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FPSO Roll Prediction and Mitigation. May 1, 2003. The University of Texas at Austin Ocean Engineering Group http://cavity.ce.utexas.edu. Prof. Spyros A. Kinnas , Principal Investigator ( Email: kinnas@mail.utexas.edu ) Dr. Hanseong Lee , Post-doctoral Fellow
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FPSO Roll Prediction andMitigation May 1, 2003 The University of Texas at Austin Ocean Engineering Group http://cavity.ce.utexas.edu Prof. Spyros A. Kinnas, Principal Investigator (Email: kinnas@mail.utexas.edu) Dr. Hanseong Lee, Post-doctoral Fellow Mr. Yi-Hsiang Yu, Doctoral Graduate Student Mr. Bharani Kacham, MS Graduate Student Supported by OTRC
Introduction • Objectives - Develop accurate computationally efficient model to predict the hydrodynamic coefficients of FPSO hulls in roll motions. - Investigate effectiveness of bilge keels (size, shape, location across and extent along the hull) on roll mitigation.
Related Publications • Kakar, K., “Computational Modeling of FPSO Hull Roll Motions and Two-Component Marine Propulsion Systems”, MS Thesis, Department of Civil Engineering, The University of Texas at Austin, August 2002 • Kinnas, S.A., Yu, Y-H, Kacham, B. and Lee, H.S., “A model of the flow around bilge keels of FPSO hull sections subject to roll motions”, Proceedings of the 12th Offshore Symposium, Texas section of the SNAME, February, 2003, Houston, Texas • Kinnas, S.A., Yu, Y-H, Lee, H.S., and Kakar, K., “Modeling of Oscillating Flow Past a Vertical Plate”, ISOPE, May, 2003, Honolulu, Hawaii
Oscillating Flow Past a Flat Plate Sarpkaya & O’Keefe’s Experiment (1995)
Comparison of hydrodynamic coefficients predicted from Euler, Navier-Stokes solvers and Sarpkaya’s measurements Oscillating Flow Past a Flat Plate Inertia Coefficients (Cm) Drag Coefficients (Cd)
Vorticity & Streamlines at t=0xT (KC=1) • Vorticity & Streamlines at t=T/4 (KC=1) Navier-Stokes Solver Euler Solver
Vorticity & Streamlines at t=T/2 (KC=1) • Vorticity & Streamlines at t=3T/4 (KC=1) Euler Solver Navier-Stokes Solver
Movie (KC=1)
Movie (KC=10)
FPSO Hull Motion • Fluid domain and Boundary Conditions (Euler Solver)
Grid and Geometry Details FPSO Hull Motion
Hydrodynamic coefficients for Heave motion FPSO Hull Motion
FPSO Hull Motion (Preliminary Results) • Hydrodynamic coefficients for various sizes of bilge keel for Roll motion b=B/2 Damping Coefficients
FPSO Hull Motion(Preliminary Results) • Comparison of hydrodynamic coefficients for roll motion with [Vugts, J., 1968] : No bilge keel Note: These results are the same as those from potential flow, due to the absence of bilge keel.
FPSO Hull Motion (Preliminary Results) • Comparison of hydrodynamic coefficients for roll motion with [Yeung et al, 2000] : 4% bilge keel
Froude Number: • Vorticity contour and Streamlines for roll motion (6% bilge keel, roll angle=0.05(rad), and Fn = 0.8) t = T/4 t = 0xT t = T/2 t = 3T/4
Oscillating flow around fixed FPSO Hull w/o free surface (FLUENT)
Oscillating flow around fixed FPSO Hull w/o free surface (FLUENT) • Effect of Reynolds Number A U: Max speed of bilge keel
Oscillating flow around fixed FPSO Hull w/o free surface (FLUENT) Vorticity patterns at different instants of time t = 0 t = T/4 t = 2T/4 t = 3T/4
Oscillating flow around fixed FPSO Hull w/o free surface (FLUENT)
Conclusions • Developed CFD model to solve the Euler equations around a flat plate and an FPSO hull subject to roll motions • Validated the present method: - Flat plate subject to an oscillating flow: Euler solver predicts comparable flow patterns and forces with Navier-Stokes solver. - Hull in Roll motion: The effect of Reynolds number on the separated flow around a bilge keel was investigated by using the commercial code, FLUENT, and was found not to be significant.
Future Work • Apply the current Navier-Stokes method on 2-D hull motions with and without bilge keels.Continue validation with other methods, and existing experiments. • Apply the modified hydrodynamic coefficients on an FPSO hull, using strip theory, and correct predictions from potential flow solvers. Validate with experiments at OTRC’s Wave Basin. • Develop fully 3-D method for FPSO hulls, to assess the above model and include effects of “lift” on the bilge keel.