  In this paper we study approximations to 3D Navier-Stokes (NS) equation
driven by space-time white noise by paracontrolled distribution proposed in
[GIP13]. A solution theory for this equation has been developed recently in
[ZZ14] based on regularity structure theory and paracontrolled distribution. In
order to make the approximating equation converge to 3D NS equation driven by
space-time white noise, we should subtract some drift terms in approximating
equations. These drift terms, which come from renormalizations in the solution
theory, converge to the solution multiplied by some constant depending on
approximations.
