AN ADAPTIVE-GRID METHOD AND ITS APPLICATION TO STEADY EULER FLOW CALCULATIONS

An adaptive remeshing procedure based on a cell volume deformation met hod is presented. Starting with an initial grid, this method offers di rect cell volume control through the specification of the transformati on Jacobian. Grid points are moved with appropriate grid velocities so that the specified cell volume distribution can be achieved at the en d of the grid movement without adding or removing grid points. The gri d velocities are determined by solving a scalar Poisson equation. This method is applied to solving the compressible Euler equations. Comput ational test cases of transonic flow over an airfoil are presented and demonstrate the desired control of grid sizes across shock waves.