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An assessment of multicomponent flow models and interface capturing schemes for spherical bubble dynamics

Schmidmayer, Kevin and Bryngelson, Spencer H. and Colonius, Tim (2019) An assessment of multicomponent flow models and interface capturing schemes for spherical bubble dynamics. . (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20190513-102413759

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Abstract

Numerical simulation of bubble dynamics and cavitation is challenging; even the seemingly simple problem of a collapsing spherical bubble is difficult to compute accurately with a general, three-dimensional, compressible, multicomponent flow solver. Difficulties arise due to both the physical model and the numerical method chosen for its solution. We consider the 5-equation model of Allaire et al. [1], the 5-equation model of Kapila et al. [2], and the 6-equation model of Saurel et al. [3] as candidate approaches for spherical bubble dynamics, and both MUSCL and WENO interface-capturing methods are implemented and compared. We demonstrate the inadequacy of the traditional 5-equation model of Allaire et al. [1] for spherical bubble collapse problems and explain the corresponding advantages of the augmented model of Kapila et al. [2] for representing this phenomenon. Quantitative comparisons between the augmented 5-equation and 6-equation models for three-dimensional bubble collapse problems demonstrate the versatility of pressure-disequilibrium models. Lastly, the performance of pressure disequilibrium model for representing a three-dimensional spherical bubble collapse for different bubble interior/exterior pressure ratios is evaluated for different numerical methods. Pathologies associated with each factor and their origins are identified and discussed.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1903.08242arXivDiscussion Paper
ORCID:
AuthorORCID
Bryngelson, Spencer H.0000-0003-1750-7265
Colonius, Tim0000-0003-0326-3909
Additional Information:The authors would like to thank Dr. Mauro Rodriguez, Prof. Eric Johnsen, and Dr. Shahaboddin Alahyari Beig for fruitful discussions. This work was supported by the Office of Naval Research under grant numbers N0014-18-1-2625 and N0014-17-1-2676.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N0014-18-1-2625
Office of Naval Research (ONR)N0014-17-1-2676
Subject Keywords:Bubble dynamics, interface-capturing schemes, diffuse-interface method, multiphase flow, compressible flow
Record Number:CaltechAUTHORS:20190513-102413759
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190513-102413759
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95428
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 May 2019 17:30
Last Modified:13 May 2019 17:30

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