Three-dimensional supersonic homogeneous turbulence - A numerical study

Statistics – Computation

Scientific paper

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Computational Fluid Dynamics, Homogeneous Turbulence, Supersonic Flow, Three Dimensional Flow, Compressible Flow, Ideal Gas, Shock Wave Propagation

Scientific paper

A turbulent homogeneous perfect gas with no forcing is computed using the piecewise-parabolic method on a uniform grid of 256 cubed zones. The initial rms Mach number is one. The main results are: (1) the persistence of a quasi-supersonic phase with strong density contrasts over several shock-formation times; (2) the late appearance of a postsupersonic self-similarly decaying regime in which the total velocity spectrum varies with wave number as k exp -1; and (3) both shock curvature and velocity gradients are important mechanisms of vorticity production in the first half of the supersonic phase.

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