The distinctive paper is devoted to problems of solution of fluid flows, modelled using the Navier-Stokes or Euler equations, and coupled with structures (solids). Brief literature review is presented. Problem formulation, finite element discretization, simultaneous and partitioned solution procedures, are discussed, and advantages and disadvantages of their use are mentioned. Some state-of-the-art numerical solutions, obtained by ANSYS Mechanical, ANSYS CFX and ABAQUS, are also presented to indicate problems that can now be solved using currently available techniques.