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Determining of the hydrodynamic forces on the multi-hull tunnel vessel in steady motion

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Abstract

The research described in this paper was carried out to determine the hydrodynamic forces on the multi-hull tunnel vessel in steady motion. The hull form of vessel is fairly generated by the tunnel hull form generator code using the non-uniform rational B-Spline method. Then, the hydrodynamics simulation is carried out based on finite volume discretization method using volume of fluid model to consider free surface between water and air phases around the vessel. A dynamic mesh restructuring method is applied for grid generation regarding to the heave and pitch motions of vessel in each time step. The calculations of the center of gravity arising, trim angle, pressure, resistance and effective power are studied at various vessel’s speeds. The resistance plot versus velocity has an increasing trend having a hump velocity while the power curve shows a linear-like changes respect to speed increasing. Pressure calculations show that the ratio of hydrostatic pressure to total pressure is decreased at the end point of keel from 100 to 1 % as velocity increases from 5 to 20 m/s. The proposed numerical algorithm is a promising method for hydrodynamic analyses of wide-ranging high speed vessel types, particularly tunnel vessels.

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Abbreviations

\( \vec{a} \) :

Linear acceleration vector of mass cent

F V :

Volume Froude number

g :

Gravity acceleration

I G :

Moment inertia matrix of vessel

k i :

Knot vector values

m :

Mass of vessel

n + 1:

Number of control points

N i,q (k):

B-Spline basis functions

p :

Static pressure

P i :

Control point values

q :

Order of NURBS curve

r + 1:

Size of knot vectors

u′:

Random fluctuation linear velocity in x direction

\( \bar{u} \) :

Time average linear velocity in x direction

u, v, w :

Linear velocity in x, y, z direction

U :

Linear vector of velocity

V S :

Velocity of vessel

W i :

Control point weights

α :

Angle between keel and stagnation line

\( \vec{\alpha } \) :

Rotational acceleration vector of mass center

β :

Deadrise angle

θ :

Angle between keel and whisker spray

λ :

Volume fraction of air in cell

\( \nabla \) :

Volume displacement of vessel

μ w , μ a :

Dynamics viscosity of water and air

ρ w , ρ a :

Mass density of water and air

\( \sum {\vec{F}} \) :

Total force vector of mass center

\( \sum {\vec{M}_{G} } \) :

Total moment vector about mass center

τ :

Trim angle

\( \vec{\omega } \) :

Rotational velocity vector of mass center

BEM:

Boundary element method

LCG:

Longitudinal center of gravity

VCG:

Vertical center of gravity

CFD:

Computational fluid dynamic

DOF:

Degrees of freedom

FVM:

Finite volume method

NURBS:

Non uniform rational B-Spline

RANS:

Reynolds-averaged Navier–Stokes

THFG:

tunnel hull form generator

UDF:

User define function

VOF:

Volume of fluid

References

  1. Hinatsu M (2004) Fourier NUBS method to express ship hull form. J Mar Sci Technol 9:43–49

    Article  Google Scholar 

  2. Kim H-C, Nowaki H (2005) Parametric design of complex hull forms. Ship Technol 9(1):47–63

    MATH  Google Scholar 

  3. Mancuso A (2006) Parametric design of sailing hull shapes. Ocean Eng 33(2):234–246

    Article  Google Scholar 

  4. Sarioz E (2006) An optimization approach for fairing of ship hull forms. Ocean Eng 33(13):2105–2118

    Article  Google Scholar 

  5. Perez F, Suarez JA (2007) Quasi-developable B-Spline surfaces in ship hull design. Comput Aided Des 39:853–862

    Article  Google Scholar 

  6. Wang H, Zou Z-J (2008) Geometry modeling of ship hull based on non-uniform B-Spline. J Shanghai Jiao Tong Univ 13(2):189–192

    Article  MathSciNet  MATH  Google Scholar 

  7. Perez FL, Clemente JA (2008) Parametric generation, modeling, and fairing of simple hull lines with the use of non-uniform rational B-Spline surfaces. J Ship Res 52(1):1–15

    MATH  Google Scholar 

  8. Ventura M, Guedes Soares C (2012) Surface intersection in geometric modeling of ship hulls. J Mar Sci Technol 17(1):114–124

    Article  Google Scholar 

  9. Calkins D, Schachter RD, Oliveira LT (2001) An automated computational method for planing hull form definition in concept design. Ocean Eng 28(3):297–327

    Article  Google Scholar 

  10. Ghassabzadeh M, Ghassemi H (2013) An innovative method for parametric design of planing tunnel vessel hull form. Ocean Eng 60(4):14–30

    Article  Google Scholar 

  11. Yousefi R, Shafaghat R, Shakeri M (2013) Hydrodynamic analysis techniques for high-speed planing hulls. Appl Ocean Res 42:105–113

    Article  Google Scholar 

  12. Savitsky D (1964) Hydrodynamic design of planing hulls. Mar Technol 1(1):71–95

    Google Scholar 

  13. Savitsky D, Brown PW (1976) Procedures for hydrodynamic evaluation of planing hulls in smooth and rough water. Mar Technol 13(4):381–400

    Google Scholar 

  14. Savitsky D, Delorme MF, Datla R (2007) Inclusion of whisker spray drag in performance prediction method for high-speed planing hulls. Mar Technol 44(1):35–56

    Google Scholar 

  15. Savitsky D, Morabito M (2010) Surface wave contours associated with the forebody wake of stepped planing hulls. Mar Technol 47(1):1–16

    Google Scholar 

  16. Ghassemi H, Ghiasi M (2008) A combined method for the hydrodynamic characteristics of planing crafts. Ocean Eng 35:310–322

    Article  Google Scholar 

  17. Ghassemi H, Su YM (2008) Determining the hydrodynamic forces on a planing hull in steady motion. J Mar Sci Appl 7:147–156

    Article  Google Scholar 

  18. Kohansal AR, Ghassemi H (2010) A numerical modeling of hydrodynamic characteristics of various planing hull forms. Ocean Eng 37:498–510

    Article  Google Scholar 

  19. Sun H, Faltinsen OM (2012) Hydrodynamic forces on a semi-displacement ship at high speed. Appl Ocean Res 48:68–77

    Article  Google Scholar 

  20. Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39:201–205

    Article  MATH  Google Scholar 

  21. Panahi R, Jahanbakhsh E, Seif MS (2009) Towards simulation of 3D nonlinear high-speed vessels motion. Ocean Eng 36:256–265

    Article  Google Scholar 

  22. Su Y, Chen Q, Shen Ch, Lu W (2012) Numerical simulation of a planing vessel at high speed. J Mar Sci Appl 11:178–183

    Article  Google Scholar 

  23. Subramanian AV, Subramanyam PVV, Sulficker AN (2007) Pressure and drag influences due to tunnels in high-speed planing craft. Int Shipbuild Prog 54(25–44):25

    Google Scholar 

  24. Subramanian AV, Subramanyam PVV (2005) Effect of tunnel on the resistance of high speed planing craft J Nav Archit Mar Eng

  25. Millward A (2004) The effect of channel width and depth on the resistance of a high speed hull, Int. Shipbuilding Progress, 51, No. 4, pp.377–394

  26. Piegl L, Tiller W (1997) The NURBS book. Springer, Berlin

    Book  Google Scholar 

  27. FLUENT Inc., 2006, Fluent 6.3 user’s guide, www.fluent.com

Download references

Acknowledgments

This research was supported by High Performance Computing Research Center (HPCRC) at Amirkabir University of Technology, which is acknowledged. Authors would like to thank the reviewers for their valuable comments.

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Authors and Affiliations

  1. Department of Ocean Engineering, Amirkabir University of Technology, Hafez Ave, 15875-4413, Tehran, Iran

    Morteza Ghassabzadeh & Hassan Ghassemi

Authors
  1. Morteza Ghassabzadeh
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  2. Hassan Ghassemi
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Correspondence to Hassan Ghassemi.

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Technical Editor: Francisco Ricardo Cunha.

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Ghassabzadeh, M., Ghassemi, H. Determining of the hydrodynamic forces on the multi-hull tunnel vessel in steady motion. J Braz. Soc. Mech. Sci. Eng. 36, 697–708 (2014). https://doi.org/10.1007/s40430-013-0110-2

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  • DOI: https://doi.org/10.1007/s40430-013-0110-2

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