  Hele-Shaw flows with time-dependent gaps create fingering patterns, and
magnetic fluids in Hele-Shaw cells create intriguing patterns.We propose a
simple numerical method for Hele-Shaw type problems by the method of
fundamental solutions.The method of fundamental solutions is one of the
mesh-free numerical solvers for potential problems, which provides a highly
accurate approximate solution despite its simplicity.Moreover, combining with
the asymptotic uniform distribution method, the numerical method satisfies the
volume-preserving property.We use Amano's method to arrange the singular points
in the method of fundamental solutions.We show several numerical results to
exemplify the effectiveness of our numerical scheme.
