A Mathematical Modeling Method for an Analytical Solution of Ship Hydrodynamic Pressure Fields in Complex Restricted 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. Accurate prediction of ship hydrodynamic pressure fields in restricted waters is therefore essential and...

Full description

Saved in:
Bibliographic Details
Published in:Journal of marine science and engineering 2022-02, Vol.10 (2), p.232
Main Authors: Deng, Hui, Zhang, Zhihong, Yi, Wenbin, Xia, Weixue
Format: Article
Language:English
Subjects:
Boundary conditions
Differential equations
dispersion effect
Exact solutions
Fields
Flow theory
Fluid mechanics
Fourier transforms
Hydrodynamic pressure
Hydrodynamics
Mathematical analysis
mathematical modeling method
Mathematical models
Military engineering
mixed flow
Modelling
Partial differential equations
Potential flow
Pressure
Pressure field
restricted waters
ship hydrodynamic pressure field
Ship speed
Velocity
Velocity distribution
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2077-1312
2077-1312
DOI:10.3390/jmse10020232