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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/5/2/69 |
| _version_ | 1797568098424848384 |
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| author | Fabian Denner Fabien Evrard Berend van Wachem |
| author_facet | Fabian Denner Fabien Evrard Berend van Wachem |
| author_sort | Fabian Denner |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T19:51:32Z |
| format | Article |
| id | doaj.art-68ab7b1b7e6d4728bda9897abd7ed928 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-10T19:51:32Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-68ab7b1b7e6d4728bda9897abd7ed9282023-11-20T00:18:45ZengMDPI AGFluids2311-55212020-05-01526910.3390/fluids5020069Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic FluidsFabian Denner0Fabien Evrard1Berend van Wachem2Chair of Mechanical Process Engineering, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, GermanyChair of Mechanical Process Engineering, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, GermanyChair of Mechanical Process Engineering, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, GermanyA 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.https://www.mdpi.com/2311-5521/5/2/69pressure-based algorithmsfinite-volume methodspolytropic flowscavitation |
| spellingShingle | Fabian Denner Fabien Evrard Berend van Wachem Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids Fluids pressure-based algorithms finite-volume methods polytropic flows cavitation |
| title | Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids |
| title_full | Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids |
| title_fullStr | Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids |
| title_full_unstemmed | Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids |
| title_short | Modeling Acoustic Cavitation Using a Pressure-Based Algorithm for Polytropic Fluids |
| title_sort | modeling acoustic cavitation using a pressure based algorithm for polytropic fluids |
| topic | pressure-based algorithms finite-volume methods polytropic flows cavitation |
| url | https://www.mdpi.com/2311-5521/5/2/69 |
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