NORMAL MODE ANALYSIS OF SECOND-ORDER PROJECTION METHODS FOR INCOMPRESSIBLE FLOWS

A rigorous normal mode error analysis is carried out for two second-order projection type methods. It is shown that although the two schemes provide second-order accuracy for the velocity in L 2 -norm, their ac- curacies for the velocity in H 1 -norm and for the pressure in L 2 -norm are difierent, and only the consistent splitting scheme introduced in (6) provides full second-order accuracy for all variable in their natural norms. The advan- tages and disadvantages of the normal mode analysis vs. the energy method are also elaborated.