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

Kevin Schmidmayer (1) , Spencer Bryngelson (1) , Tim Colonius (1)

1 Caltech Division of Engineering and Applied Science

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.

Mots clés: Bubble dynamics; interface-capturing schemes; diffuse-interface method; multiphase flow; compressible flow

Domaines: Mécanique des fluides [physics.class-ph]; Modélisation et simulation; Equations aux dérivées partielles [math.AP]

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⟩