Abstract

Accurate initial conditions based on a 2D temporal self-similarity hypothesis are developed for the direct numerical simulation of compressible binary free shear layers with high density ratio. Sample results illustrate effects of density ratio, convective Mach number and free streams temperature on the similarity solution. Direct numerical simulation of a stiff test case (density ratio ∼ 32) shows how the amplitude of early acoustic waves is strongly reduced, with regards to those generated by classical analytical distributions of velocity, temperature and mass fractions. Hence, stable simulations using higher order centered schemes can be achieved for a reasonable number of grid points, even at moderate Reynolds number.

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