The 3D ES-FEM using tetrahedral mesh proposed recently has showed many great features in mechanics, and mid-frequency acoustics analysis, such as kh≈1. When it comes to higher frequencies, the 3D ES-FEM also encounters the dispersion error, which is related to “slightly overly-soft stiffness” induced by the excessive edge-based smoothing operations compared to the continua system. In this paper, an improved 3D edge-based smoothed finite element method (IES-FEM) is proposed by introducing a parameter controlling the ratio of “slightly over-softness” of the ES-FEM and “over-stiffness” of the FEM, and the balance of the discretized system can then be tuned to reduce the dispersion error in higher frequency range, i.e. 1≤kh≤2. Numerical results demonstrate the advantages of IES-FEM for acoustic problems, in comparison with the ES-FEM using the same mesh.
|Title of host publication||The 6th International Conference on Computational Methods (ICCM2015)|
|Publication status||Published - 2015|
|Event||The 6th International Conference on Computational Methods - Auckland, New Zealand|
Duration: 14 Jul 2015 → 17 Jul 2015
Conference number: 6
|Conference||The 6th International Conference on Computational Methods|
|Period||14/07/15 → 17/07/15|