A modified radial point interpolation method for the analysis of underwater acoustic radiation problems
The radial point interpolation method(RPIM),a typical meshless technique,outperforms the classic finite element method(FEM)in suppressing the numerical dispersion errors and generating more accurate solutions using the same node distributions in acoustic analyses.In this work a modified node selection scheme for the construction of shape functions is developed and the proposed method is termed the modified RPIM(mRPIM).This scheme employs a simple and effective form which makes the integrand inside an identical background cell compatible.Thus,the integration error is significantly reduced and the solution accuracy is improved.Meanwhile,the Dirichlet-to-Neumann(DtN)mapping technique is utilized to make the infinite domain a bounded computational domain and the Sommerfeld radiation condition can be satisfied.Numerical experiments show that the proposed mRPIM can yield more accurate solutions and be more efficient than the standard FEM and the standard RPIM,and is promising in solving underwater acoustic radiation problems.
radial point interpolation methodunderwater acoustic radiation problemsDtN mappinginfinite domainmeshless technique
万方数据
维普
