One-dimensional nonlinear induced dynamics of acoustic waves in a finite three-dimensional domain |
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Authors: | V A Zharov O I Rovenskaya |
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Abstract: | The problem of the time-dependent viscous compressible gas flow excited by a small external time-dependent space-and time-periodic force is considered within the framework of the Navier-Stokes equations on a finite interval with periodic boundary conditions. The investigation is carried out numerically for a periodicity interval L, divided by the viscous length, from 102 to 2 × 103 and external force amplitudes from 10?4 to 0.1. The nonlinear dynamics of the wave processes are investigated within the framework of this problem. It is shown that nonlinear steady-state oscillations with sharp variation of the quantities in space and time develop when L is greater than or of the order of 103. This leads to the onset of a continuous spectrum. |
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Keywords: | viscous compressible gas external space-and time-periodic force one-dimensional problem periodic boundary conditions |
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