  Various active materials exhibit strong spatio-temporal variability of their
orientational order known as active turbulence, characterised by irregular and
chaotic motion of topological defects, including colloidal suspensions,
biofilaments, and bacterial colonies.In particular in three dimensions, it has
not yet been explored how active turbulence responds to changes in material
parameters and chirality.Here, we present a numerical study of
three-dimensional (3D) active nematic turbulence, examining the influence of
main material constants: (i) the flow-alignment viscosity, (ii) the magnitude
and anisotropy of elastic deformation modes (elastic constants), and (iii) the
chirality. Specifically, this main parameter space covers contractile or
extensile, flow-aligning or flow tumbling, chiral or achiral elastically
anisotropic active nematic fluids. The results are presented using time- and
space-averaged fields of defect density and mean square velocity. The results
also discuss defect density and mean square velocity as possible effective
order parameters in chiral active nematics, distinguishing two chiral nematic
states -- active nematic blue phase and chiral active turbulence. This research
contributes to the understanding of active turbulence, providing a numerical
main phase space parameter sweep to help guide future experimental design and
use of active materials.
