Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells

摘要: Abstract This work concerns the numerical solution of a coupled system self-consistent reaction–drift–diffusion–Poisson equations that describes macroscopic dynamics charge transport in photoelectrochemical (PEC) solar cells with reactive semiconductor and electrolyte interfaces. We present three algorithms, mainly based on mixed finite element local discontinuous Galerkin method for spatial discretization, carefully chosen fluxes, implicit–explicit time stepping techniques, solving time-dependent nonlinear systems partial differential equations. perform computational simulations under various model parameters to demonstrate performance proposed algorithms as well impact these model.