针对SIMPLE系列算法，通过分别求解控制容积界面和节点两个位置的对流一扩散方程来提高数值计算精度，提出了一种流动与传热数值模拟的新方法。采用新的数值方法对顶盖驱动流与正方腔自然对流进行了数值模拟。数值模拟结果表明，在相同网格划分时，新的数值方法相对迎风格式、乘方格式、QUICK格式SIMLE算法的计算精度高；而在计算精度基本相同时，新方法有较高的计算效率。
A corrected numerical method based on SIMPLE is given to improve the computational accuracy of solving the convective-diffusion equation which can describe the incompressible fluid and heat transfer problems in this article. The drive flow and natural convection in a square cavity are analyzed using several numerical methods including the corrected method. And the drive flow results show that the corrected method has a better accuracy than other methods at the same grid classification though the computational efficiency is a little worse while the natural convection results shows that the corrected method has a better computational efficiency at the same accuracy. In conclusion, the corrected method has a better computational accuracy than SIMPLE using FUS, PLS or QUICK at the same grid classification and a better computational efficiency at the same accuracy.
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