Improved edge-based smoothed finite element method (IES-FEM) for Mid-frequency acoustic analysis

Z. C. He; G. Y. Li; Quan Bing Eric Li; G. Y. Zhang; Xin Nie

Improved edge-based smoothed finite element method (IES-FEM) for Mid-frequency acoustic analysis

Z. C. He, G. Y. Li, Quan Bing Eric Li, G. Y. Zhang, Xin Nie

SCEDT Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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.

Original language	English
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

Conference	The 6th International Conference on Computational Methods
Abbreviated title	ICCM2015
Country/Territory	New Zealand
City	Auckland
Period	14/07/15 → 17/07/15

Cite this

@inproceedings{a6e705459dbe4597994363873ff34058,

title = "Improved edge-based smoothed finite element method (IES-FEM) for Mid-frequency acoustic analysis",

abstract = "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.",

author = "He, {Z. C.} and Li, {G. Y.} and Li, {Quan Bing Eric} and Zhang, {G. Y.} and Xin Nie",

year = "2015",

language = "English",

booktitle = "The 6th International Conference on Computational Methods (ICCM2015)",

note = "The 6th International Conference on Computational Methods , ICCM2015 ; Conference date: 14-07-2015 Through 17-07-2015",

}

TY - GEN

T1 - Improved edge-based smoothed finite element method (IES-FEM) for Mid-frequency acoustic analysis

AU - He, Z. C.

AU - Li, G. Y.

AU - Li, Quan Bing Eric

AU - Zhang, G. Y.

AU - Nie, Xin

N1 - Conference code: 6

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

M3 - Conference contribution

BT - The 6th International Conference on Computational Methods (ICCM2015)

T2 - The 6th International Conference on Computational Methods

Y2 - 14 July 2015 through 17 July 2015

ER -

Improved edge-based smoothed finite element method (IES-FEM) for Mid-frequency acoustic analysis

Abstract

Conference

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