Conditional moment methods for polydisperse cavitating flows
Date
2021
Authors
Bryngelson, Spencer H.
Colonius, Tim
Major Professor
Advisor
Committee Member
Journal Title
Journal ISSN
Volume Title
Publisher
arXiv
Authors
Research Projects
Organizational Units
Organizational Unit
Journal Issue
Is Version Of
Versions
Series
Department
Chemical and Biological Engineering
Abstract
The dynamics of cavitation bubbles are important in many flows, but their small sizes and high number densities often preclude direct numerical simulation. We present a computational model that averages their effect on the flow over larger spatiotemporal scales. The model is based on solving a generalized population balance equation (PBE) for nonlinear bubble dynamics and explicitly represents the evolving probability density of bubble radii and radial velocities. Conditional quadrature-based moment methods (QBMMs) are adapted to solve this PBE. A one-way-coupled bubble dynamics problem demonstrates the efficacy of different QBMMs for the evolving bubble statistics. Results show that enforcing hyperbolicity during moment inversion (CHyQMOM) provides comparable model-form accuracy to the traditional conditional method of moments and decreases computational costs by about ten times for a broad range of test cases. The CHyQMOM-based computational model is implemented in MFC, an open-source multi-phase and high-order-accurate flow solver. We assess the effect of the model and its parameters on a two-way coupled bubble screen flow problem.
Comments
This is a pre-print of the article Bryngelson, Spencer H., Rodney O. Fox, and Tim Colonius. "Conditional moment methods for polydisperse cavitating flows." arXiv preprint arXiv:2112.14172 (2021). Copyright 2021 The Authors. Attribution 4.0 International (CC BY 4.0). Posted with permission.
Description
Keywords
Bubbly flow,
cavitation,
population balance modeling,
quadrature-based moment methods