通过泰勒展式系数匹配的方法发展了基于非等距网格的有限容积紧致格式,采用延迟修正的方法建立了基于SIMPLE的紧致方法,,该方法能够得到高精度的数值解,增加迭代求解代数方程组的稳定性。对底部加热的方腔内自然对流换热问题进行数值模拟,结果表明,紧致方法比二阶中心差分方法具有更高的精度。 A finite volume compact scheme based on non-equidistant grid was developed by Taylor expansion coefficient matching method. A compact method based on SIMPLE was established by using delay correction method. This method can obtain high-precision numerical solution and increase iteration Solving the stability of algebraic equations. The numerical simulation of the natural convection heat transfer in the bottom heated cavity shows that the compact method has higher accuracy than the second-order central difference method.