The acoustic properties are investigated with the Helmholtz integration formulation on surfaces of the underwater structure which has been solved by the
boundary element method.
In this paper,
boundary element method (BEM) is employed for Numerical simulation of the problem under investigation.
The
boundary element method is an effective way of solving boundary value problems for systems of differential equations.
An application of
boundary element methods for three-dimensional transmission problems in electro--and magnetostatic field problems is discussed e.g in [2,6, 14].
The characteristic features of these new methods are the following: (1) instead of homogeneous simplicial or hexahedral meshes, spatial discretizations which consist of arbitrary, even non-convex, polygons or polyhedra are admissible; (2) trial functions are constructed as local solutions of the partial differential equation with simple, usually piecewise linear boundary data on each element; (3) Green's formula then permits the reduction of the variational equation to the element boundaries, leading to a so-called skeletal variational formulation; (4) techniques based on
boundary element methods (BEM) are used in order to approximate the Dirichlet-to-Neumann maps which are associated to the element-local problems.
The interaction problem can be calculated using numerical methods such as the finite element method (FEM) [13], the
boundary element method (BEM) [14], and their coupling procedures (BEM/FEM) [15, 16].
Dumont, "Numerical treatment of acoustic problems with the hybrid
Boundary Element Method," International Journal of Solids and Structures, vol.
to alleviate the problem in
boundary element method [6].
Among their topics are modeling multiple fatigue crack growth in heterogeneous structural systems using the dual
boundary element method, boundary integral methods in bio-electromagnetic and biomedical applications of electromagnetic fields, the high performance of local mesh-free methods with reduced integration, multi-domain singular boundary method for two-dimensional laminar viscous flow, and the implicit modeling of geological structures: a Cartesian grid method handling discontinuities with ghost points.
To reduce the number of prototypes and shorten design cycles, AAC applies a procedure to evaluate acoustic radiation from an engine block by applying structural FEA together with acoustical
boundary element analysis.