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Article

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

Chair of Mechanical Process Engineering, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany
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Fluids 2020, 5(2), 69; https://doi.org/10.3390/fluids5020069
Received: 14 April 2020 / Revised: 6 May 2020 / Accepted: 8 May 2020 / Published: 13 May 2020
(This article belongs to the Special Issue Modelling of Reactive and Non-reactive Multiphase Flows)
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. View Full-Text
Keywords: pressure-based algorithms; finite-volume methods; polytropic flows; cavitation pressure-based algorithms; finite-volume methods; polytropic flows; cavitation
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MDPI and ACS Style

Denner, F.; Evrard, F.; van Wachem, B. Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids. Fluids 2020, 5, 69. https://doi.org/10.3390/fluids5020069

AMA Style

Denner F, Evrard F, van Wachem B. Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids. Fluids. 2020; 5(2):69. https://doi.org/10.3390/fluids5020069

Chicago/Turabian Style

Denner, Fabian, Fabien Evrard, and Berend van Wachem. 2020. "Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids" Fluids 5, no. 2: 69. https://doi.org/10.3390/fluids5020069

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