Several solution acceleration techniques, used to obtain steady-state CFD solutions as quickly as possible, are applied to an upwind Euler scheme to evaluate their effectiveness. Generalized minimal residual (GMRES), multigrid (MG), and ADI are compared to a four-stage Runge-Kutta scheme using several grids. The use of different acceleration schemes combinations of produces a complementary effect: the convergence becomes relatively independent of both size and quality of the grid.