연사: 김준석 교수
제목:"Mathematical modeling and numerical analysis of multi-component flows using phase field models"
일시: 2007.7.24(화), 16:30
장소: 자연과학동 세미나실(2411호)
Abstract.
We consider a numerical method, so called an unconditionally gradient stable adaptive mesh refinement scheme, for solving the Cahn-Hilliard equation representing a model of phase separation in a binary mixture. The continuous problem has the decreasing property of the total energy. We show the same property for the corresponding discrete problem by using eigenvalues of the Hessian matrix of the energy functional. An unconditionally gradient stable time discretization is used to remove the high-order time step constraints. Adaptive mesh refinement is used to highly resolve narrow interfacial layers