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All issues Volume 10 (2026) Acta Acust., 10 (2026) 53 References
Open Access
Issue
Acta Acust.
Volume 10, 2026
Article Number 53
Number of page(s) 18
Section Physical Acoustics
DOI https://doi.org/10.1051/aacus/2026047
Published online 30 June 2026
  1. K. Attenborough: Sound Propagation in the Atmosphere, in: T. Rossing (Eds). Springer Handbook of Acoustics. Springer Handbooks. Springer, New York, NY, 2007. DOI: https://doi.org/10.1007/978-0-387-30425-0_4. [Google Scholar]
  2. H. Bommidala, J. Colas, A. Emmanuelli, D. Dragna, C. Khodr, B. Cotte, R.J.A.M. Stevens: Three-dimensional effects of the wake on wind turbine sound propagation using parabolic equation. Journal of Sound and Vibration 608 (2025) 119036. [Google Scholar]
  3. C. Erbe, A. Duncan, K.J. Vigness-Raposa: Introduction to sound propagation under water, in: C. Erbe, J.A. Thomas (Eds). Exploring Animal Behavior Through Sound: Volume 1. Springer, Cham, 2022. DOI: https://doi.org/10.1007/978-3-030-97540-1_6. [Google Scholar]
  4. G. Rajita, N. Mandal: Review on transit time ultrasonic flowmeter, in: 2nd International Conference on Control, Instrumentation, Energy & Communication (CIEC), Kolkata, India, 2016, pp. 88–92. https://ieeexplore.ieee.org/document/7513740. [Google Scholar]
  5. T.J. Hajenko, C.R. Benson: The high frequency underwater acoustic channel, in: OCEANS’10 IEEE SYDNEY, Sydney, NSW, Australia, 2010, pp. 1–3. https://ieeexplore.ieee.org/abstract/document/5603801. [Google Scholar]
  6. A.P. Sarvazyan, M.W. Urban, J.F. Greenleaf: Acoustic waves in medical imaging and diagnostics. Ultrasound in Medicine & Biology 39, 7 (2013) 1133–1146. https://www.sciencedirect.com/science/article/pii/S0301562913000793. [Google Scholar]
  7. L.C. Lynnworth, Y. Liu: Ultrasonic flowmeters: half-century progress report, Half-century progress report, 1955-2005, Ultrasonics 44, 2006, pp. 1371–1378. [Google Scholar]
  8. ISO International Standard 17089-2: Measurement of fluid flow in closed conduits-Ultrasonic flow meters for gas-Part 2: Meters for industrial applications, 1st edn., 2012. [Google Scholar]
  9. ISO International Standard 17089-1: Measurement of fluid flow in closed conduits-Ultrasonic flow meters for gas-Part 1: meters for custody transfer and allocation measurement, 2nd edn., 2019. [Google Scholar]
  10. Prepared for the future: Ultrasonic flow measurements in flare installations. https://www.endress.com/en/support-overview/learning-center/ultrasonic-flare#toc10 (accessed on 27/08/2025). [Google Scholar]
  11. Z. Wei, X. Zhao, L. Han, N. Zhao, L. Fang: Ultrasonic probes and echo time algorithms in ultrasonic gas flow measurement systems: progress and perspectives. Physics of Fluids 1, 37 (2025) 011–305. [Google Scholar]
  12. G. Chen, G. Liu, B. Zhu, W. Tan: 3D isosceles triangular ultrasonic path of transit-time ultrasonic flowmeter: theoretical design and CFD simulations. IEEE Sensors Journal 15 (2015) 4733–4742. [Google Scholar]
  13. S.F. Mousavi, S.H. Hashemabadi, J. Jamali: Calculation of geometric flow profile correction factor for ultrasonic flow meter using semi-3d simulation technique. Ultrasonics 106 (2020) 106165. [Google Scholar]
  14. C.D. Reid: Some investigations into the velocity of sound at ultra-sonic frequencies using quartz oscillators. Physical Review 35 (1930) 814–831. [Google Scholar]
  15. C.D. Reid: Notes on the effect of distance from the source on the velocity of sound at ultrasonic frequencies. Physical Review 37 (1931) 1147–1148. [Google Scholar]
  16. H. Seki, A. Granato, R. Truell: Diffraction effects in the ultrasonic field of a piston source and their importance in the accurate measurement of attenuation. Journal of the Acoustical Society of America 28, 2 (1956) 230–238. [Google Scholar]
  17. A.O. Williams Jr., The piston source at high frequencies. Journal of the Acoustical Society of America 23, 1 (1951) 1–6. [Google Scholar]
  18. A.S. Khimunin: Numerical calculation of the diffraction corrections for the precise measurement of ultrasonic absorption. Acustica 27, 4 (1972) 173–181. [Google Scholar]
  19. A.S. Khimunin: Numerical calculation of the diffraction corrections for the precise measurement of ultrasound phase velocity. Acustica 32 (1975) 192–200. [Google Scholar]
  20. P. Lunde, K.E. Frøysa, R.A. Kippersund, M. Vestrheim: Transient diffraction effects in ultrasonic meters for volumetric, mass and energy flow measurement of natural gas, in: Proceedings of the 21st International North sea flow Measurement Workshop, Tønsberg, Norway, October 28–31, 2003. [Google Scholar]
  21. P. Lunde, R.A. Kippersund, M. Vestrheim, K.E. Frøysa: Transient diffraction effects in piezo-electric ultrasonic transducers using finite element modelling, in: Proceedings of the 27th Scandinavian Symposium on Physical Acoustics, Ustaoset, Norway, January 25–28, 2004. [Google Scholar]
  22. E. Storheim: Diffraction effects in the ultrasonic field of transmitting and receiving circular piezoceramic disks in radial mode vibration. FE modelling and comparison with measurements in air, Bergen, Norway. Ph.D. thesis, Department of Physics and Technology, University of Bergen, 2015. [Google Scholar]
  23. E.N. Mosland, E. Storheim, P. Lunde, M. Vestrheim, J. Kocbach: Diffraction correction for precision measurements of sound velocity in gas. Is full receiver modelling needed? in: Proceedings of the 44th Scandinavian Symposium on Physical Acoustics, Online, Norway, February 1–2, 2021. [Google Scholar]
  24. A. Lygre, M. Vestrheim, P. Lunde, V. Berge: Numerical simulation of ultrasonic flowmeters, in: Proceedings of the Ultrasonics International 1987 (UI’87), London, Butterworth Scientific Ltd., Guildford, UK, July 6–9, 1987. [Google Scholar]
  25. M. Bezdek: A boundary integral method for modeling sound waves in moving media and its application to ultrasonic flowmeters. Ph.D. thesis, Universität Erlangen- Nürnberg, Erlangen, 2006. [Google Scholar]
  26. M. Bezdek, H. Landes, A. Rieder, R. Lerch: A coupled finite-element, boundaryintegral method for simulating ultrasonic flowmeters. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 54, 3 (2007) 636–646. [Google Scholar]
  27. M. Bezdek, A. Rieder, T. Landes, H. Struntz, R. Lerch: Numerical analysis of wave propagation in an ultrasonic flowmeter, in: Proceedings of the First Congress of Alps Adria Acoustics Association, Portoroz, Slovenia, 1–2 September 2003, pp. 573–580. [Google Scholar]
  28. A. Luca, K. Fodil, A. Zerarka: Full-wave numerical simulation of ultrasonic transit-time gas flowmeters, in: 2016 IEEE International Ultrasonics Symposium (IUS), Tours, France, September 2016. [Google Scholar]
  29. M. Simurda, L. Duggen, N.T. Basse, B. Lassen: Fourier collocation approach with mesh refinement method for simulating transit-time ultrasonic flowmeters under multiphase flow conditions. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 65, 2 (2018) 244–257. [Google Scholar]
  30. K.-E. Frøysa, P. Lunde, M. Vestrheim: A ray theory approach to investigate the influence of flow velocity profiles on transit times in ultrasonic flow meters for gas and liquid, in: 19th International North Sea Flow Measurement Workshop, Kristiansand, Norway, October 22–25, 2001. [Google Scholar]
  31. V.E. Ostashev, D.K. Wilson: Acoustics in Moving Inhomogeneous Media, 2nd edn., CRC Press 2015. [Google Scholar]
  32. A.D. Pierce: Wave equation for sound in fluids with unsteady inhomogeneous flow. Journal of the Acoustical Society of America 87, 6 (1990) 2292–2299. [Google Scholar]
  33. A.D. Pierce: Acoustics: An Introduction to Its Physical Principles and Applications. Acoustical Society of America, New York, USA, 1991. [Google Scholar]
  34. P. Drazin, N. Riley: The Navier–Stokes Equations: A Classification of Flows and Exact Solutions (London Mathematical Society Lecture Note Series). Cambridge University Press, Cambridge, 2006. DOI: https://doi.org/10.1017/CBO9780511526459. [Google Scholar]
  35. D.T. Ngaha, K.-E. Frøysa: Parabolic equation simulation of diffraction effects in a sound beam propagating through a flowing fluid. Proceedings of the Meetings on Acoustics 51, 1 (2023) 045006. [Google Scholar]
  36. J.N. Tjøtta, S. Tjøtta: An analytical model for the nearfield of a baffled piston transducer. The Journal of the Acoustical Society of America 68 (1980) 334–339. [Google Scholar]
  37. V.E. Ostashev, D.K. Wilson, M.B. Muhlestein: Wave and extra-wide-angle parabolic equations for sound propagation in a moving atmosphere. The Journal of the Acoustical Society of America 147, 6 (2020) 3969–3984. [CrossRef] [PubMed] [Google Scholar]
  38. V.E. Ostashev, J. Colas, D. Dragna, D.K. Wilson: Phase-preserving narrow-and wide-angle parabolic equations for sound propagation in moving media. The Journal of the Acoustical Society of America 155, 2 (2024) 1086–1102. [Google Scholar]
  39. F.J. Weber, Jr.: Ultrasonic beam propagation in turbulent flow. Ph.D. dissertation, Worcester Polytechnic Institute, December 16, 2003. https://www.researchgate.net/publication/241427078_Ultrasonic_Beam_Propagation_in_Turbulent_Flow. [Google Scholar]
  40. D. Tchatat, K.-E. Frøysa: Parabolic equation simulation of a sound beam propagating through a flowing fluid, in: Proceedings of the 45th Scandinavian Symposium on Physical Acoustics, Online, Norway, Feburary 31–January 01, 2022. [Google Scholar]
  41. J. Lighthill: Waves in Fluids. Cambridge University Press, 1978. [Google Scholar]
  42. Fluenta, Flare gas flowmeter. https://fluenta.com/wp-content/uploads/2023/09/Fluenta-FGM-160-Product-Data-Sheet.pdf (accessed on 21/02/2025). [Google Scholar]
  43. TechnipFMC: FMC MPU1200 ultrasonic gas flowmeter. https://info.smithmeter.com/literature/docs/ssks009.pdf (accessed on 21/02/2025). [Google Scholar]
  44. Q. Sonic Max: Multi-path ultrasonic gas meter with highest industry standard for custody transfer measurement. https://prod-edam.honeywell.com/content/dam/honeywell-edam/pmt/hps/products/pmc/gas/transmission/ultrasonic-meters/q-sonic-max/pmt-hps-hps-dts-q-sonic-max-metric-2401.pdf?download=false (accessed on 21/02/2025). [Google Scholar]
  45. J.P. Smith, J. Clancy: Calculating the speed of sound in natural gas – AGA report No. 10 to AGA report No. 8. https://asgmt.com/wp-content/uploads/2023/09/2023_Speed_of_Sound_in_Natural_Gas_From_AGA_10_to_AGA_8.pdf From November 13, 2024 (accessed on 21/02/2025). [Google Scholar]
  46. H. Zhang, C. Guo, J. Lin: Effects of velocity profiles on measuring accuracy of transit-time ultrasonic flowmeter. Applied Sciences 9, 8 (2019) 1648. [Google Scholar]
  47. V. Guillemin, S. Sternberg: Geometric Asymptotics. American Mathematical Society, 1990. [Google Scholar]
  48. N. Bleistein, R. Handelsman: Asymptotic Expansions of Integrals. Dover Publications, 1986. [Google Scholar]
  49. R. Ali, T. Dietzen, M. Scerbo, L. Vinceslas, T. Van Waterschoot, E. De Sena: Relating wave-based and geometric acoustics using a stationary phase approximation approximation of the boundary integral equation, in: Proceedings of the 10th Convention of the European Acoustics Association Forum Acusticum, 2023, pp. 3841–3847. https://dael.euracoustics.org/confs/fa2023/data/articles/001143.pdf. [Google Scholar]

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