Abstract
Hydrodynamic coefficients strongly affect the dynamic performance of autonomous underwater vehicles (AUVs). Thus it is important to have the true values of the coefficients in order to simulate the AUV’s dynamic performance accurately. Although these coefficients can be predicted by many methods, most are only applicable for AUVs with streamlined shapes. Computational fluid dynamics (CFD) can be applied to estimate the hydrodynamic coefficients of AUVs with complex shapes. In this study, CFD was applied to estimate the hydrodynamic coefficients of the AUV TUNA-SAND (which stands for terrain-based underwater navigable AUV for seafloor and natural resources development), which has a complex block-like structure. First, the validity of the CFD simulation was verified by comparison with experimental results. Second, the relationships between hydrodynamic loads and motions for all six degrees of freedom were analyzed using the simulated results. Third, the importance of each hydrodynamic coefficient was investigated based on these relationships. There are 16 key damping coefficients that relate to viscosity and 12 key inertial coefficients that relate to the potential flow around TUNA-SAND. Finally, the values of all the key coefficients were obtained and verified by comparing the solutions of the simulated dynamics with the experimental results.
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Abbreviations
- O-xyz :
-
Body-fixed frame
- E-XYZ :
-
Earth-fixed frame
- X, Y, Z, L, M, N :
-
Surge, sway, and heave hydrodynamic forces, and roll, pitch, and yaw hydrodynamic moments
- X T, Y T, Z T, L T, M T, N T :
-
Surge, sway, and heave force, and roll, pitch and yaw moments provided by the thrusters
- u, v, w :
-
Surge, sway, and heave velocity
- p, q, r :
-
Roll, pitch and yaw angular velocity
- u′, v′, w′:
-
Surge, sway and heave acceleration
- p′, q′, r′:
-
Roll, pitch and yaw angular acceleration
- m :
-
Mass of the vehicle
- ρ:
-
Density of water
- ∇:
-
Drain volume of the vehicle
- z B :
-
Centre of buoyancy
- I x , I y and I z :
-
Moments of inertia
- Φ, Θ and Ψ:
-
Euler angles between Earth-fixed frame and the body-fixed frame
- X i , Y i , Z i , L i , M i , N i :
-
Hydrodynamic coefficients for surge, sway, heave, roll moment, pitch and yaw moment, e.g. \( X_{u|u|} = \partial X/\partial u|u| \)
- T :
-
Thrust
- n :
-
Rotational speed of thruster
- D :
-
Diameter of thruster
- V a :
-
Inlet flow velocity
- K T :
-
Thrust coefficient
- K 0 :
-
Thrust coefficient for J = 0, J = V a/nD
- Re :
-
Reynolds number
- L :
-
Length of body
- υ:
-
Kinematic viscosity of salt water at 15°C, ν = 1.19 × 10−6
- QRAS :
-
Quality and reliability assurance coefficient of grids, 0 ≤ Q RAS ≤ 1
- v :
-
Design speed
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Acknowledgments
The authors acknowledge Dr. K. Kim for providing many useful suggestions for the boundary condition decision. We also thank all members of the URA Laboratory, the University of Tokyo, for their help with the experiments. This work is supported by National Natural Science Foundation of China (No. 40806019).
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Tang, S., Ura, T., Nakatani, T. et al. Estimation of the hydrodynamic coefficients of the complex-shaped autonomous underwater vehicle TUNA-SAND . J Mar Sci Technol 14, 373–386 (2009). https://doi.org/10.1007/s00773-009-0055-4
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DOI: https://doi.org/10.1007/s00773-009-0055-4