标题： 高阶瞬态多维模拟用于锂离子电池的热-电-化-力学模型 显示英文标题

标题： High-order transient multidimensional simulation of a thermo-electro-chemo-mechanical model for Lithium-ion batteries

摘要： 我们基于连续介质理论构建了一个瞬态多维多物理场模型，涉及锂离子电池放电或充电过程中同时发生的耦合机械、热和电化学现象。 该过程产生了一组耦合的非线性偏微分方程。 除了初始和边界条件，我们强调了电极-电解质界面条件的处理，该条件对应于 Butler-Volmer 反应动力学方程。 我们给出了模型强形式和弱形式的推导，以及空间和时间上的离散化过程。 离散化的模型通过有限元方法在二维上进行计算求解，该方法采用$hp$层状网格，并结合交错的二阶半隐式时间积分。 预期的误差估计在空间和时间上都优于任何其他类似工作。 对不同操作场景下的代表性电池单元几何结构进行了模拟。 数值结果表明，与仅关注电化学耦合的情况相比，完整模型能够提供重要的额外见解。 考虑到随着施加电流的增加，多物理场变得更为重要，无论是放电还是充电。 我们的完整模型为电池设计专业人员提供了一个有价值的工具，以优化设计并推动储能行业的发展。 显示英文摘要

摘要： We build a transient multidimensional multiphysical model based on continuum theories, involving the coupled mechanical, thermal and electrochemical phenomena occurring simultaneously in the discharge or charge of lithium-ion batteries. The process delivers a system of coupled nonlinear partial differential equations. Besides initial and boundary conditions, we highlight the treatment of the electrode-electrolyte interface condition, which corresponds to a Butler-Volmer reaction kinetics equation. We present the derivation of the strong and weak forms of the model, as well as the discretization procedure in space and in time. The discretized model is computationally solved in two dimensions by means of a finite element method that employs $hp$ layered meshes, along with staggered second order semi-implicit time integration. The expected error estimate is of higher order than any other similar work, both in space and in time. A representative battery cell geometry, under distinct operating scenarios, is simulated. The numerical results show that the full model allows for important additional insights to be drawn than when caring only for the electrochemical coupling. Considering the multiphysics becomes more important as the applied current is increased, whether for discharge or for charge. Our full model provides battery design professionals with a valuable tool to optimize designs and advance the energy storage industry.