This paper is concerned with theoretical study of high-amplitude shock-free acoustic field in a gas-filled piston-driven cylindrical resonator where the diameter exceeds its height in a substantial way. Due to this geometry, only radial modes are driven. Since these modes are non-equidistant, resonance conditions are not fulfilled for higher harmonics of the acoustic field resulting from nonlinear effects, they are suppressed, the acoustic saturation effect is avoided and Q-factor of the resonator increases. Such a resonant cavity behaves similarly as a variable-cross-section resonator, but the geometry is much simpler which gives rise to its greater utilization e.g. in ultrasonic processing applications. For the purpose of numerical simulation of the problem, set of Navier-Stokes equations formulated in cylindrical coordinates is used. The equations are integrated by using of a central semi-discrete difference scheme, characteristic boundary conditions are implemented. Numerical results confirm excitation of shock-free high-amplitude waveform in the resonant cavity.
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