Some numerical methods for the Hele-Shaw equations (Q1326716)

We implement the method of Tryggvason and Aref but use the point vortex method instead of the vortex-in-cell method. A parametric spline is used to represent the interface. We conclude that the method of Tryggvasson and Aref can provide excellent results but that the vortex-in-cell method may not be the method of choice for extreme values of the surface tension parameter. In the second method, we represent the interface with a Fourier representation. In addition, an alternative way of discretizing the boundary integral is used.