非交错网格求解传热及流体流动

NUMERICAL SOLUTION OF HEAT TRANSFER ANDFLUID FLOW ON NONSTAGGERED GRIDS

在非交错网格系统上提出了一种新的以控制容积为基础的有限差分方法，来求解传热及流体流动问题。为了避免压力棋盘问题，压力梯度采用偏迎风压力离散格式进行处理，以保持压力－速度的耦合。利用本算法对数值传热的典型问题进行计算，并将计算结果与采用交错网格的PHOENICS通用程序所得结果相比较，二者吻合甚好。

A new control-volume based finite difference method is developed in this paper for thesolution of heat transfer and fluid flow problems on nonstaggered grids. The problem of pressurecheckboard is prevented with an original differencing method of the pressure-gradients that may becalled upwind-biased - interpolation. The proposed method is applied to two typical test problems.Comparision is made between the currently developed code and the well-known commercial softwarePHOENICS which employs staggered grid system. Excellent agreements are observed.