DNS of 3D Compressible, Homogeneous and Isotropic Turbulence

H. Miura (2005) Advances in Turbulence (Proceedings of the 10th European Turbulence Conference, Norway, 2004) p.115-119.

H. Miura (2004) J. Turbulence Vol. 5 (2004) pp.1-22

H. Miura (2002) Comp. Phys. Comm. Vol.147 (2002) pp.552-555

Images: waves along vortices in a weakly compressible isotropic turbulence

In 1024^3 DNS of weakly compressible turbulence, Kelvein-wave-like waves vortices are found.

• Fig1. Enstrophy density isosurfaces.

• Fig.2 Low-pressure vortex axes visualized with the enstrophy density isosurfaces.

• Fig.3 Vortex axes and isosurfaces of the sound sources (Lighthill's acoustic analogy).

• Fig.4 Waves along vortex axes. (a) compressible vortex axis and (b) incompressible vortex axis.

• Fig.5 Dispersion relation of the waves on compressible vortex axes.

H. Miura (1996)

Images:a head-on collision of two shock waves

By a shock-shock collision, pairs of strong vortices are generated behind each curved shocks.

• Gray surfraces : shocks (regions with large negative dilatation)

• Blue, Orange or Red surfraces : vortices (enstrophy density with large values)

• Black arrows: shocks are traveling in the direction of these arrows

• Blue arrows : direction of vorticity

• Orange (or Red) arrows : direction of vorticity

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