Speaker
Description
Partial differential equations are used to model the morphological evolution of printed organic solar cells, capturing the underlying complex processes. In this talk, we present a Cahn-Hilliard model that describes the dynamics of a polymer, a non-fullerene acceptor, and a solvent, coupled to the Navier-Stokes equations for the fluid's macroscopic motion. To account for solvent evaporation, we incorporate an Allen-Cahn equation into the framework. We discretize the model using a finite-element method with a semi-implicit time-stepping scheme. The resulting (non)linear systems are large-scale and tightly coupled, posing significant computational challenges. We propose a preconditioned iterative scheme that solves these coupled equations efficiently and is robust to variations in discretization parameters. Numerical experiments demonstrate the efficiency of the model and the proposed methodology through several numerical examples.
