Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids

A fully coupled pressure-based algorithm and finite-volume framework for the simulation of the acoustic cavitation of bubbles in polytropic gas–liquid systems is proposed. The algorithm is based on a conservative finite-volume discretization with collocated variable arrangement, in which the discret...

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Bibliographic Details
Main Authors: Fabian Denner, Fabien Evrard, Berend van Wachem
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/5/2/69
Description
Summary:A fully coupled pressure-based algorithm and finite-volume framework for the simulation of the acoustic cavitation of bubbles in polytropic gas–liquid systems is proposed. The algorithm is based on a conservative finite-volume discretization with collocated variable arrangement, in which the discretized governing equations are solved in a single linear system of equations for pressure and velocity. Density is described by the polytropic Noble–Abel stiffened-gas model and the interface between the interacting bulk phases is captured by a state-of-the-art algebraic Volume-of-Fluid (VOF) method. The new numerical algorithm is validated using representative test-cases of the interaction of acoustic waves with the gas–liquid interface as well as pressure-driven bubble dynamics in infinite and confined domains, showing excellent agreement of the results obtained with the proposed algorithm compared to linear acoustic theory, the Gilmore model and high-fidelity experiments.
ISSN:2311-5521