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Numerical solutions of adjoint Green’s function for complex geometries
Author(s): XU Xi-hai, LI Xiao-dong, HU Fang-qiang, School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Department of Mathematics and Statistics, Old Dominion University
Pages: 927-
933
Year: 2016
Issue:
4
Journal: Journal of Aerospace Power
Keyword: adjoint Green’s function; computational aeroacoustic; immersed boundary method; jet noise; perfect matched boundary layer;
Abstract: In order to simplify the grid generation during aerodynamic noise prediction,the computational aeroacoustic(CAA)method and immersed boundary method(IBM)were combined together to solve the adjoint Green’s function.According to the basic formulation of adjoint Green’s function,a special case of cylindrical acoustic scattering problem was designed.The comparison between the numerical results and the analytical solutions prove that the numerical methods used are reliable and feasible for the calculation of adjoint Green’s function for problems with complex geometries.Finally,the combined numerical methods were used to solve the adjoint Green’s function of the jet flow from a nozzle with chevron and pylon interaction.Result shows that,because of the scattering effect caused by jet flow shear layer,the distribution of adjoint Green’s function in jet flow is uneven,and the maximum value is 3times higher than the minimum value.This simulation results reveal the relative importance of different regions with the same sound intensity to the far field noise.Therefore,low noise nozzle design can focus on reducing the sound intensity in the larger area of Green’s function.
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