Abstract
Recently developed Lagrangian particle aeroacoustic model has shown its capability for simulating acoustic wave propagation problems in flowing fluids. It also has high potential for solving transient acoustics in a domain with moving boundaries. Typical application is sound wave propagation in continuous speech production. When the fluid flow or moving boundary is taken into account, initially evenly distributed particles will become irregular. For irregular particle distribution, the smoothed particle hydrodynamics (SPH) method with constant smoothing length suffers from low accuracy, phase error and instability problems. To tackle these problems, SPH with particle interaction adaptivity might be more efficient, with analog to mesh-based methods with adaptive grids. When the wave arrives at the open boundary, absorbing conditions have also to be applied. Therefore, the main task of this work is to incorporate variable smoothing length and absorbing boundary conditions into the Lagrangian particle aeroacoustic model. The extended model is successfully validated against three typical one- and two-dimensional sound wave propagation problems.
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References
Aoyama, K., Matsuzaki, H., Miki, N., et al.: Finite-element method analysis of a three-dimensional vocal tract model with branches. J. Acoust. Soc. Am. 100(4), 2657–2658 (1996)
Kagawa, Y., Shimoyama, R., Yamabuchi, T., et al.: Boundary element models of the vocal tract and radiation field and their response characteristics. J. Sound Vib. 157(3), 385–403 (1992)
Takemoto, H., Mokhtari, P., Kitamura, T.: Acoustic analysis of the vocal tract during vowel production by finite-difference time-domain method. J. Acoust. Soc. Am. 128(6), 3724–3738 (2010)
Wang, Y., Wang, H., Wei, J., et al.: Mandarin vowel synthesis based on 2D and 3D vocal tract model by finite-difference time-domain method. In: Proceedings of the 2012 Asia Pacific Signal and Information Processing Association Annual Summit and Conference, Hollywood, CA, pp. 1–4 (2012)
Wei, J., Guan, W., Hou, Q., et al.: A new model for acoustic wave propagation and scattering in the vocal tract. In: 17th Annual Conference of the International Speech Communication Association, INTERSPEECH, San Francisco, CA, pp. 3574–3578 (2016)
Monaghan, J.J.: An introduction to SPH. Comput. Phys. Commun. 48(1), 89–96 (1988)
Zhang, Y.O., Zhang, T., Ouyang, H., et al.: SPH simulation of sound propagation and interference. In: Proceedings of the 5th International Conference on Computational Method, Cambridge, England, pp. 1–6 (2014)
Wei, J., Han, J., Hou, Q., et al.: SPH simulations of aeroacoustic problems in vocal tracts. J. Tsinghua Univ. (Sci. Technol.) 56(11), 1242–1248 (2016). (in Chinese)
Liu, G.R., Liu, M.B.: Smoothed Particle Hydrodynamics: A Meshfree Particle Method. World Scientific, Singapore (2003)
Monaghan, J.J.: Smoothed particle hydrodynamics. Ann. Rev. Astron. Astrophys. 30, 543–573 (1992)
Nelson, R.P., Papaloizou, J.C.B.: Variable smoothing lengths and energy conservation in smoothed particle hydrodynamics. Mon. Not. Roy. Astron. Soc. 270(1), 1–20 (1994)
Monaghan, J.J., Rafiee, A.: A simple SPH algorithm for multi-fluid flow with high density ratios. Int. J. Numer. Methods Fluids 71(5), 537–561 (2013)
Berenger, J.P.: A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114, 185–200 (1994)
Vitanza, E., Grammauta, R., Molteni, D., et al.: A shallow water SPH model with PML boundaries. Ocean Eng. 108, 315–324 (2015)
Yuan, X., Borup, D., Wiskin, J.W., et al.: Formulation and validation of Berenger’s PML absorbing boundary for the FDTD simulation of acoustic scattering. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44(4), 816–822 (2002)
Berenger, J.P.: Three-dimensional perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 127(2), 363–379 (1996)
Modave, A., Deleersnijder, E., Delhez, E.J.M.: On the parameters of absorbing layers for shallow water models. Ocean Dyn. 60(1), 65–79 (2010)
Molteni, D., Grammauta, R., Vitanza, E.: Simple absorbing layer conditions for shallow wave simulations with smoothed particle hydrodynamics. Ocean Eng. 62(4), 78–90 (2013)
Acknowledgements
The research is supported partially by the National Basic Research Program of China (No. 2013CB329303), the National Natural Science Foundation of China (No. 51478305 and No. 61233009) and the JSPS KAKENHI Grant (16K00297).
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Wang, F., Hou, Q., Deng, J., Wang, S., Dang, J. (2018). Particle Interaction Adaptivity and Absorbing Boundary Conditions in the Lagrangian Particle Aeroacoustic Model. In: Fang, Q., Dang, J., Perrier, P., Wei, J., Wang, L., Yan, N. (eds) Studies on Speech Production. ISSP 2017. Lecture Notes in Computer Science(), vol 10733. Springer, Cham. https://doi.org/10.1007/978-3-030-00126-1_5
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