전자장시스템에서 Level Set Method

We discuss a numerical algorithm for approximating the dynamics of moving curves and surfaces, called the Level-Set Method. This method allows us to write a program to predict the evolution of a propagating surface when the forces of propagation are known. Using the level-set method, we then create an easily coded numerical model of a disclination loop in the nematic liquid crystal 8CB (4, 4′-n-octylcynobiphenyl), a classic example of curvature-driven motion of a curve. We then discuss the first-order implementation of this numerical model and the various ways it may be improved.