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本文采用剖开算子法将二维对流扩散方程分裂为对流过程、扩散过程以及源汇项三部分,然后用各自相应的、便利的解析方法求其解析解,从而找出问题的准解析解,并且在三角形网格上求解二维问题,得到了较为满意的结果。文中还分析了准分析解与解析解在对流扩散问题上的一致性;并将该法用于电厂周围温水排放计算,通过与其它方法计算结果比较表明,该法不仅能较好地模拟电厂周围的温度分布情况,而且具有物理概念明确、计算速度快、稳定性好以及与计算区域吻合好的优点。
In this paper, we split the two-dimensional convection-diffusion equation into convection process, diffusion process and source-sink term using the cut-open operator method, and then use their corresponding and convenient analytical methods to find the analytical solutions, so as to find out the quasi-analytical solution , And solved the two-dimensional problem on the triangular mesh, and got the satisfactory result. The paper also analyzes the consistency between analytic solution and analytic solution in convection and diffusion problem. The method is applied to the calculation of warm water discharge around power plant. Comparing with other methods, the method not only can simulate the surrounding of power plant Temperature distribution, but also has the advantages of a clear physical concept, fast calculation speed, good stability and good coincidence with the calculated area.