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| A modified radial point interpolation method for the analysis of underwater acoustic radiation problems |
| Received:June 01, 2022 Revised:September 02, 2022 |
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| DOI：10.7511/jslx20220601001 |
| KeyWord:radial point interpolation method underwater acoustic radiation problems DtN mapping infinite domain meshless technique |
| Author | Institution |
| 桂强 |
华中科技大学 船舶与海洋工程学院, 武汉 |
| 孙磊 |
华中科技大学 船舶与海洋工程学院, 武汉 |
| 游翔宇 |
长沙理工大学 水利与环境工程学院, 长沙 |
| 柴应彬 |
武汉理工大学 船海与能源动力工程学院, 武汉 |
| 李威 |
华中科技大学 船舶与海洋工程学院, 武汉 ;华中科技大学 船舶与海洋水动力湖北省重点实验室, 武汉 ;高新船舶与深海开发装备协同创新中心, 上海 |
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| Abstract: |
| 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. |
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