All calculations are carried out by the workstation. The CPU time necessary to calculated until T=4.5 is about 41 days by this computer. Thus a terrible long time was spent for only one case computation. So, the calculations to examine the effects of B/L ratios and Froude numbers to the wave profiles are impossible because of the CPU time to calculate one case was very long time. Also, the cases of large incident angle of generating plate could not be performed.
6. CONCLUDING
A numerical computation and measurement of the wave pattern generated by a planing rectangular plate with the small attack angle have been carried out. It is based on the finite difference method of the Navier-Stokes equation. The computed results generally agree with the experimental data, however, the stern divergent waves and the spray could not be simulated. Further studies on this simulation should be continued, especially on the following problems.
I) calculating the case of an arbitrary large attack angle and B/L ratio of a planing flat plate.
2) introducing a turbulence models and trying to the wave phenomena in a higher Reynolds number.
3) inventing the expression of the spray near the leading edge of plate.
Fig. 11 Pressure distributions on a bottom surface of planing plate at Fn=1 .29
Fig. 12 Comparison of calculated and measured pressure distributions on a center line of bottom surface at Fn=1 .29
REFERENCES
1 Wagner, H.,:Uber das Gleiten von Wasserfahrzeugen, Jahrbuch der Schi.flbautechnik, (1932).
2. Green, A. E.,:Note on the Gliding of a Plate on the Surface of a Stream, Proceedings of Cambridge Philosophy of Society, Vol.32, (1936).
3. Sedov, L. I.,:Two-Dimensional Problems in Hydrodynamics and Aero-dynarnics, Translated from the Russian and edited by C. Chu, H. Cohen and B. Seckler, JohnWiley, (1965).
