USING TWO OPTIONS FOR CONJUGATING WAVE FIELDS IN THE METHOD OF PARTIAL DOMAINS

Authors

  • V. T. Grinchenko Institute of Hydromechanics of NAS Ukraine, Kyiv, Ukraine
  • V. O. Husak Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • V. T. Matsypura Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

DOI:

https://doi.org/10.17721/2706-9699.2021.2.01

Keywords:

partial domains method, wedge-shaped waveguide, wave field

Abstract

The paper considers the use of two options of conjugation of wave fields in the method of partial domains: the first is the conjugation of wave fields in the sense of the root mean square approximation, the second is the pointwise conjugation of wave fields. A solution is obtained for the  problem of radiation from one or two flat pistons into a wedge-shaped waveguide. It is shown that with the same number of modes in partial domains, the version of the root mean square approximation is more accurate. A quite acceptable calculation accuracy was obtained for the option of pointwise conjugation of fields at a certain value of the wave distance between the nodal points.

References

Grinchenko V. T., Vovk I. V., Matsypura V. T. Acoustic wave problems. New York: Begell House, Inc., 2018. 439 p.

Grinchenko V. T., Vovk I. V., Matsypura V. T. Basics of acoustics. Kyiv: Naukova Dumka, 2007. 640 p. (In Ukrainian)

Published

2021-12-30

How to Cite

Grinchenko, V. T., Husak, V. O., & Matsypura, V. T. (2021). USING TWO OPTIONS FOR CONJUGATING WAVE FIELDS IN THE METHOD OF PARTIAL DOMAINS. Journal of Numerical and Applied Mathematics, 2 (136), 5-16. https://doi.org/10.17721/2706-9699.2021.2.01