This paper is consisted of two parts. In the first part, a method is descri
bed which generates two-dimensional triangle mesh using the Delaunay triang
ulation criterion. An automatic algorithm was proposed which combines sever
al advantages of the existing methods. Local mesh refinement can also be ea
sily performed with this method. Examples of generated grids were presented
for several convex, non-convex and multi-connected domains to demonstrate
the effectiveness and feasibility of the proposed method. In the second par
t, the turbulent heat transfer in an annular space finned by wave-like long
itudinal fins was numerical simulated. The proposed technique was adopted t
o generate the grid in the cross-section. The standard K-epsilon model in c
onjuction with wall function method was used to simulate the fluid flow and
heat transfer in the complex geometry. The discretization of the governing
equations was described. The computational results were compared with the
authors' test data and the agreement was reasonably good.