151. An equivalent fluid model based finite-difference time-domain algorithm for sound propagation in porous material with rigid frame
- Author
-
Xiaolin Wang, Ming Bao, Shinichi Sakamoto, Hyojin Lee, and Jing Zhao
- Subjects
Bulk modulus ,Materials science ,Acoustics and Ultrasonics ,Rigid frame ,Mathematical analysis ,Z-transform ,Wave equation ,01 natural sciences ,03 medical and health sciences ,0302 clinical medicine ,Arts and Humanities (miscellaneous) ,Frequency domain ,0103 physical sciences ,030223 otorhinolaryngology ,Porous medium ,010301 acoustics ,Elastic modulus ,Infinite impulse response - Abstract
An equivalent fluid model based finite-difference time-domain algorithm is proposed to simulate the frequency characteristic of porous material with rigid frame. The rigid-frame porous material is replaced by an equivalent fluid characterized by the effective density and the effective bulk modulus, which reflect the viscous effects and thermal effects in the porous material, respectively. The effective density and the effective bulk modulus are frequency-dependent complex values, which are designed in the form of infinite impulse response filters in the frequency domain. The Z transform theory is used to discretize the frequency-domain wave equations. The accuracy of the proposed algorithm is preliminarily validated by good agreement between the calculated and measured normal-incidence sound absorption coefficients of two samples composed of different multiple-layered materials in a wide frequency range.
- Published
- 2018