A numerical method for tracking curve networks moving with curvature motion
The authors present numerical simulations for the motion of phase boundaries in two-dimensional physical systems with several phases, such as grain growth in crystalline structures, lamellar eutectic growth and volume preserving mean curvature flow for binary mixtures. A finite difference method is proposed to track curves whose normal velocity is given by their curvature and which meet at different types of junctions. A linear stability analysis is presented for the scheme.
scientific article; zbMATH DE number 819431