CORRECTION METHODS FOR STEADY INCOMPRESSIBLE FLOWS

Correction methods for the steady semi-periodic motion of incompressible fluid are investigated. The idea is similar to the influence matrix to solve the lack of vorticity boundary conditions. For any given boundary condition of the vorticity, thecoupled vorticity-stream function formulation is solved. Then solve the governingequations with the correction boundary conditions to improve the solution. Theseequations are numerically solved by Fourier series truncation and finite differencemethod. The two numerical techniques are employed to treat the non-linear terms.The first method for small Reynolds number R = 0 -- 50 has the same results asthat in M. Anwar and S.C.R. Dennis' report. The second one for R > 50 obtainsthe reliable results.