Numerical Computation of Acoustic Field Using Boundary Mesh Less Method
The common requests of the meshless interpolating functions are researched, and its construction method and procedures using the moving least squares method are introduced. The point collocation method is adopted to discretize the Kirchhoff-Helmholtz boundary integral equations into equation groups that constrained by boundary conditions. Constrained equation groups are solved by matrix-division method finally. Therefore, the discrete numeric expression of acoustic radiating and transferring model is obtained. In the example, acoustic field is calculated by the acoustic radiating and transferring model that obtained through both BMLM and BEM, and the results are contrasted between the computational values and the true values. It shows that the interpolating functions of BMLM could be built more flexible. So the accuracy of interpolation and calculation by BMLM is higher.
Liangchi Zhang, Chunliang Zhang, Jeng-Haur Horng and Zichen Chen
H. Hu et al., "Numerical Computation of Acoustic Field Using Boundary Mesh Less Method", Advanced Materials Research, Vols. 591-593, pp. 1942-1948, 2012