Note on helicity balance of the Galerkin method for the 3D NavierStokes equations
We study the helicity balance of the Galerkin method for the 3D NavierStokes equations, and show that although it does not appear to correctly balance helicity in the usual sense, it instead admits a slightly altered helicity balance that matches that of the underlying physics, up to boundary conditions.
galerkin method navierstokes equations helicity conservation