In:
International Journal of Computational Methods, World Scientific Pub Co Pte Ltd, Vol. 19, No. 09 ( 2022-11)
Abstract:
Due to the “overly-stiff” nature, it has been proved that the finite element method (FEM) is inevitable to suffer from the dispersion error when solving mid-frequency acoustic problems. In order to overcome this defect, in this study, a novel virtual node selection scheme of changing the virtual node’s position with a parameter is proposed, which is used to construct the condensed shape function of the cell-based radial point interpolation method (CS-RPIM) to soften the stiffness of discrete model. Based on the generalized gradient smoothing technique (GGST) and the condensed shape function technique, the present method provides a “close-to-exact” stiffness for discrete system model, which controls the dispersion error from the root. Several numerical examples have been researched to verify the performance of the proposed method in mid-frequency acoustic simulations. Moreover, with the excellent robustness, the present method lays a good foundation for solving complex practical engineering problems.
Type of Medium:
Online Resource
ISSN:
0219-8762
,
1793-6969
DOI:
10.1142/S0219876222500153
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2022
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