Linear and nonlinear approaches and digital signal processing in aeroacoustics |
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Authors: | A N Kraiko O M Mel’nikova K S Pyankov |
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Institution: | (1) Department of Civil Engineering, University of Colorado at Boulder, 428 UCB, Boulder, CO 80309-0428, USA;(2) Department of Earthquake Engineering, Kandilli Observatory and Earthquake Research Institute, Bogazici University, 81220 Cengelkoy, Istanbul, Turkey |
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Abstract: | The linear and nonlinear approaches to the calculation of small acoustic disturbance propagation and evolution in nonuniform
flows are compared. In the conventional linear approach it is the linearized equations of time-dependent, ideal (inviscid
and non-heat-conducting) or viscous gas flow that are integrated. In the nonlinear approach the original nonlinear equations
governing the same time-dependent flow (Euler equations for an ideal gas) are integrated; these are the same equations that,
together with time relaxation procedure, are used in the linear approach for calculating the stationary background. It is
shown that the application of digital signal processing, widely used in acoustic experiments, makes it possible to isolate
the harmonic acoustic waves from the results of integration of the nonlinear equations, though their intensity is smaller
than that of the noise due to computational errors, including inadequate attainment of the stationary background. |
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