Based On The Boundary Element Method Of Indoor Three-dimensional Acoustic Field Of Numerical Simulation And Analysis

The Boundary Element Method is simple, strong adaptability, high precision and has the advantages of reducing the dimension. Its widely application in stress analysis, heat transfer theory and engineering calculation area. This paper, by using the Boundary Element Method to solve the three dimensional interior sound field problem, providing a basis of the analysis of the interior sound field characteristics.First of all, this paper discusses the characteristics of the room acoustics on the effect of theoretical analysis of indoor reflection, interior resonance, the shape of a room.Secondly, through the Helmholtz equation and the research of green function to build the establishment of a room acoustics of three dimensional boundary element model, and the research on boundary default classification and the singular integral processing is discussed.Moreover, using C++program to realize the three dimensional boundary element program and in the help of matlab, draw the simulation diagram and contour map, and using Morse Jane theory and with the space in a straight line, as a representative of the point and the frequency variation, as a representative of the point are compared and verification.Next, we found that the acoustic Morse theory and boundary element fitting accuracy is not high, analysis the reason for this is not out of the direct wave count in the low frequency, join direct wave the accuracy is improved.In the end of this paper, the deficiency of the future research direction was discussed and summarized.