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Three-dimensional numerical analysis of shipping water onto a moving ship using a particle method

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Abstract

The objective of this study was to develop a numerical analysis method based on the moving particle semi-implicit method for simulating shipping water on a moving ship. Towing tests of a very large crude carrier were numerically analyzed for three typical wavelengths. The ship was forced to move in order to express previously measured ship oscillations, and the calculated fluid behavior and the impact pressure on the deck were compared with the experimental results.

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Abbreviations

B :

Breadth

c :

Phase velocity

D :

Depth

d :

Draft

f :

Wave frequency

F :

Freeboard

g :

Acceleration of gravity

h :

Water depth

k :

Wave number

\( \vec{K} \) :

External force

l 0 :

Spacing between adjacent particles in the initial configuration

L pp :

Ship length between perpendiculars

N :

Total number of particles

n i :

Particle number density of ith particle

n 0 :

Constant of the particle number density

P :

Pressure

\( \vec{r} \) :

Position vector of particle

r :

Distance between particles

r e :

Radius of the interaction domain

t :

Time

T e :

Wave encounter period

\( \vec{u} \) :

Flow velocity

u :

Velocity component in the X-direction

v :

Velocity component in the Z-direction

w :

Weight function

Z :

Number of space dimensions

β :

Parameter for the free surface

Φ:

Velocity potential

ϕ :

Arbitrary quantity

η :

Wave profile

λ :

Parameter for Laplacian model and the wavelength

μ :

Viscosity

υ :

Kinematic viscosity

ρ :

Density

ω :

Angular frequency

ζa :

Wave amplitude

ζw :

Wave height

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Acknowledgments

The authors appreciate the financial support of the Program for Promoting Fundamental Transport Technology Research from the Japan Railway Construction, Transport and Technology Agency.

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Authors and Affiliations

  1. National Maritime Research Institute, 6-38-1, Shinkawa, Mitaka, Tokyo, Japan

    Kazuya Shibata & Katsuji Tanizawa

  2. Department of Systems Innovation, Graduate School of Engineering, The University of Tokyo, Tokyo, Japan

    Seiichi Koshizuka

Authors
  1. Kazuya Shibata
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  2. Seiichi Koshizuka
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  3. Katsuji Tanizawa
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Corresponding author

Correspondence to Kazuya Shibata.

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Shibata, K., Koshizuka, S. & Tanizawa, K. Three-dimensional numerical analysis of shipping water onto a moving ship using a particle method. J Mar Sci Technol 14, 214–227 (2009). https://doi.org/10.1007/s00773-009-0052-7

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  • DOI: https://doi.org/10.1007/s00773-009-0052-7

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