are also given. These results differ very considerably from those obtained by use of the simpler models used by previous investigators.



Bubble dynamics, Spectral methods, Numerical integration


Copyright 1989 The Journal of the Acoustical Society of America. Recommended citation: Kamath, Vinod, and Andrea Prosperetti. "Numerical integration methods in gas?bubble dynamics." The Journal of the Acoustical Society of America 85, no. 4 (1989): 1538-1548. DOI: 10.1121/1.397356 URL: Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).