Abstract: A technique of nonstructured triangular mesh generation which is easy to be incor-porated in the technique of self adaptive mesh refinement is developed. The distinguished fea-ture of the present method is that the hiesh points inside the domain can be prescribed arbitrarily and thus a new nonstructured triangular mesh with good triangular quality will be generat-ed quickly after the required nodes have been added in the region where the mesh has to be refined based on the error estimate of the solution of Euler equation. The Galerkin spatial dis-cretization in combination with a two step Richtmyer explicit time marching flnite element al-gorithm is adopted to solve the Euler equation and the variatiOn of the entropy increment along the stream direction is used as the physical criteria for self adaptive mesh refinement to reduce the numerical error and raise the accuracy of solutions.

Key words: adaptive control, computational grids, eration(mathematics), finite element method, Euler equations of motion