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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:402

Article

Schmidmayer, Kevin¹  Bryngelson, Spencer H.¹  Colonius, Tim¹ 

[1] CALTECH, Div Engn & Appl Sci, 1200 E Calif Blvd, Pasadena, CA 91125 USA

关键词: Bubble dynamics;    Interface-capturing schemes;    Diffuse-interface method;    Multiphase flow;    Compressible flow;   

DOI  :  10.1016/j.jcp.2019.109080

来源: Elsevier

【 摘 要 】

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] 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. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free