The knowledge of tidal exchange out of a stagnant bay is often required in understanding the behavior of the water quality. Hiroshima Bay which is located deep inside the Seto Inland Sea is chosen as the subject area. A variety of Lagrangean methods are tested to give the best method to reproduce the analytical results. To test the validity of this method, the results of a numerical study is compared with a float dispersion study using the hydraulic model, demonstrating effectiveness of the numerical methods.