a method is disclosed that enables the prediction of the equilibrium state of a structure upon which it force is applied by a fluid . in particular , the method is valid for cases where the force applied by the fluid causes a deformation in the structure so that the force on the structure changes as a result of the change in the flow pattern as a result of the structural deformation . the disclosed method is valid for cases where the flow exhibits shocks and separation of the flow and does not require an iteration between the flow and structures solution steps .