A monolithic, mortar‐based interface coupling and solution scheme for finite element simulations of lithium‐ion cells

机译：锂离子电池有限元模拟的基于整体的基于砂浆的界面耦合和解决方案

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Summary >This work introduces a novel, mortar‐based coupling scheme for electrode‐electrolyte interfaces in 3‐dimensional finite element models for lithium‐ion cells and similar electrochemical systems. The coupling scheme incorporates the widely applied Butler‐Volmer charge transfer kinetics, but conceptually also works for other interface equations. Unlike conventional approaches, the coupling scheme allows flexible mesh generation for the electrode and electrolyte phases with nonmatching meshes at electrode‐electrolyte interfaces. As a result, the desired spatial mesh resolution in each phase and the resulting computational effort can be easily controlled, leading to improved efficiency. All governing equations are solved in a monolithic fashion as a holistic, unified system of linear equations for computational robustness and performance reasons. Consistency and optimal convergence behavior of the coupling scheme are demonstrated in elementary numerical tests, and the discharge of two different realistic lithium‐ion cells, each consisting of an anode, a cathode, and an electrolyte, is also simulated. One of the two cells involves about 1.35 million degrees of freedom and very complex microstructural geometries obtained from X‐ray tomography data. For validation purposes, characteristic numerical results from the literature are reproduced, and the coupling scheme is shown to require considerably fewer degrees of freedom than a standard discretization with matching interface meshes to achieve a similar level of accuracy. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract XMLNS =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”xml：id =“nme5792-abs-abs-abs-0001”> <标题类型=“main” >概述</标题> >本工作引入了用于锂离子电池三维有限元模型中的电极电解质界面的新型基于砂浆基耦合方案和类似的电化学系统。耦合方案包括广泛应用的管家 - 活力电荷动力学，但概念上也适用于其他界面方程。与传统方法不同，耦合方案允许在电极 - 电解质接口处具有非匹配网格的电极和电解质相的柔性网格产生。结果，可以容易地控制每个阶段中所需的空间网格分辨率和所得到的计算工作，从而提高效率。所有控制方程都以整体的方式解决，作为整体，统一的线性方程系统，用于计算稳健性和性能原因。在基本数值测试中，耦合方案的一致性和最佳收敛行为在基本的数值测试中进行了证明，并且还模拟了由阳极，阴极和电解质组成的两个不同的现实锂离子电池的排出。其中一个单元中的一个涉及从X射线断层扫描数据获得的约135百万度的自由度和非常复杂的微观结构几何形状。为了验证目的，再现来自文献的特征数值结果，并且耦合方案被示出了比具有匹配接口网格的标准离散化的自由度相当较少，以实现类似的精度水平。</ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-20801/'>《International Journal for Numerical Methods in Engineering》</a> <b style="margin: 0 2px;">|</b><span>2018年第13期</span><b style="margin: 0 2px;">|</b><span>共27页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fang Rui&option=202" target="_blank" rel="nofollow">Fang Rui;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Farah Philipp&option=202" target="_blank" rel="nofollow">Farah Philipp;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Popp Alexander&option=202" target="_blank" rel="nofollow">Popp Alexander;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wall Wolfgang A.&option=202" target="_blank" rel="nofollow">Wall Wolfgang A.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Institute for Computational MechanicsTechnical University of MunichMunich Germany;</p> <p>Institute for Computational MechanicsTechnical University of MunichMunich Germany;</p> <p>Institute for Computational MechanicsTechnical University of MunichMunich Germany;</p> <p>Institute for Computational MechanicsTechnical University of MunichMunich Germany;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/6940.html" title="工程数学">工程数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Butler‐Volmer kinetics&option=203" rel="nofollow">Butler‐Volmer kinetics;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=coupled electrochemical simulation&option=203" rel="nofollow">coupled electrochemical simulation;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=electrode‐electrolyte interface&option=203" rel="nofollow">electrode‐electrolyte interface;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=monolithic coupling&option=203" rel="nofollow">monolithic coupling;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=mortar‐based finite element method&option=203" rel="nofollow">mortar‐based finite element method;</a> </p> <div class="translation"> 机译：Butler-Volmer动力学;耦合电化学仿真;电极 - 电解质界面;单片耦合;基于砂浆的有限元法; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li 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