Discontinuous finite element method for combined radiation-conduction heat transfer in participating media
Discontinuous finite element method for combined radiation-conduction heat transfer in participating media
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DOI：
10.1016/j.icheatmasstransfer.2019.104287
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发表时间：
2019-11
影响因子：
7
通讯作者：
Cunhai Wang;Yan-yan Feng;Kai Yue;Xinxin Zhang
中科院分区：
文献类型：
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作者：
Cunhai Wang;Yan-yan Feng;Kai Yue;Xinxin Zhang
将间断有限元法推广到灰色各向同性散射介质中辐射-导热复合传热问题。将计算域离散为有限元，并在每个离散单元上构造形函数。该方法释放了连续有限元法中的强迫内边界连续性，并通过模拟的数值通量将单元连接起来，使其在处理曲线边界的不规则几何体时具有稳定性和灵活性。通过与其他基准解的比较，验证了DFEM算法的准确性。利用该有限元法进一步求解了二维不规则介质中的复合换热问题。结果表明，该方法对非结构网格质量要求不高，对于求解复杂结构的辐射-导热耦合问题具有较高的精度。
A discontinuous finite element method (DFEM) is extended to combined radiation-conduction heat transfer in gray and isotropically scattering media. The computational domain is discretized into finite elements and the shape functions are constructed on each discrete element. The forced inner-boundary continuity in the continuous finite element method (FEM) is released and the DFEM elements are connected by a simulated numerical flux across the inner-element boundaries, this makes the DFEM numerical stable and flexible in dealing with irregular geometry with curve boundaries. The accuracy of the DFEM algorithm for combined heat transfer is verified by comparing the DFEM results with other benchmark solutions. Combined heat transfer in two-dimensional media with irregular geometries is further solved by using the DFEM. Results show that the DFEM demands little on unstructured mesh quality and is highly accurate for solving coupled radiation-conduction heat transfer in participating medium with complex configurations.