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A Seakeeping Computation Method Considering Fully Nonlinear Steady Wave Field by Mirel Nechita
[object Object],[object Object],[object Object],[object Object],Developed Codes: - Steady Flow  Linear (UF, DBF) Nonlinear (FNL) -Unsteady Flow (UF, DBF, FNL) - H ybrid  M ethod (DBF, FNL)
MATHEMATICAL FORMULATIONS   ,[object Object],[object Object],[object Object],[object Object],[object Object],Total potential Exact free surface boundary condition (1) (2)
STEADY FLOW Boundary conditions for iterative scheme: Steady wave elevation and steady pressure (4) (5) (3)
UNSTEADY FLOW Boundary conditions (6) (7) Where (8)
Hydrodynamic forces Unsteady waves (9) (10) (12) Ship motions (11)
[object Object],[object Object],[object Object],[object Object],NUMERICAL   METHOD
Ship hull form of Series-60 (Cb=0.8)  N H =1320
Computational grids of Series-60, Cb=0.8 (N H =1320, N F =1717)
Steady wave distribution for Series-60 (Cb=0.8)  along several longitudinal axes at Fn=0.2
Contour plots of the steady wave  for Series-60 (Cb=0.8)
Hull discretization for Series-60, Cb=0.8 - unsteady problem
Added mass and damping coefficients for heave and  pitch for Series-60 (Cb=0.8) at Fn=0.2
Wave exciting forces and moment for Series-60  (Cb=0.8) at Fn=0.2,   =180 degs.
Ship motions for Series-60 (Cb=0.8)  at Fn=0.2,   =180 degs.
Contour plots of heave radiation wave for Series-60 (Cb=0.8) at Fn=0.2, KL=24.0 and t=0
Contour plots of diffraction wave for Series-60 (Cb=0.8) at Fn=0.2,   /L=0.5,   =180 degs. and t=0
Ship hull form of Series-60 (Cb=0.6) N H =1320
Steady wave cuts for Series-60 at Fn=0.2 (Cb=0.6 left, Cb=0.8 right)
Steady wave contour plots for Series-60,  slender model (Cb=0.6) at Fn=0.2
Wave exciting forces and moment  for Series-60 at Fn=0.2,   =180 degs.
[object Object],[object Object],[object Object],Conclusions  RPM
HYBRID   METHOD   NEAR FIELD - Desingularized Rankine Panel Method FAR FIELD - Green Function Method
Unsteady potentials for the far field Free surface boundary condition for the far field Artificial surface boundary condition (13) (15) (14)
Side wall effect on the unsteady wave Fn=0.2 , KL=2.0 (  =0.283) Fn=0.2 , KL=1.3 (  =0.23)
Computational grids of Series-60  utilized in Hybrid Method
Coupled added mass and damping coefficients  for heave and pitch for Series-60 (Cb=0.6) at Fn=0.2
Wave exciting forces and moment  for Series-60 (Cb=0.6) at Fn=0.2,   =180 degs.
Added mass and damping coefficients  for heave and pitch for Series-60 (Cb=0.8) at Fn=0.2
Contour plot of heave radiation wave for Series-60 (Cb=0.8) at Fn=0.2, KL=1.32,   =0.23
Perspective view of heave radiation wave for  Series-60 (Cb=0.8) at Fn=0.2, KL=1.32,   =0.23
[object Object],[object Object],[object Object],Conclusions  Hybrid Method
Hull discretization for the fast ship N H =1007
Steady wave distributions along ship-side  at Fn=0.6 Improved hull form Initial hull form
Steady wave contour plots, Fn=0.6
Initial hull form Improved hull form Steady pressure distributions on hull, Fn=0.6
Diffraction wave -   7 /A at Fn=0.6,   /L=0.5,   =180º and t=0
[object Object],[object Object]

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Presentation - Seakeping Numerical Method Taking Into Account the Influence of the Steady Wave Field