| Abstract Scope |
Spectral and Pseudo-spectral methods are widely used in the mesoscale modeling space due to their ease of implementation. However, when a critical drawback of these methods is the types of applicable boundary conditions usable with spectral methods, therefore requiring the researcher to turn toward computationally costly solvers such as Finite Element or Finite Difference with non-periodic, inhomogeneous boundary conditions are considered. During this talk a process for solving inhomogeneous boundary condition problems with spectral methods is described and used to solve complex material microstructure problems, such as directional dendritic growth in eutectic binary alloys, while considering heat transfer and other pertinent physics. Therefore, a pathway to efficient material microstructure modeling with spectral methods is showcased for future adoption. |