Modelling of the finite amplitude waves interaction problem inside truncated cone

• Autorzy: Baranowska A.
• Języki publikacji: EN

Abstrakty

EN

The paper presents the results of theoretical investigations of the finite amplitude waves interaction in water. The mathematical model and some results of numerical investigations are presented. The acoustic pressure amplitude changes for different frequency waves (especially difference frequency wave) along the sound beam were investigated. The mathematical model was built on the basis of the KZK equation. It was assumed that a circular piston was the source of two different frequency finite amplitude waves. The problem was considered as an axial symmetric one. The solution of the problem was looked for inside a truncated cone. To solve the problem the finite-difference method was applied.

Słowa kluczowe

EN

amplitude waves; truncated cone

• Wydawca: Polskie Towarzystwo Akustyczne. Oddział Gdański
• Czasopismo: Hydroacoustics
• Rocznik: 2003
• Tom: Vol. 6
• Strony: 131--136
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Baranowska A.

• Gdansk University of Technology, Department of Mathematical and Numerical Analysis, Gdansk, Poland

Bibliografia

• 1. N.S. Bakhvalov, Ya.M. Zhileikin, E.A. Zabolotskaya, Nonlinear theory ofsound bcam, Nauka, Moscow 1982 (in Russian).
• 2. A. Baranowska, Numerical investigations of finite amplitudc waves interaction in water, Proceedings of the 2nd EAA International Symposium on Hydroacoustics, Gdansk-Jurata, 247-250,1999.
• 3. H.O. Barktey, D.1. Leahy, Farfield performance ofparametric transducer, 1. Acoust. SOC. Am., 25, 3, 539-546, 1974.
• 4. M.B. Moffet, W.L. Konrad, L.F.Carlton, Experimental demonstration of the absorption of sound by sound in water, 1. Acoust. Soc. Am., 63, 4,1048-1051,1978.
• 5. V.A. Voronin, S.P. Tarasov, V.l. Timoshenko, Application ofparametric arrays in Marine research, Sov. Phys. Acoust., 41, 3, 405-409,1995 (in Russian).
• 6. L.K. Zarembo, V.l. Timoshenko, Nonlinear acoustic, Moscow University Press, Moscow 1984 (in Russian).