Analysis of underwater acoustic scattering problems using stable node-based smoothed finite element method. (November 2016)

• Record Type: Journal Article
• Authors: Chai, Yingbin; Li, Wei; Li, Tianyun; Gong, Zhixiong; You, Xiangyu
• Is Part Of: Engineering analysis with boundary elements. Volume 72(2016:Nov.)
• Page Start: 27
• Page End: 41
• Publication Date: 2016-11
• Subjects: Underwater acoustic scattering -- Numerical methods -- Finite element method (FEM) -- Node-based smoothed finite element method (NS-FEM) -- Dirichlet-to-Neumann (DtN) condition; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2016.08.005
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: A stable node-based smoothed finite element method (SNS-FEM) is presented that cures the "overly-soft" property of the original node-based smoothed finite element method for the analysis of underwater acoustic scattering problems. In the SNS-FEM model, the node-based smoothed gradient field is enhanced by additional stabilization term related to the gradient variance items. It is demonstrated that SNS-FEM provides an ideal stiffness of the continuous system and improves the performance of the NS-FEM and FEM. In order to handle the acoustic scattering problems in unbounded domain, the well known Dirichlet-to-Neumann (DtN) boundary condition is combined with the present SNS-FEM to give a SNS-FEM-DtN model for exterior acoustic problems. Several numerical examples are investigated and the results show that the SNS-FEM-DtN model can achieve more accurate solutions compared to the NS-FEM and FEM.