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Superposition method for the simulation of heat transfer

机译：模拟传热的叠加方法

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Highlights•A novel superposition method is applied to heat transfer simulation. Good agreement is reached between superposition method and full-scale finite element method.•Boundary effects are taken into consideration by selecting boundary elements to produce data maps. The more boundary element data maps selected, the closer the superposition method results are to the full-scale finite element method.•The computation efficiency can be greatly improved by superposition method compared to full-scale simulation, especially for large-scale and long-time simulation.AbstractHeat transfer plays a significantly important role in practical engineering. In this work, superposition method is applied to heat transfer simulation. In the superposition method, a representative element is selected. A pulse of heat is applied to the representative element to produce the data map by finite element method. The temperature history for the nodes of interest is recorded in the data map. To take the boundary effect into consideration, boundary elements are also selected to produce data maps. In the superposition method, time and space shifts are made in the data maps and the temperature increment is summed up. The temperature for the nodes of interest can be obtained. Good agreement is reached between the superposition method and the full-scale finite element method. The computational efficiency of superposition method is extremely higher than finite element simulation, especially for large-scale and long-time simulation.
机译： 突出显示 • 一种新颖的叠加方法应用于传热模拟。叠加法和满量程有限元法之间达成了很好的协议。 • 通过选择边界元素以生成数据图，可以考虑边界效应。选择的边界元素数据图越多，叠加方法的结果就越接近于全尺寸有限元方法。 • 与全尺寸仿真相比，通过叠加方法可以大大提高计算效率，特别是对于大规模长期仿真。 摘要 传热在实际工程中起着重要作用。在这项工作中，将叠加方法应用于传热模拟。在叠加方法中，选择一个代表元素。将热脉冲施加到代表性元素，以通过有限元方法生成数据图。感兴趣节点的温度历史记录在数据图中。为了考虑边界效应，还选择边界元素以生成数据图。在叠加方法中，在数据图中进行时空偏移，并对温度增量求和。可以获得感兴趣节点的温度。叠加法和满量程有限元法之间达成了很好的协议。叠加方法的计算效率远远高于有限元模拟，特别是对于大规模和长时间的模拟。

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