On numerical calculation of acoustic field of plane source

• Autorzy: Leble S. , Sukhov A.
• Języki publikacji: EN

Abstrakty

EN

The harmonics of an acoustic beam have been evaluated numerically by means of an integral representation according to the perturbation theory. A method for evaluation of the integrals of a rapidly oscillating function has been applied. Special attention has been paid to the accuracy of calculations and an algorithm for error estimation has been proposed. A computer program has been realized, and the profiles of the first and the second harmonics have been plotted. The used methods can be applied for the problem with dissipation or dispersion.

Słowa kluczowe

EN

Khokhlov-Zabolotskaya-Kuznetsov equation; numerical calcutation; oscillating function; nonlinear acoustics

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2003
• Tom: Vol. 7, No 2
• Strony: 185--198
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Leble S.

• Gdansk University of Technology, Narutowicza 11/12, 80-952 Gdansk, Poland
• Kaliningrad State University, A. Nevsky str. 14b, 236006 Kaliningrad, Russia

autor

Sukhov A.

• Kaliningrad State University, A. Nevsky str. 14b, 236006 Kaliningrad, Russia

• Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland,

Bibliografia

• [1] Kuznetsov V P 1971 Sov. Phys. Acoust. 16 467
• [2] Aanonscn S I 1983 Numerical Computation of the Near Field of a Finite Amplitude Sound Beam, Report 73, Dept, of Math., Univ. of Bergen, Bergen, Norway
• [3] Aanonscn S I, Barkve T, Tjotta J N and Tjotta S 1984 J. Acoust. Soc. Am. 75 749
• [4] Kunitsyn V E and Rudenko O V 1978 Sov. Phys. Acoust. 24 549
• [5] Yanke E, Emde F and Lesh F 1968 Special Functions, Science, Moscow
• [6] Kshevetsky S P and Leble S B 1995 Mathematical Methods of Theoretical Physics, Kaliningrad State University, Kaliningrad
• [7] Novikov V K, Rudenko O V and Timoshenko B I 1987 Nonlinear Underwater Acoustics, Am. Inst. Phys., New York