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- W834910913 abstract "Numerical simulation of acoustic wave propagation often leads to the use of methods such as the finite element method (FEM) or boundary element method (BEM). Unfortunately, both exhibits some disadvantages. For example, in FEM, the mesh generation of the considered fluid volume may sometimes need several weeks. It has also been showed [1,2] that this method is subject to dispersion and pollution effects (the numerical wavelength is greater than the exact one), increasing the degrees of freedom required. In order to improve the simulation, we have formulated an other numerical method better suited to the acoustical problem: the Element-Free Galerkin Method (EFGM) with appropriate basis functions. The resulting shape functions are non-rational, they have a higher order of continuity than the FEM shape functions, allowing a better representation of oscillatory acoustic waves. Obviously, this method is particularly interesting in 3-D since it is meshless. One of the EFGM advantages is that the shape functions are customizable. Indeed, we can construct the base of the approximation with terms that are suited to the problem which has to be solved. Acoustical problems, in cavities Ω with boundary Γ, are governed by the Helmholtz equation" @default.
- W834910913 created "2016-06-24" @default.
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- W834910913 date "2001-01-01" @default.
- W834910913 modified "2023-09-27" @default.
- W834910913 title "Towards a multiscale Element-Free Galerkin formulation for acoustics" @default.
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