The traditional low-order finite element model is usually used to obtain the acoustic scattering field of a submarine structure, and then to evaluate the acoustic stealth performance. However, the traditional finite element method is affected by the numerical pollution effect, and requires very dense mesh to obtain reliable numerical solutions for problems with relatively medium and high frequencies, leading to prohibitive cost in mesh division. In this paper, the overlapping finite element method (OFEM) and Dirichlet-to-Neumann (DtN) mapping technique are combined to construct a coupled numerical model for the acoustic scattering of underwater elastic targets. When constructing local approximations in the OFEM, the virtual nodes are used to generate partition of unity functions, while no degrees of freedom are assigned to these virtual nodes. The novel OFEM can be directly applied to low-order finite element models and achieve higher-order approximations of the unknown variables. Numerical examples show that the OFEM can reduce the numerical error significantly and has broad application prospects in the prediction of underwater acoustic scattering by elastic targets.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |