Advanced Time Approach of FW-H Equations for Predicting Noise

Si Haiqing, Shi Yan, Wen Zhong Shen, Wu Xiaojun

    Research output: Contribution to journalJournal articleResearchpeer-review


    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 languageEnglish
    JournalNanjing Hangkong Hangtian Daxue Xuebao
    Issue number6
    Pages (from-to)807-812
    Number of pages6
    Publication statusPublished - 2013


    • INTEGRAL equations
    • FW-H equations
    • Acoustic analogy method
    • Retarded time approach
    • Advanced time approach


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