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Effect of compressibility on the merging of shielded vortices

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The effect of compressibility on the critical merging distance of two co-rotating shielded vortices is studied using numerical simulations of two dimensional Euler equations. The simulations were carried out using a combination of sixth order compact finite differencing scheme, a tenth order compact filtering scheme and the classical Runge-Kutta scheme. Characteristic non-reflecting boundary conditions were applied on the domain boundaries. The results have revealed that the critical merging distance decreases as the vortex Mach number is increased.

Author(s):

Ravindra Shende    
Indian Institute of Technology Madras
India

Sameen A.    
Indian Institute of Technology Madras
India