International Congress on Computational and Applied Mathematics edition:13 location:Gent date:7-11 July 2008
Metallic alloys are an important group of materials in industrial applications.The study of the microstructure evolution of these materials during manufacturing is of great technological importance, since many macroscopic material properties depend on the microstructure.
Phase-field modeling has shown to be a versatile tool for simulating microstructure evolution. However, the required computing time and computing memory of a multi-phase-field model pose limitations on a practical implementation. To be able to perform realistic multi-phase-field simulations, it is essential to look for robust, efficient solvers.
In this talk, we discuss the mathematical and computational aspects of the use of explicit and implicit discretization, applied to the multi-phase-field model. Furthermore, mathematical, computational and implementation aspects of a multigrid solver for the system of equations resulting from multi-phase-field models are addressed. Numerical results of simulations will be presented.