  Various methods for numerically solving Stokes Flow, where a small Reynolds
number is assumed to be zero, are investigated. If pressure, horizontal
velocity, and vertical velocity can be decoupled into three different
equations, the numerical solution can be obtained with significantly less
computation cost than when compared to solving a fully coupled system. Two
existing methods for numerically solving Stokes Flow are explored: One where
the variables can be decoupled and one where they cannot. The existing
decoupling method the limitation that the viscosity must be spatially constant.
A new method is introduced where the variables are decoupled without the
viscosity limitation. This has potential applications in the modeling of red
blood cells as vesicles to assist in storage techniques that do not require
extreme temperatures, such as those needed for cyropreservation.
