Abstract

In this study, three-dimensional sound fields can be visualized by measured data in an addition to transient numerical solutions. Concretely, the results of measurements by the four-point microphone method are used in the visualization of three-dimensional sound fields. By the results, distribution of virtual sources and hedgehog pattern are visualized as the receiving point is located on the center point in three-dimensional sound fields. The analyses of the transient sound fields are performed by the discretization of the wave equation. As the technique of numerical calculation, the finite difference method (FDM) is used. Transient sound fields are visualized by numerical solutions of sound pressure, instantaneous sound intensity, sound energy and particle displacement in three-dimensional space in addition to two-dimensional space. It has been verified that the numerical solutions have high accuracy by comparison with the corresponding analytical solutions. VRML97 is used as the viewer of three-dimensional sound fields. In this study, several trials of three-dimensional animation are going to be shown by VRML97 in order to visualize the transient sound fields.

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