To solve the problem of thermal radiation in complex geometric scenes, a finite element method based on Delaunay triangulation and three-point Gauss integral is proposed. The calculated value is compared with model existing theoretical solution of view factor, and the results show that the errors are within 3%. The method is applied to calculate the thermal radiation of combustion between adjacent liquefied petroleum gas tanks. The geometric model of conical flame and adjacent spherical tanks is also established. The result shows the maximum heat flux received by adjacent spherical tanks is 11.3 kW/m² when the flame temperature is 1470 K without wind.

中文翻译：

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基于三角和高斯积分法的复杂表面热辐射计算

为解决复杂几何场景中的热辐射问题，提出了一种基于Delaunay三角剖分和三点高斯积分的有限元方法。将计算值与模型现有的视场因子理论解进行比较，结果表明误差在3％以内。该方法用于计算相邻液化石油气罐之间燃烧的热辐射。还建立了锥形火焰和相邻球罐的几何模型。结果表明，当火焰温度为1470 K（无风）时，相邻球形储罐收到的最大热通量为11.3 kW / m ²。