A 2-DIMENSIONAL ADAPTIVE MESH GENERATION METHOD

An automatic two-dimensional adaptive mesh generation method is persented. The method is designed so that a small portion of the mesh can be modified without disturbing a large number of adjacent mesh points. The method can be used with or without boundary-fitted coordinate generation procedures. On the generated mesh a differential equation can be discretized by using classical difference formulas designed for uniform meshes as well as the difference formulas developed in this work. Both cases are illustrated by applying the method to the Hiemenz flow for which the exact solution of the Navier-Stokes equation is known [1] and to a two-dimensional viscous internal flow model problem. © 1991.