Numerical Integration Methods in Gas Bubble Dynamics

Date

1989-04

Journal Title

Journal ISSN

Volume Title

Publisher

The Journal of the Acoustical Society of America

Abstract

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.

Description

Keywords

Bubble dynamics, Spectral methods, Numerical integration

Citation

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: https://asa.scitation.org/doi/abs/10.1121/1.397356 Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).