Numerical computation for magnetic Hele-Shaw problem using the method of fundamental solutions

抄録

We perform numerical calculations for the magnetic Hele-Shaw (HS) problem with a time-dependent gap using the method of fundamental solutions (MFS). In general, lifting the upper plate of an HS cell destabilizes the interface between the viscous fluid in the cell and the air surrounding it. We set the magnetic field generated by passing electric current, which is through at the center of the cell and perpendicular to the plate. Previous studies have suggested that the magnetic field suppresses interface instability between the magnetic fluid and air. We have succeeded in reproducing the suppression effect numerically using MFS.