Acoustic Response in Multi-Domain Based on Least-Square Point Collocation Method and Reproducing Kernel Particle Method
Li Hong-qiu1; Chen Guo-ping 1; Shi Bao-jun 2
1. jinling institute of technology, nanjing 211169, china;
2.Nanjing University of Aeronautics and Astronautics, Nanjing 210016，China；
3.Shandong Jianzhu University, Jinan 250101，China
Abstract：Meshless method faces several challenges such as boundary problems and stability of the results. In this paper, approximated functions were constructed based on the principle of reproducing kernel particle method and least-square collocation method was used to solve boundary problems. The system coefficient matrix generated by this method is symmetric, which make sure the results stable. A least-square collocation formulation based on kernel reproducing particle method was established for solving multi-domain acoustic response. Helmholtz equation was then discretized. To verify the proposed method, several numerical examples of two-dimensional problems were analyzed. Compared to analytic solutions of two examples, the numerical solutions computed by this meshless method are valid. This method needn’t any initial mesh generation and mesh regeneration. Examples show whenever the points were distributed uniformly or randomly the results have good accuracy and convergence.
李鸿秋;陈国平;史宝军. 多联通封闭空间声场响应的基于核重构的最小二乘无网格解法[J]. , 2012, 31(8): 148-152,.
Li Hong-qiu;Chen Guo-ping;Shi Bao-jun . Acoustic Response in Multi-Domain Based on Least-Square Point Collocation Method and Reproducing Kernel Particle Method. , 2012, 31(8): 148-152,.
2012, Vol. 31 
