We investigate the phase-ordering dynamics of the incompressible Toner-Tu equation in three dimensions. We show that the phase ordering proceeds via defect merger events and the dynamics is controlled by the Reynolds number $\text{Re}$. At low $\text{Re}$, the dynamics is similar to that of the Ginzburg-Landau equation. At high $\text{Re}$, turbulence controls phase ordering. In particular, we observe a forward energy cascade from the coarsening length scale to the dissipation scale, clustering of defects, and multiscaling in velocity correlations.

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• Active defects
• Dry active matter