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Numerical Modeling of an Advanced Semi-SWATH Hull in Calm Water and Regular Head Wave

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Abstract

A small waterplane area twin hull (SWATH) has excellent seakeeping performance and low wave-making resistance, and it has been applied to small working craft, pleasure boats, and unmanned surface vehicles. However, with the increase in speed, the hydrodynamic resistance of SWATH will increase exponentially because of its large wet surface, followed by the uncomfortable situation of the hull underwater part relative to the water level and in terms of high trim by stern and high sinkage. A way to improve this situation is to reduce the depth of the draft at high speeds to ensure that all or a part of the volume of the submerged bodies is above the water level. Based on this idea, a new type of semi-SWATH hull form was analyzed in this paper. The two submerged bodies of the SWATH have a catamaran boat shape. This paper employed Siemens PLM Star-CCM+ to study the hydrodynamic performance of an advanced semi-SWATH model. Bare-hull resistance was estimated for both SWATH and CAT (CATAMARAN) modes in calm water. Moreover, the effect of fixed stabilizing fins with different angles on the vertical motions of the vessel in regular head waves was investigated with an overset mesh approach. The vertical motion responses were estimated at different wave encounter frequencies, and the present numerical method results have been verified by already published experimental data.

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Abbreviations

a CG :

Vertical acceleration at the Centre of gravity (m/s2)

B :

Half beam of the vessel (m)

BEM:

Boundary Element Method

CFD:

Computational fluid dynamics

CFL:

Courant-Friedrichs-Lewy number

CG:

Center of Gravity

C f :

Friction coefficient

C T :

Total resistance coefficient

C W :

Wave resistance coefficient

DFBI:

Dynamic Fluid Body Interaction

Fr :

Froude number \(\left(V/\sqrt{gL}\right)\)

g :

Acceleration due to gravity (m/s2)

GCI:

Grid Convergence Index

HRIC:

High-Resolution Interface Capture

h w :

Wave height (m)

ITTC:

International Towing Tank Conference

k :

Wave number (rad/m)

L :

Length between perpendiculars of the hull (m)

MII:

Motion-Induced Interruptions (1/min)

MSI:

Motion-Seasickness Incidence (%)

RAO:

Response Amplitude Operators

R&D:

Research and Development

SWATH:

Small Waterplane Area Twin Hull

T :

Draft of the vessel (m)

T e :

Wave encounter period (1/s)

t :

Time step (s)

U :

Flow velocity (m/s)

u :

Friction velocity (m/s)

URANSE:

Unsteady Reynolds-Averaged Navier-Stokes Equation

V :

Speed of the vessel (m/s)

v :

Kinematic viscosity (m2/s)

w/wo:

With or without

x :

Cell size dimension (m)

y :

Absolute distance from the nearest wall (m)

y+:

Dimensionless wall distance (uy/v)

Z a :

Heave motion amplitude (m)

α :

Volume fraction of water

β :

Viscous interference factor

(1 + K):

Form factor

ζ a :

Wave amplitude (m)

θ a :

Pitch motion amplitude (°)

λ w :

Wave length (m)

ρ :

Density of water (kg/m3)

τ :

Wave resistance coefficient interference factor

ω :

Wave frequency (rad/s)

ω :

Dimensionless wave frequency \(\left(\omega \sqrt{L/g}\right)\)

∇:

Volume of displacement (m3)

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Correspondence to Mohammad Hossein Karimi.

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Article Highlights

• The numerical simulation of calm water performance for an advanced semi-SWATH hull at SWATH and CAT modes has been carried out by using CFD method and the weight fraction of each calm water resistance components was studied.

• The grid uncertainty study of CFD method for semi-SWATH hulls is studied.

• The effectiveness of fixed stabilizing fins, for control and reduction of semi-SWATH vertical motions under regular head wave, is studied.

• The numerical simulation of seakeeping performances for semi-SWATH hull has been carried out (in regular head wave and at different Froude numbers) and RAO diagrams for heave, pitch, and vertical acceleration were depicted.

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Zare, A., Sayyadi, H. & Karimi, M.H. Numerical Modeling of an Advanced Semi-SWATH Hull in Calm Water and Regular Head Wave. J. Marine. Sci. Appl. 20, 646–659 (2021). https://doi.org/10.1007/s11804-021-00239-6

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  • DOI: https://doi.org/10.1007/s11804-021-00239-6

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