Abstract: An adaptive generation method about two dimensional structured grids is presented.Several variational methods are used to control the mesh spacing,smoothness,orthogonality and regularity of grids generated.The all governing equations have identical dimensions.Some typical examples demonstrate that the method of adaptively generating grids can well converge to the unique solution of the governing partial differ-ential equations, and in the meanwhile can get structured grids.

Key words: two dimensional structured grids, adaptive generation, variational methods