In this study, we examine the hypothesis that airflow noise can be reduced by adding metamaterials. The introduction of any obstacle will generate more disturbance in the airflow and therefore add noise. Hence an efficient metamaterial design is required, capable of reducing noise even at higher flow disturbance. In order to examine this hypothesis, we developed a platform to perform isogeometric aeroacoustic analyses to solve Navier stokes equations first. We obtained the velocity fields from fluid-structure analyses and utilized the light-hill analogy to calculate the noise generated as a result of airflow. Then the Helmholtz equation was solved to perform wave propagation analyses using the calculated flow-induced source of the noise. Hence, the disturbance due to the introduction of the metamaterial was included in the analyses. The fluid-structure analyses were performed for the unsteady, in-compressible Naiver–Stokes problem to estimate velocity and pressure fields. The assumptions made can be viewed as Lid-driven cavity flow. The pressure stabilization technique was used for the treatment of the incomprehensibility constraint for unsteady flow cases. Results are obtained for a benchmark lid-driven cavity flow. The results were compared with published numerical and experimental finite element analysis studies for validation.

Date of publication

Fall 11-17-2022

Document Type




Persistent identifier


Committee members

Thesis Chair: Tahsin Khajah, Ph.D. , Member: Nelson Fumo, Ph.D. , Member: Alwathiqbellah Ibrahim, Ph.D.


Master of Science in Mechanical Engineering