Abstract: This paper utilizes a series of analytical transformations to generate two-dimensional curvefitted, orthogonal meshes. The generated meshes can be regulated and controlled according to the variation of the flow parameters in the flow field so as to obtain the optimal grid distribution. As an example, taking unsteady transonic flows over oscillating NACA 0012 airfoil, the effects of transformation accuracy on computation accuracy of flow field, and how to control the grid generation corresponding with the variation of the flow parameters are analyzed in detail.The proceeding techniques have been applied to solve Euler equations with succes and the numerical results are satisfactory.

Key words: conformal transformation, mesh generation, transonic flow, numerical computation