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

pp. 11-18, vol. 11, 2008

Anna Baranowska
Gdansk University of Technology, Department of Mathematical and Numerical Analysis, Gdansk, Poland

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Abstract: 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 onedimensional 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.

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