  In this dissertation, we seek to expand the scope of work done by Lustri and
Chapman (2013) in modelling 3D flow past a point source, in order to account
for more general flows, where the strength of such a source, $\delta$, is now
$O(1)$. We find that in order to solve for the Stokes surfaces of this
nonlinear system, we must develop a numerical scheme to shoot from the
analytically continued free surface into real space. The principal contribution
of this work is a demonstration of the disparity between the line of
intersection found by Lustri and Chapman (2013) and that found by our own
nonlinear numerical method, along with proposed extensions for further avenues
of research e.g. including surface tension.
