Abstract: In this paper, we made a further investigation on the method of single spacemarching and iterating, carried out locally in each crossflow plane,that was used to simulatethe 3D steady supersonic viscous flow. In each marching plane,when iterating locally alongthe pseudotime levels, we used four different implicit iterating strategies. These includethe fully implicit method,the Gauss-Sidle iteration in circumferencial direction and implicititeration in normal direction, implict in normal direction and explici...