A modification of the spectral description of nonlinear acoustic waves with discontinuitiesстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:An approximate method of spectral description of strongly nonlinear waves with discontinuities is developed. This is a method of numerical analysis of strong wave propagation based on a small number of harmonic components. The main idea underlying this approach is the familiar high-frequency asymptotic of the spectrum of-a discontinuous wave. A system of a finite number of coupled differential equations for spectral amplitudes is derived. This system was used to analyze a nonlinear evolution of periodic waves and pulses in ideal and lossy media. A comparison of numerical results and known analytical solutions revealed a high efficiency of the suggested approach.