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| A meshless method for solving the 3D sound pressure distribution problem |
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Abstract The traditional FEM suffers from pollution and dispersion phenomena when it was used to compute sound pressure distribution problem. The meshless weighted least-square (MWLS) method is a meshless method based on the moving least- square (MLS) approximation, which has Low dispersion, high precision characteristics with solving the problem of sound pressure distribution problem. The MLS may form ill-conditioned system of equations, an accurate solution of which is difficult to obtain. In this paper, by using the weighted orthogonal basis function to construct the improved moving least-square (IMLS) approximation, we derive the formulas and perform the dispersion analysis for an improved meshless weighted least- square (IMWLS) method for three-dimensional (3D) sound pressure distribution problem. Results demonstrated that the pressure distribution and the sound pressure frequency response curve of the calculated reference values agreed very well. The error of peak and pollution are smaller than FEM. The computational cost compared with the element free Galerkin method significantly reduced Results demonstrated that the proposed method can easily reach higher frequency without losing accuracy.
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Received: 20 March 2015
Published: 28 December 2015
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2015, Vol. 36 
