论文标题
散射矩阵形式主义，以模拟分层固体培养基中的周期性热扩散
A Scattering Matrix Formalism to Model Periodic Heat Diffusion in Stratified Solid Media
论文作者
论文摘要
转移矩阵形式主义被广泛用于建模分层结构中的热量扩散。到固有的数值不稳定性问题，该问题尚未引起足够的关注传热社区，这种形式主义在高加热频率和/或厚结构中失败。受其在模拟波传播中的成功启发的启发，我们开发了一个数字稳定的散射矩阵框架，以模拟分层的固体介质中的周期性热扩散。作为一个具体的例子，我们将这种散射矩阵方法应用于三种欧米茄方法。我们首先使用各种知名度来验证我们的框架，以验证各种框架的构图，该框架的构架构成了数字策略，我们的框架均可进行数字稳定性，以下方面的构图，我们将其构成数字策略，以用于芯片包装。最后，我们提出了合成实验，以在某些情况下表现出散射矩阵形式主义在提取热性能中的优点。
The transfer matrix formalism is widely used in modeling heat diffusion in layered structures.Due to an intrinsic numerical instability issue, which has not yet drawn enough attention to the heat transfer community,this formalism fails at high heating frequencies and/or in thick structures. Inspired by its success in modeling wave propagation, we develop a numerically-stable scattering matrix framework to model periodic heat diffusion in stratified solid media.As a concreate example, we apply this scattering matrix methodology to the three omega method.We first validate our framework using various well-known solutions.Next, we demonstrate the numerical stability of the framework using a configuration that resembles the three-dimensional stacked architecture for chip packing. Last, we propose synthetic experiments to exhibit, under certain circumstances, the merits of the scattering matrix formalism in extracting thermal properties.
