有机电化学晶体管瞬态多物理场模拟的不连续伽辽金格式

Ming Dong, Liang Chen, H. Bağcı
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引用次数: 0

摘要

提出了一种基于时域不连续伽辽金(DGTD)的三维有机电化学晶体管分析框架。提出的框架使用局部DG格式在空间上离散泊松方程(电势)和漂移扩散方程(电荷密度)的(非线性)耦合系统。为了减少计算量,采用双网格方案,即DD方程采用密集网格,泊松方程采用粗网格。此外,隐式显式时间积分方案允许更大的时间步长,可以有效地解释oect的极长响应时间。数值结果验证了所提求解方法的适用性和准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Discontinuous Galerkin Scheme for Transient Multiphysics Simulation of Organic Electrochemical Transistors
A time domain discontinuous Galerkin (DGTD)-based framework is developed to analyze three-dimensional organic electrochemical transistors (OECTs). The proposed framework uses a local DG scheme to discretize the (non-linearly) coupled system of the Poisson equation (in electric potential) and the drift-diffusion (DD) equations (in charge densities) in space. To reduce the computational requirements, a dual-mesh scheme, which uses a dense mesh for the DD equations and a much coarser mesh for the Poisson equation, is used. Furthermore, an implicit-explicit time integration scheme, which allows for a significantly larger time-step size, is utilized to efficiently account for the extremely long response time of OECTs. Numerical results are provided to demonstrate the applicability and accuracy of the proposed solver.
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