Abstract:
The paper proposes a numerical approach based on the orthogonal central composite
design method, which allows studying the mechanism of acoustic wave scattering on a
system of sound-permeable spheres and analyzing the sensitivity of this multiparameter
system to a small change in several main parameters (factors). The method is
implemented for a three-factor computational experiment using the example of systems
with strong interaction between scatterers. For the obtained regression equation, the
significance of the coefficients and the adequacy of the model are checked for two simple
types of configurations and three values of the number of spheres in them, as well as the
search for optimal values of two objective functions. For each case considered, essential
and insignificant factors are established; the parameters at which the objective functions
achieve the highest (lowest) value are determined; the sensitivity of this function to a
small change in the variable parameters is determined.
Keywords:sound-permeable sphere, acoustic scattering, total scattering cross section,
computational experiment, orthogonal central composite design method, regression model.
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