Abstract
An advanced time approach of Ffowcs Williams-Hawkings (FW-H) acoustic analogy is developed, and the integral equations and integral solution of FW-H acoustic analogy are derived. Compared with the retarded time approach, the transcendental equation need not to be solved in the advanced time approach, on the other hand, computational cost can be saved using the approach due to no demand of pre-storing lots of aerodynamic data. To further validate the efficiency of the advanced time approach for predicting noise, unsteady flow fields are firstly simulated for air around square cylinder and NACA0012 airfoil, then unsteady calculations are used as input for FW-H equations, and numerical predictions are made for noise induced by vortex shedding of square cylinder and NACA0012 airfoil using the advanced time approach. Finally, the retarded time approach and the advanced time approach are compared.
| Original language | English |
|---|---|
| Journal | Nanjing Hangkong Hangtian Daxue Xuebao |
| Volume | 45 |
| Issue number | 6 |
| Pages (from-to) | 807-812 |
| Number of pages | 6 |
| ISSN | 1005-2615 |
| Publication status | Published - 2013 |
Keywords
- INTEGRAL equations
- FW-H equations
- Acoustic analogy method
- Retarded time approach
- Advanced time approach