Direct Modeling of the Interaction Between Vortex Pairs

摘要

This work is devoted to the numerical modeling oft he conjugate problem on the dynamics of two vortex pairs and calculation of the acoustic field generation at Reynolds numbers Re = 5000-10000 on a fixed Eulerian grid. The computation was based on the CABARET scheme. For the main characteristics of integrated solutions, such as the slip period of vortex pails and the velocity of their center of mass, a comparison is presented with the analytical solution obtained for the case of point vortices in an ideal fluid. The sensitivity of the obtained numerical solutions to the grid refinement was studied including both the hydrodynamic near field and instantaneous and root-mean-square acoustic pulsations.