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From comparison, both methods provide slightly different value of pressure coefficient. The oblique shockwave is thinner using second order method. This suggest that the second order method provide a more accurate simulation of the super sonic flow over wedge. In general, second order discretization method will provide more accurate solution, but it is more difficult to obtain converged solution if the geometry is complex. So it is a good practice to start with a first order solution and then continue solving the problem using second order discretization method.