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Article Dans Une Revue Journal of Computational Physics Année : 2020

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

Résumé

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 5equation model of Allaire et al. [1] and Massoni et al. [2], the 5-equation model of Kapila et al. [3], and the 6-equation model of Saurel et al. [4] 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 for spherical bubble collapse problems and explain the corresponding advantages of the augmented model of Kapila et al. [3] 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 the pressure-disequilibrium model. Lastly, the performance of the 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.
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hal-03649385 , version 1 (22-04-2022)

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Kevin Schmidmayer, Spencer Bryngelson, Tim Colonius. An assessment of multicomponent flow models and interface capturing schemes for spherical bubble dynamics. Journal of Computational Physics, 2020, 402, pp.109080. ⟨10.1016/j.jcp.2019.109080⟩. ⟨hal-03649385⟩

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