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Matematicheskoe modelirovanie, 2014, Volume 26, Number 3, Pages 49–64 (Mi mm3458)  
Numerical simulation of propogation of the sound beams of finite amplitude in nonlinear dissipative medium

O. A. Savitsky, T. A. Chistyakova

Taganrog Institute of Technology of the Southern Federal University
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Abstract: The paper is devoted to mathematical modeling of propagation of the sound beams of finite amplitude in nonlinear dissipative medium, as well as to the study of constructed discrete model. We used a method of splitting by physical processes. When constructing a discrete model, preference is given to monotone schemes. The effects of focusing in a nonlinear dissipative medium are researched.
Keywords: Khokhlov–Zabolotskaya–Kuznetsov equation, splitting scheme, the scheme with weights, a numerical experiment, the sound beam, diffraction, nonlinearity, dissipation.
Received: 28.08.2012
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 5, Pages 523–534
DOI: https://doi.org/10.1134/S2070048214050111
Bibliographic databases:
Document Type: Article
UDC: 519.6:532.5
Language: Russian
Citation: O. A. Savitsky, T. A. Chistyakova, “Numerical simulation of propogation of the sound beams of finite amplitude in nonlinear dissipative medium”, Matem. Mod., 26:3 (2014), 49–64; Math. Models Comput. Simul., 6:5 (2014), 523–534
Citation in format AMSBIB
\Bibitem{SavChi14}
\by O.~A.~Savitsky, T.~A.~Chistyakova
\paper Numerical simulation of propogation of the sound beams of finite amplitude in nonlinear dissipative medium
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 3
\pages 49--64
\mathnet{http://mi.mathnet.ru/mm3458}
\elib{https://elibrary.ru/item.asp?id=21826439}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 5
\pages 523--534
\crossref{https://doi.org/10.1134/S2070048214050111}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925940539}
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    		Математическое моделирование
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