MATHEMATICAL MODELING OF ACOUSTIC PROPOGATION THROUGH AURALIZATION TECHNIQUES INSIDE ENCLOSERS WITH VARIATION OF BOUNDARY CONDITIONS

Registration of acoustic properties and auralization of enclosed spaces is becoming increasingly important. In today's world, when designing or renovating historic buildings such as opera houses, churches and concert halls, it is important to simulate sound propagation in order to preserve the original acoustic properties. In our article, we consider the process of propagation of a sound wave in an internal three-dimensional non-stationary area, namely, the modeling of acoustics in a concert hall. To do this, according to the given input parameters, initial and boundary conditions, the distribution function of sound pressure in a given area over a period of time was determined. In the course of calculations, we use a computing platform to implement the finite element method, as well as the finite difference method using an explicit scheme as an example. On the basis of numerical results, we draw conclusions about the effectiveness of closed space auralization methods, and also describe aspects of optimization and use of methods.

1. Pengpeng Xie, Yong Peng, Tiantian Wang, Zhifa Wu, Song Yao, Mingzhi Yang, Shengen Yi. (2020) Aural comfort prediction method for high-speed trains under complex tunnel environments, Transportation Research Part D: Transport and Environment, vol. 81, 102284, ISSN 1361-9209, https://doi.org/10.1016/j.trd.2020.102284

2. Roberto A. Tenenbaum, Filipe O. Taminato, Viviane S.G. Melo. (2020) Fast auralization using radial basis functions type of artificial neural network techniques, Applied Acoustics, vol. 157, 106993, ISSN 0003-682X, https://doi.org/10.1016/j.apacoust.2019.07.041

3. Frederico Pereira, Francisco Soares, Carlos Silva, Emanuel Sousa, Elisabete Freitas. (2021) CPX based synthesis for binaural auralization of vehicle rolling noise to an arbitrary positioned stander-by receiver, Applied Acoustics, vol. 182, 108211, ISSN 0003-682X, https://doi.org/10.1016/j.apacoust.2021.108211

4. Rodríguez-Molares A. (2013) A new method for auralisation of airborne sound insulation, Applied Acoustics, vol. 74, issue 1, pp. 116–121, ISSN 0003-682X, https://doi.org/10.1016/j.apacoust.2012.06.017.

5. Staffeldt H. (1993) Modelling of room acoustics and loudspeakers in JBL's complex array design program CADP2, Applied Acoustics, vol. 38, issues 2–4, pp. 179–193, SSN 0003-682X, https://doi.org/10.1016/0003-682X(93)90050-G.

6. Naylor G.M. (1993) ODEON–Another hybrid room acoustical model, Applied Acoustics, vol. 38, issues 2–4, pp. 131–143, ISSN 0003-682X, https://doi.org/10.1016/0003-682X(93)90047-A.

7. Koutsouris D. & Vorländer M. (2019). Auralization: An overview. Applied Sciences, 9(2), 243. doi:10.3390/app9020243.

8. Rindel J.H. & Gade A.C. (2017) Auralization: Fundamentals of acoustics, modelling, simulation, algorithms, and acoustic virtual reality. CRC Press.

9. Kleiner M., Dalenbäck B.I., Svensson P. & Västfjäll D. (2007) A virtual sound environment system based on measured and simulated room impulse responses. Acta Acustica united with Acustica, 93(2), pp. 210–220.

10. Lindau A., Kleiner M. & Sarey Khanie M. (2019) Auralization for urban sound planning and soundscape design. Acta Acustica united with Acustica, 105(5), pp. 957–968.

11. Katz, B. F. G., & Aspöck, L. (2019) Auralization of wind turbine noise for soundscape assessment. Applied Acoustics, 155, pp. 74–81.

12. Franck A. & Corteel E. (2018) Auralization in room acoustics design using virtual reality. Applied Sciences, 8(9), 1497. doi:10.3390/app8091497

13. Lifshitz S.Y. Kurs arhitekturnoj akustiki; M:МВТУ, vol. 128, 1927, pp. 17–39.