Modeling of the finite amplitude plane wave propagation in non-dissipative medium

• Autorzy: Baranowska A.
• Języki publikacji: EN

Abstrakty

EN

The paper presents results of theoretical analysis of the finite amplitude plane wave propagation problem. The case of harmonic plane wave propagation in non-dissipative medium was considered. The mathematical model and some results of numerical investigations are presented. The mathematical model was built on the basis of one-dimensional continuity equation, equation of motion in differential form and state equation. The finite difference method was applied to solve the problem numerically. The pressure changes and harmonic pressure amplitude changes were analysed. The results of computer calculations were compared with solution of the Burgers equation.

Słowa kluczowe

EN

amplitude plane wave; Burgers equation; mathematical model

• Wydawca: Polskie Towarzystwo Akustyczne. Oddział Gdański
• Czasopismo: Hydroacoustics
• Rocznik: 2008
• Tom: Vol. 11
• Strony: 11--18
• Opis fizyczny: Bibliogr. 2 poz., tab., wykr.

Twórcy

autor

Baranowska A.

• Gdansk University of Technology, Department of Mathematical and Numerical Analysis, G. Narutowicza 11/12, 80-952 Gdansk, Poland,

Bibliografia

• 1. N.S. Bakhvalov, Ya. M. Zhileikin, E.A. Zabolotskaya, Nonlinear theory of sound beam, Nauka Press, Moscow 1982 (in Russian).
• 2. L.K. Zarembo, V.I. Timoshenko, Nonlinear acoustics, Moscow University Press, Moscow 1984 (in Russian).