In this paper, a three-dimensional transient thermal simulation algorithm based on spectral element method is proposed. This algorithm uses distorted hexahedron for mesh generation, which not only keeps the high efficiency of hexahedron element calculation, but also improves the flexibility of mesh generation. It supports efficient forward difference and unconditionally stable backward difference in time step. Through practical examples and comparison with commercial software, the reliability and stability of the algorithm are verified, and it has obvious advantages in memory consumption and computing efficiency.

中文翻译：

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基于曲线六面体谱元时域法的高效瞬态热分析

本文提出了一种基于谱元法的三维瞬态热仿真算法。该算法采用扭曲六面体进行网格生成，既保持了六面体单元计算的高效性，又提高了网格生成的灵活性。在时间步长上支持高效的前向差分和无条件稳定的后向差分。通过实例和与商业软件的对比，验证了算法的可靠性和稳定性，在内存消耗和计算效率方面具有明显优势。