论文标题
可充电锂金属电池中的树突形成:使用开源有限元库进行相田间建模
Dendrite formation in rechargeable lithium-metal batteries: Phase-field modeling using open-source finite element library
论文作者
论文摘要
我们描述了用于在金属轴电池内形成树突的电沉积过程的相位场模型。我们得出了自由能功能模型,该模型到达了一个偏微分方程系统的系统,这些方程描述了相位场的演变,锂离子浓度和电势。我们使用开源有限元库在电池电荷周期中描述,描述耦合的电化学相互作用的部分微分方程的集合。开源库允许我们使用并行求解器和时间构建适应性。我们描述了二维和三维模拟;这些模拟与文献中报道的实验观察到的树突生长速率和形态相符。
We describe a phase-field model for the electrodeposition process that forms dendrites within metal-anode batteries. We derive the free energy functional model, arriving at a system of partial differential equations that describe the evolution of a phase field, the lithium-ion concentration, and an electric potential. We formulate, discretize, and solve the set of partial differential equations describing the coupled electrochemical interactions during a battery charge cycle using an open-source finite element library. The open-source library allows us to use parallel solvers and time-marching adaptivity. We describe two- and three-dimensional simulations; these simulations agree with experimentally-observed dendrite growth rates and morphologies reported in the literature.