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A quantitative comparison of phase-averaged models for bubbly, cavitating flows

Bryngelson, Spencer H. and Schmidmayer, Kevin and Colonius, Tim (2019) A quantitative comparison of phase-averaged models for bubbly, cavitating flows. International Journal of Multiphase Flow, 115 . pp. 137-143. ISSN 0301-9322.

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We compare the computational performance of two modeling approaches for the flow of dilute cavitation bubbles in a liquid. The first approach is a deterministic model, for which bubbles are represented in a Lagrangian framework as advected features, each sampled from a distribution of equilibrium bubble sizes. The dynamic coupling to the liquid phase is modeled through local volume averaging. The second approach is stochastic; ensemble-phase averaging is used to derive mixture-averaged equations and field equations for the associated bubble properties are evolved in an Eulerian reference frame. For polydisperse mixtures, the probability density function of the equilibrium bubble radii is discretized and bubble properties are solved for each representative bin. In both cases, the equations are closed by solving Rayleigh–Plesset-like equations for the bubble dynamics as forced by the local or mixture-averaged pressure, respectively. An acoustically excited dilute bubble screen is used as a case study for comparisons. We show that observables of ensemble- and volume-averaged simulations match closely and that their convergence is first order under grid refinement. Guidelines are established for phase-averaged simulations by comparing the computational costs of methods. The primary costs are shown to be associated with stochastic closure; polydisperse ensemble-averaging requires many samples of the underlying PDF and volume-averaging requires repeated, randomized simulations to accurately represent a homogeneous bubble population. The relative sensitivities of these costs to spatial resolution and bubble void fraction are presented.

Item Type:Article
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URLURL TypeDescription
Bryngelson, Spencer H.0000-0003-1750-7265
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2019 Elsevier Ltd. Received 4 January 2019, Revised 5 March 2019, Accepted 31 March 2019, Available online 3 April 2019.
Funding AgencyGrant Number
Office of Naval Research (ONR)N0014-17-1-2676
Record Number:CaltechAUTHORS:20190403-101200730
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Official Citation:Spencer H. Bryngelson, Kevin Schmidmayer, Tim Colonius, A quantitative comparison of phase-averaged models for bubbly, cavitating flows, International Journal of Multiphase Flow, Volume 115, 2019, Pages 137-143, ISSN 0301-9322, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:94398
Deposited By: Tony Diaz
Deposited On:03 Apr 2019 18:12
Last Modified:05 Apr 2019 20:33

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