Acoustics

Acoustics

Linear Iterative Procedure to Solve a Rayleigh–Plesset Equation

Yazarlar: Christian Vanhille

Cilt 3 , Sayı 1 , 2021 , Sayfalar 212-220

Konular:-

DOI:10.3390/acoustics3010015

Anahtar Kelimeler:Nonlinear Rayleigh–Plesset equation,Linear iterative procedure,Nonlinear acoustics

Özet: A nonlinear Rayleigh–Plesset equation for describing the behavior of a gas bubble in an acoustic field written in terms of bubble-volume variation is solved through a linear iterative procedure. The model is validated, and its accuracy and fast convergence are shown through the analysis of several examples of different physical meanings. The simplicity and usefulness of the presented method here in relation to the direct resolution of the whole nonlinear system, which is also discussed, make the method very attractive to solving a problem. This iterative method allows us to solve only linear systems instead of the nonlinear differential problem. Moreover, the implementation of the iterative algorithm includes a tolerance-dependent stopping criterion that is also tested.

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@article{2021, title={Linear Iterative Procedure to Solve a Rayleigh–Plesset Equation}, volume={3}, number={212–220}, publisher={Acoustics}, author={Christian Vanhille}, year={2021} }
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Christian Vanhille. (2021). Linear Iterative Procedure to Solve a Rayleigh–Plesset Equation (Vol. 3). Vol. 3. Acoustics.
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Christian Vanhille. Linear Iterative Procedure to Solve a Rayleigh–Plesset Equation. no. 212–220, Acoustics, 2021.
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