Application of the lattice Boltzmann method to the study of ultrasound propagation and acoustic streaming in three-dimensional cavities: advantages and limitations

Jaouad Benhamou; Bjarne Vincent; Sophie Miralles; Mohammed Jami; Daniel Henry; Ahmed Mezrhab; Valéry Botton

doi:10.1007/s00162-023-00676-9

Application of the lattice Boltzmann method to the study of ultrasound propagation and acoustic streaming in three-dimensional cavities: advantages and limitations

Jaouad Benhamou, Bjarne Vincent, Sophie Miralles, Mohammed Jami, Daniel Henry, Ahmed Mezrhab, Valéry Botton

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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Abstract

Abstract: The paper presents a three-dimensional numerical study of the acoustic streaming induced by the dissipation of ultrasounds during their propagation in the air. The waves are generated by a circular acoustic source positioned at the center of the left wall of a parallelepipedic cavity. The simulations are performed with the lattice Boltzmann method associated with the D3Q19 multiple relaxation time model. A validation of this model is first performed by comparing the numerical and analytical acoustic intensities along the central axis of the acoustic source. The main objective of this study is to use two different methods to calculate the acoustic streaming flow. The first method is the direct calculation of the mean velocity fields as the mean values of the instantaneous velocities. The second method is an indirect technique, which first calculates the acoustic streaming force and then injects this force into the numerical code to produce the streaming. A comparison between the results obtained by the two methods was carried out and a good agreement was found between them. These different investigations, rather new in three-dimensional configurations, have allowed us to discuss the advantages and limitations of the lattice Boltzmann approach to simulate real situations of wave propagation and acoustic streaming. Graphical abstract: [Figure not available: see fulltext.]

Original language	English
Pages (from-to)	725-753
Number of pages	29
Journal	Theoretical and Computational Fluid Dynamics
Volume	37
Issue number	6
DOIs	https://doi.org/10.1007/s00162-023-00676-9
Publication status	Published - 19 Oct 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.

Funder

This collaborative work was supported by the PHC Maghreb Partnership Program no. 36951NG and the Phase 2 PHC Toubkal Program. A grant to J.B. and the support from the P2CHPD of the University Claude Bernard Lyon 1 and the PMCS2I of Ecole Centrale de Lyon for the numerical calculations are also gratefully acknowledged. For the purpose of Open Access, a CC-BY public copyright licence has been applied by the authors to the present document and will be applied to all subsequent versions up to the Author Accepted Manuscript arising from this submission.

Keywords

3D simulation
Acoustic streaming
Lattice Boltzmann method
Ultrasound

ASJC Scopus subject areas

Condensed Matter Physics
Engineering(all)
Fluid Flow and Transfer Processes
Computational Mechanics

Access to Document

10.1007/s00162-023-00676-9

Article_Benhamou_28_07_2023_accepted_versionAccepted author manuscript, 2.85 MBLicence: CC BY

https://hal.science/LMFA/hal-03943859v2Licence: CC BY

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Application of the lattice Boltzmann method to the study of ultrasound propagation and acoustic streaming in three-dimensional cavities: advantages and limitations. / Benhamou, Jaouad; Vincent, Bjarne; Miralles, Sophie et al.
In: Theoretical and Computational Fluid Dynamics, Vol. 37, No. 6, 19.10.2023, p. 725-753.

Research output: Contribution to journal › Article › peer-review

Benhamou, J, Vincent, B, Miralles, S, Jami, M, Henry, D, Mezrhab, A & Botton, V 2023, 'Application of the lattice Boltzmann method to the study of ultrasound propagation and acoustic streaming in three-dimensional cavities: advantages and limitations', Theoretical and Computational Fluid Dynamics, vol. 37, no. 6, pp. 725-753. https://doi.org/10.1007/s00162-023-00676-9

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Application of the lattice Boltzmann method to the study of ultrasound propagation and acoustic streaming in three-dimensional cavities: advantages and limitations

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