ABSTRACT

The space-time Conservation Element Solution Element (CE/SE) method is used to solve the 1D unsteady equation of thermal diffusion in a multilayer material, with application to thermal batteries. A conservative form of the equation is derived and solved using the CE/SE method. At the interface between the layers, local thermodynamics properties are discontinuous. Their spatial derivatives are calculated using central differences scheme. First, a material with two layers is simulated. The results show a very good agreement with analytical and COMSOL Multiphysics^ő calculations, and the Fourier Number Insensitivity property is validated, even for values beyond the 0.5 stability criterium. In a second test, a material stack representative of a thermal battery is considered. Obtained results are also very close to the COMSOL simulations.

摘要

时空守恒元求解元 (CE/SE) 方法用于求解多层材料中热扩散的一维非定常方程，并应用于热电池。使用 CE/SE 方法导出和求解方程的保守形式。在层之间的界面处，局部热力学特性是不连续的。它们的空间导数是使用中心差异方案计算的。首先，模拟具有两层的材料。结果表明，分析和 COMSOL Multiphysics 的结果非常吻合^ő计算，并且验证了傅立叶数不敏感性属性，即使是对于超过 0.5 稳定性标准的值。在第二个测试中，考虑代表热电池的材料堆叠。获得的结果也非常接近 COMSOL 仿真。