Study on acoustic propagation problems based on the two-dimensional moving virtual node technique of the CSRPIM

The Finite Element Method (FEM) is a strong tool for acoustic propagation problems, but dispersion errors in linear triangular elements, stemming from their inherent "over -stiff" nature, can pose significant trouble. This issue can be effectively solved by the moving virtual node technique. In this paper, the two-dimensional (2D) form of the moving virtual node technique is derived and introduced into the cell -based smoothed radial point interpolation method (CSRPIM). The superiority of the CSRPIM with the moving virtual node technique (CSRPIM-T4-Cdm) is proved by two benchmarks with analytical solution. The focus of this article is to establish a hybrid model to simulate the flow -induced noise by combining this method with Computational Fluid Dynamics (CFD). The hybrid CSRPIM-T4-Cdm/CFD model fully utilizes its capability to control dispersion errors in acoustic propagation, enhancing the accuracy of numerical prediction. This paper provides a detailed study of the theoretical derivation, development process, and validation of the hybrid CSRPIM-T4-Cdm/CFD model. Finally, the hybrid CSRPIM-T4-Cdm/CFD model is applied to analyze the characteristic of turbulence interference noise of cylinder -hydrofoil.