A large eddy simulation approach to numerical simulation of acoustic field formed by jet injection into a cross flow

Jet injection into a cross flow is a highly applicable problem which has been analyzed and studied in different scientific and engineering research fields. A significant problem which has attracted less attention is sound generation of jet injection flow. So flow and acoustic fields of this problem is studied by a two-dimensional large eddy simulation approach and the Smagorinsky model. This study was conducted for three different velocity ratios at constant jet Reynolds number. Spatial temporal discretizations were performed using the sixth order compact and the fourth order Runge-Kutta methods, respectively. Code verification was performed using several different problems and the obtained results were compared with the available numerical and experimental results. Main dominant frequencies of the acoustic field were obtained and investigated by applying the pressure history Fourier transform at different locations upstream and downstream of the jet. A multi-mode rather than a single-mode acoustic field was observed. In addition, various modes are activated and inactivated at different time intervals. Also, by varying the ratio of jet velocity to cross flow velocity, the sound generation mechanism and the non-dimensional frequencies that dominate the acoustic field change as well.