Influence of the Position of Artificial Boundary on Computation Accuracy of Conjugated Infinite Element for a Finite Len
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ORIGINAL PAPER
Influence of the Position of Artificial Boundary on Computation Accuracy of Conjugated Infinite Element for a Finite Length Cylindrical Shell Zhenwei Huang1,3 · Han Zheng2 · Liang Guo2 · Dengyuan Mo3 Received: 29 October 2019 / Accepted: 8 January 2020 © Australian Acoustical Society 2020
Abstract Structural finite element coupled with the conjugated infinite element method is an efficient numerical technique for solving the acoustic radiation problem due to the vibration of underwater objects. However, for large complex structures, the total acoustic mesh would become very large if the artificial boundary is too far away from the structural wetted surface. Thus, the calculation time can become too long to confine the application of the conjugated infinite element method. On the other hand, if the artificial boundary is close to the structural wetted surface, it will lead to computation accuracy losing due to the near-field effects. Consequently, it is essential to present some guidelines based on the physical mechanism of structural acoustics to choose a suitable artificial boundary that optimizes calculation accuracy and efficiency. In present work, the evanescent wave theory of an infinite length cylindrical shell is adopted to theoretically analyze the decay characteristic of evanescent waves in near field. Then, the effect of the position of artificial boundary on computation accuracy of conjugated infinite element for a finite length ring-stiffened cylindrical shell is numerically investigated. Results suggested that for the cylindrical shell mentioned in this study, the artificial boundary can be placed at least 0.4 times the acoustic wavelength away from the structural wetted surface. What’s more, for high frequencies or large-scale structures, the required non-dimensional distance between the artificial boundary and the structural wetted surface increases. Keywords Conjugated infinite element · Artificial boundary · Acoustic radiation · Evanescent wave
1 Introduction Structural finite element coupled with fluid infinite element method has shown outstanding computation efficiency over the traditional boundary element method, drawing interest from many researchers [1–4]. Infinite elements (IE) for wave problems were first proposed by Bettess and Zienkiewicz [5]. The subsequent development of the IE method was described in Bettess’ monograph [6], Astley’s review papers * Liang Guo [email protected] * Dengyuan Mo [email protected] 1
State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China
2
Naval Research Academy, Beijing 100071, China
3
Metal Rubber Engineering Research Center, Fuzhou University, Fuzhou 350116, China
[7, 8] and Bianchi’s review article [9]. In the 1990s, Burnett [10] developed a radically new formulation for infinite elements for modeling scattering and radiation from structures in unbounded domains. Academia and industry called it a “revolution” in computational acoustics. In 2017, Burnett [11] described a new Researc
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