Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors
作者机构：Technische Universitat ChemnitzFaculty of Mathematics09107 ChemnitzGermany Technische Universitat ChemnitzDepartment of Physics09126 ChemnitzGermany Interdisciplinary Center for Scientific ComputingHeidelberg University69120 HeidelbergGermany Durham UniversityDepartment of EngineeringDurhamUK
出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)
年 卷 期：2023年第33卷第6期
页 面：1-17页
核心收录：
学科分类：07[理学] 0701[理学-数学] 0702[理学-物理学]
基 金：the Deutsche Forschungsgemeinschaft(DFG)for funding this work(Research Unit FOR 5387 POPULAR Project No.461909888).
主 题：Preconditioning phase-field models organic solar cells Cahn-Hilliard finite element analysis
摘 要：The Cahn–Hilliard equations are a versatile model for describing the evolution of complex morphologies.In this paper we present a computational pipeline for the numerical solution of a ternary phase-field model for describing the nanomorphology of donor–acceptor semiconductor blends used in organic photovoltaic devices.The model consists of two coupled fourth-order partial differential equations that are discretized using a finite element approach.In order to solve the resulting large-scale linear systems efficiently,we propose a preconditioning strategy that is based on efficient approximations of the Schur-complement of a saddle point system.We show that this approach performs robustly with respect to variations in the discretization parameters.Finally,we outline that the computed morphologies can be used for the computation of charge generation,recombination,and transport in organic solar cells.
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