Thermal battery modeling is important for further battery development and optimization. The temperature strongly influences the performance and aging behavior. In the cell stack, electrochemical processes take place resulting in a large amount of heat release, which, in turn, affects the temperature distribution. Therefore, the main focus is on the cell stack, the most complex structure inside the cell. In particular, the discontinuous and anisotropic material properties represent a major challenge for simulations due to the layering. This work proposes self-developed methods, based on the Finite Volume Method and the Finite Element Method, taking on these challenges. First, for both methods the functionality is verified and numerical convergence is validated. These, and also classical methods, are compared based on test problems with a known analytical solution in view of numerical errors as well as computing time. It if found that their accuracy and efficiency depends strongly on the specific problem, which makes their numerical investigation necessary and inevitable. Second, the methods are evaluated on a specific battery problem. Their results are plausible and correspond to the physical phenomena.

中文翻译：

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锂离子电池热建模中的数值方法对温度分布和计算时间的影响

热电池建模对于进一步的电池开发和优化非常重要。温度对性能和老化行为有很大影响。在电池堆中，发生电化学过程会导致大量热量释放，进而影响温度分布。因此，主要关注的是电池堆，这是电池内部最复杂的结构。特别是，由于分层，不连续和各向异性的材料特性代表了模拟的主要挑战。这项工作提出了基于有限体积法和有限元法的自行开发的方法，以应对这些挑战。首先，对于这两种方法，功能得到验证并且数值收敛得到验证。这些，还有经典的方法，考虑到数值误差和计算时间，基于测试问题与已知解析解进行比较。如果发现它们的准确性和效率在很大程度上取决于具体问题，这使得它们的数值研究变得必要且不可避免。其次，针对特定的电池问题对这些方法进行了评估。他们的结果是合理的，并且符合物理现象。