Non-Lyapunov Type Stability in a Model of the Dewetted Bridgman Crystal Growth Under Zero Gravity Conditions

A numerical model has been developed based on a mass conservation level set algorithm considering a wall adhesion to predict the surface motion for a single and double dam break problems. The simulation for the single dam break shows that the wall adhesion force can be introduced through contact angle by modifying the level set function on the boundary in the level set method, and the magnitude of the contact angle has an effect on the moving location of the leading front of water–gas system. Moreover, the simulation for the double dam break presents clearly the processes of coalescence and break up of the free surface.