A time-domain boundary element method using a kernel-function library for 3D acoustic problems

Gao，Zhenyu; Li，Zonglin; Liu，Yijun

2024-04-01

10.1016/j.enganabound.2024.01.001

Engineering Analysis with Boundary Elements   影响因子和分区

0955-7997

Time-domain boundary element method (TDBEM) can be applied in studying transient acoustic wave problems, especially in solving exterior problems. However, in order to avoid calculations of coefficients at different time steps, TDBEM usually requires storing or recomputing the coefficients at each time step. This can lead to significant amount of memory usage or long computing time. In this paper, an acoustic TDBEM based on a kernel-function library (KFL-BEM) is proposed, in order to reduce the memory consumption of the time-domain conventional BEM (CBEM) and speedup the computation. In this approach, the storage requirement is reduced from O(NN) to O(N), where N represents the number of degrees of freedom of the model, and N is the minimum number of time steps for which coefficients need to be computed and stored. To demonstrate the effectiveness of the KFL-BEM, two verification examples are presented using the problems of a pulsating sphere and sound propagating in a channel. Compared with the CBEM, the KFL-BEM can save significantly the memory storage as it does not require storing coefficients for any previous time steps. This method can also be applied to solve vibro-acoustic problems in the time domain. As an example, the acoustic radiation responses of a tuning fork under different striking loads are studied using the finite element method and the proposed KFL-BEM, which clearly shows the potentials of the KFL-BEM in solving time-domain acoustic problems.

3D acoustic problems Kernel-function library Time-domain boundary element method Transient response Tuning fork

SCI ; EI

英语

第一 ; 通讯

ENGINEERING

2-s2.0-85183452890

Scopus

Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,China

Gao，Zhenyu,Li，Zonglin,Liu，Yijun. A time-domain boundary element method using a kernel-function library for 3D acoustic problems[J]. Engineering Analysis with Boundary Elements,2024,161:103-112.

Gao，Zhenyu,Li，Zonglin,&Liu，Yijun.(2024).A time-domain boundary element method using a kernel-function library for 3D acoustic problems.Engineering Analysis with Boundary Elements,161,103-112.

Gao，Zhenyu,et al."A time-domain boundary element method using a kernel-function library for 3D acoustic problems".Engineering Analysis with Boundary Elements 161(2024):103-112.