微分求积方法(DQM)已成功地应用于数值求解流体力学中的许多问题·　但是已有的工作大多限于正规区域的流动问题,同时缺少用迎风机制来描述流体流动的对流特性·　该文对一个不规则区域中的不可压缩层流和热迁移的耦合问题给出了一种具有迎风机制的局部微分求积方法,对通过边界和坐标不平行的收缩管道中的流体,只用少数网格点得到了比较好的数值解·　和有限差分方法(FDM)相比较,这一方法具有计算工作量少、存储量小和收敛性好等优点·　 The differential quadrature method (DQM) has been successfully applied to many problems in numerical solution of fluid mechanics. However, most of the existing work is limited to the problem of flow in the normal region, and the convection characteristics of the fluid flow are not represented by the windward mechanism. A coupled problem of incompressible laminar flow and heat transfer in an irregular region is given. A local differential quadrature method with windward mechanism is presented. For the fluid in the shrink pipe with non-parallel boundaries and coordinates, only a few grids This method has the advantages of less computational load, less storage and better convergence than the finite difference method (FDM).