Research Note: Numerical Simulation of velocity field of two dimensional forced shear layer using the vortex element method

In the presented work, the lagrangian grid-free vortex element method is used for flow simulation in forced shear layer. Growth rate of instability and eddy formation is well simulated. Also, effect of eddy formation, pairing and the interaction among them are studied. In an unforced shear layer the growth rate is linear depending on the biggest instable frequency but in the forced shear layer other frequencies are taken part. The most important frequency is the forced frequency among other frequencies and the instability growth rate is no longer linear. The results show that the instability would accelerate due to increase of velocity ratio. The wavelength effect is well studied on the instability and is in good agreement with the experimental data.