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发展了基于投影法的紧致方法求解流动换热问题,对顶盖驱动流和侧壁加热的方腔内自然对流换热问题进行了数值模拟。与其它传统方法相比,紧致方法能在较少的网格结点下获得精度较高的计算结果。进一步,采用所发展的紧致方法对不同工况下的Rayleigh-Benard对流及其静态分岔现象进行了数值模拟。数值计算结果表明当长宽比变大时,底部努塞尔数会有小幅度增加。当长宽比为8时,用所发展的紧致方法不同的初场可以得出三种不同的流场和温度场。与基于QUICK格式的SIMPLE算法相比,所发展的紧致方法可以多预测一种静态分岔现象。
A compact method based on projection method was developed to solve the problem of flow and heat transfer. The numerical simulation of the natural convection heat transfer in the cavity with top-driven flow and side-wall heating was carried out. Compared with other traditional methods, the compact method can obtain more accurate results with fewer mesh nodes. Further, Rayleigh-Benard convection and its static bifurcation under different conditions are numerically simulated with the developed compact method. Numerical results show that as the aspect ratio increases, the Nusselt number increases slightly. When the aspect ratio is 8, three different flow and temperature fields can be derived from the different initial fields for the compact method developed. Compared with the QUICK-based SIMPLE algorithm, the developed compact method can predict more than one static bifurcation.