Numerical investigation of a fleet of towed AUVs

This paper investigates the influence on the fleet of the drag of multiple towed prolate spheroids to determine the hydrodynamic effect of the viscous interaction between hulls and to study the influence of the configuration׳s shape of multiple hulls in the vee and echelon formations. A series of CFD RANS-SST simulations has been performed at the Reynolds Number 3.2×106 by a commercial code ANSYS CFX 12.1. Mesh convergence is tested and then validated with experimental and empirical results. The drag of each spheroid is compared against the benchmark drag of a single hull. The results show that the spacing between two hulls determines the individual drag and combined drag. The dominant spacing has been classified into seven zones based on the drag characteristic of twin towed models. Regions are characterised to parallel, echelon, no gain, push, drafting, low interaction, and no interaction. Both the multi-vehicle vee and echelon configurations show limited influence against that of the entire fleet׳s energy budget. For an individual spheroid where a lower propulsion cost is required, then the use of three/four in vee or echelon formation should be considered. Based on this numerical information, operators can determine the optimal fleet configuration based on energy considerations.

[1]  Wolf-Heinrich Hucho,et al.  Aerodynamics of Road Vehicles: From Fluid Mechanics to Vehicle Engineering , 2013 .

[2]  C. Rhie,et al.  A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation , 1982 .

[3]  Stephen R. Turnock,et al.  The Use of Computational Fluid Dynamics to Aid Cost-Effective Hydrodynamic Design of Autonomous Underwater Vehicles , 2010 .

[4]  P. Stevenson,et al.  AUV shapes - Combining the Practical and Hydrodynamic Considerations , 2007, OCEANS 2007 - Europe.

[5]  A. Phillips,et al.  The Use of Computational Fluid Dynamics to Assess the Hull Resistance of Concept Autonomous Underwater Vehicles , 2007, OCEANS 2007 - Europe.

[6]  Alfredo Martins,et al.  Coordinated maneuver for gradient search using multiple AUVs , 2003, Oceans 2003. Celebrating the Past ... Teaming Toward the Future (IEEE Cat. No.03CH37492).

[7]  F. Menter.  Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[8]  D. Weihs.  The hydrodynamics of dolphin drafting , 2004, Journal of biology.

[9]  D.L. Odell,et al.  A leader-follower algorithm for multiple AUV formations , 2004, 2004 IEEE/OES Autonomous Underwater Vehicles (IEEE Cat. No.04CH37578).

[10]  R. Goodson,et al.  THE OPTIMUM SHAPING OF AXISYMMETRIC BODIES FOR MINIMUM DRAG IN INCOMPRESSIBLE FLOW , 1972 .

[11]  C. Dalton,et al.  Design of low-drag axisymmetric shapes by the inverse method , 1981 .

[12]  Sutton,et al.  Further Advances in Unmanned Marine Vehicles , 2012 .

[13]  K. Murali,et al.  Application of low-Re turbulence models for flow simulations past underwater vehicle hull forms , 2009 .

[14]  P. G. Sayer,et al.  Flow simulation past axisymmetric bodies using four different turbulence models , 1997 .

[15]  A STUDY OF AUTONOMOUS UNDERWATER VEHICLE HULL FORMS USING COMPUTATIONAL FLUID DYNAMICS , 1997 .

[16]  Francis Juanes,et al.  Estimating the number of fish in Atlantic bluefin tuna schools using models derived from captive school observations , 2001 .

[17]  A. R. Packwood,et al.  The optimum dimensions for a long-range, autonomous, deep-diving, underwater vehicle for oceanographic research , 1994 .

[18]  Yoo Sang Choo,et al.  Leader-follower formation control of underactuated autonomous underwater vehicles , 2010 .

[19]  Stephen R. Turnock,et al.  Comparisons of CFD simulations and in-service data for the self propelled performance of an Autonomous Underwater Vehicle , 2008 .

[20]  R. Neves,et al.  Localization of a fleet of AUVs using visual maps , 2005, Europe Oceans 2005.

[21]  Kristin Y. Pettersen,et al.  Conditional Integrators for Path Following and Formation Control of Marine Vessels under Constant Disturbances , 2009 .

[22]  S. Hoerner.  Fluid Dynamic Drag: Practical Information on Aerodynamic Drag and Hydrodynamic Resistance , 1965 .

[23]  Rita Cunha,et al.  Cooperative Control of Multiple Marine Vehicles Theoretical Challenges and Practical Issues , 2009 .

[24]  Timothy J. Barth,et al.  The design and application of upwind schemes on unstructured meshes , 1989 .

[25]  Estimating the number of fish in Atlantic bluefin tuna (Thunnus thynnus thynnus) schools using models derived from captive school observations , 2001 .

[26]  R. M. Alexander.  Hitching a lift hydrodynamically - in swimming, flying and cycling , 2004, Journal of biology.

[27]  B. Partridge,et al.  The structure of schools of giant bluefin tuna in Cape Cod Bay , 1983, Environmental Biology of Fishes.

[28]  Canal de Experiencias Hidrodinámicas de El Pardo.  19th International Towing Tank Conference, 16-22 September 1990, Madrid, Spain : proceedings , 1990 .

[29]  James C. Kinsey.  Drag characterization in the autonomous benthic explorer , 1998, IEEE Oceanic Engineering Society. OCEANS'98. Conference Proceedings (Cat. No.98CH36259).

[30]  Shuzhi Sam Ge,et al.  Leader-follower formation control of underactuated AUVs with leader position measurement , 2009, 2009 IEEE International Conference on Robotics and Automation.

[31]  Stephen R. Turnock,et al.  Influence of turbulence closure models on the vortical flow field around a submarine body undergoing steady drift , 2010 .

[32]  Chester R. Kyle,et al.  Reduction of Wind Resistance and Power Output of Racing Cyclists and Runners Travelling in Groups , 1979 .

[33]  D.L. Odell,et al.  Two-hydrophone heading and range sensor applied to formation-flying for AUVs , 2004, Oceans '04 MTS/IEEE Techno-Ocean '04 (IEEE Cat. No.04CH37600).

[34]  D. Weihs,et al.  Aerodynamic Interactions between Adjacent Slender Bodies Instrumentation and Wind Tunnel Testing , 2007, 2007 22nd International Congress on Instrumentation in Aerospace Simulation Facilities.

[35]  Philip A. Wilson,et al.  FREESUB: Dynamic stabilization and docking for autonomous underwater vehicles , 2003 .

[36]  Hanumant Singh,et al.  Power systems for autonomous underwater vehicles , 2001 .

[37]  M. Andersson,et al.  Kin selection and reciprocity in flight formation , 2004 .

[38]  V. G. Idichandy,et al.  Experimental investigation of hydrodynamic force coefficients over AUV hull form , 2009 .

[39]  Albert M. Bradley,et al.  Low Power Navigation And Control For Long Range Autonomous Underwater Vehicles , 1992 .

[40]  James G. Bellingham,et al.  Optimizing AUV oceanographic surveys , 1996, Proceedings of Symposium on Autonomous Underwater Vehicle Technology.

[41]  João Paulo Vilas-Boas,et al.  Analysis of drafting effects in swimming using computational fluid dynamics. , 2008, Journal of sports science & medicine.

[42]  Lionel Lapierre,et al.  Freesub: Navigation Guidance and Control of an IAUV , 2004 .

[43]  Wind tunnel investigation of a pair of ellipsoids in close proximity , 1997 .

[44]  P. A. Wilson,et al.  Numerical investigation of the drag of twin prolate spheroid hulls in various longitudinal and transverse configurations , 2012, 2012 IEEE/OES Autonomous Underwater Vehicles (AUV).