This paper presents a novel methodology for fast simulation and analysis of transient heat transfer. The proposed methodology is suitable for real-time applications owing to (i) establishing the solution method from the viewpoint of computationally efficient explicit dynamics, (ii) proposing an element-level thermal load computation to eliminate the need for assembling global thermal stiffness, leading to (iii) an explicit formulation of nodal temperature computation to eliminate the need for iterations anywhere in the algorithm, (iv) pre-computing the constant matrices and simulation parameters to facilitate online calculation, and (v) utilising computationally efficient finite elements to efficiently obtain thermal responses in the spatial domain, all of which lead to a significant reduction in computation time for fast run-time simulation. The proposed fast explicit dynamics finite element algorithm (FED-FEM) employs nonlinear thermal material properties, such as temperature-dependent thermal conductivity and specific heat capacity, and nonlinear thermal boundary conditions, such as heat convection and radiation, to account for nonlinear characteristics of transient heat transfer. Simulations and comparison analyses demonstrate that not only can the proposed methodology handle isotropic, orthotropic, anisotropic and temperature-dependent thermal properties but also satisfy the standard patch tests and achieve good agreement with those of the commercial finite element analysis packages for numerical accuracy, for 3-D heat conduction, convection, radiation, and thermal gradient concentration problems. Furthermore, the proposed FED-FEM algorithm is computationally efficient and only consumes a small computation time, capable of achieving real-time computational performance, leading to a novel methodology suitable for real-time simulation and analysis of transient heat transfer.
翻译:本文提出了快速模拟和分析瞬变热传输的新方法。拟议方法适合于实时应用,因为(一) 从计算效率高的显性动态角度建立解决方案方法,(二) 提出元素级热负荷计算,以消除全球热硬度组装的需要,导致(三) 明确制定交点温度计算,消除算法任何地方的迭代需求,(四) 预先计算恒定矩阵和模拟参数,以便利在线计算,(五) 利用计算效率高的有限要素,在空间域高效地获得热反应,所有这些都导致快速运行模拟的计算时间大幅缩短。拟议的快速清晰度定值要素算法(FED-FEM)采用非线性热材料性质,如温度依赖导电导和特定热能能力,以及非线性热调边界条件,以考虑到瞬变热传输的非线性特性,以及(五) 模拟和比较分析表明,不仅能够拟议的方法处理低度时间级、成本级、或热轨算法快速的计算,还能够实现准确性价定的精确度分析。