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

Abstract

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

References in corpus (1)

• Hybrid approaches for multiple-species stochastic reaction-diffusion models

Cited by in corpus (4)

• Steady-state Simulation of Semiconductor Devices using Discontinuous Galerkin Methods
• An implicit boundary integral method for computing electric potential of macromolecules in solvent
• Multiphysics Simulation of Plasmonic Photoconductive Devices using Discontinuous Galerkin Methods
• Analysis of Screening Effects on Terahertz Photoconductive Devices using a Fully-Coupled Multiphysics Approach