i figured it out, navier-stokes requires quaternions for it to spit out reliable results, you have to use the deltas of x, y, z and w(or it causes confusion with the w parameter of u itself you can use ampersand & given that that it was the 27th letter of the english alphabet at one point, that or use ñ or ç, whatever floats your boat) axises out of the u parameter.
since the parameters of u are u=x, v=y and w=z, i recommend the use of the letter wynn of the ?=w axis(since triple-u does not exist)