Abstract
A ship advancing in restricted waters may cause a change in the surrounding velocity field, which in turn results in the hydrodynamic pressure field according to the variations in the ship speed. Accurate prediction of ship hydrodynamic pressure fields in restricted waters is therefore essential and important in the military and engineering fields. Based on the potential flow theory and the thin-ship assumption, dividing complex restricted waters with varying depths into the inner and outer domains with constant depths, a mathematical modeling method is developed and carried out for analyzing and solving the partial differential equations consisting of the governing equation with a dispersion effect, initial and boundary conditions, then the analytical solution of hydrodynamic pressure field caused by a ship advancing in complex restricted waters is obtained. The continuity of the analytical solution is confirmed and the correctness of the analytical solution is validated by simplifying to a simple water and comparing with available data. Moreover, the mathematical modeling method can be extended to study the hydrodynamic problems of ships in more complex waters.
Highlights
Academic Editors: Carlos GuedesThere are numerous restricted waters in the world, such as narrow waters and shallow waters
A ship advancing in restricted waters may cause a change in the surrounding velocity field, which in turn results in the hydrodynamic pressure field according to the variations in the ship speed
In examine order to solve ship hy- in hydrodynamics in simple restricted waters and did not ship hydrodynamics restricted waters. waters, Some researchers, such as Gourlay [10,11,12,13], extended from drodynamic problems complex in complex restricted we studied a mathematical modeling simple restricted waters to complex restricted waters, and the sinkage and trim of a ship method for an analytical solution taking into account the dispersion effect,based on the basis of advancing through the complex restricted waters were calculated on the potential our previous research flow
Summary
There are numerous restricted waters in the world, such as narrow waters and shallow waters. Waters, Some researchers, such as Gourlay [10,11,12,13], extended from drodynamic problems complex in complex restricted we studied a mathematical modeling simple restricted waters to complex restricted waters, and the sinkage and trim of a ship method for an analytical solution taking into account the dispersion effect,based on the basis of advancing through the complex restricted waters were calculated on the potential our previous research flow [14,15,16,17,18].
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