A coupled analysis of nonlinear sloshing and ship motion

Nonlinear interactions among incident wave, tank-sloshing and floating body coupling motion are investigated. The fully nonlinear sloshing and body-surface nonlinear free surface hydrodynamics is simulated using a Non-Uniform Rational B-Spline (NURBS) higher-order panel method in time domain based on the potential theory. A robust and stable improved iterative procedure (Yan and Ma, 2007) for floating bodies is used for calculating the time derivative of velocity potential and floating body motion. An energy dissipation condition based on linear theory adopted by Huang (2011) is developed to consider flow viscosity effects of sloshing flow in nonlinear model. A two-dimensional tank model test was performed to identify its validity. The present nonlinear coupling sway motion results are subsequently compared with the corresponding Rognebakke and Faltinsen (2003)’s experimental results, showing fair agreement. Thus, the numerical approach presented in this paper is expected to be very efficient and realistic in evaluating the coupling effects of nonlinear sloshing and body motion.

[1]  Masashi Kashiwagi,et al.  A Time-Domain Nonlinear Simulation Method for Wave-Induced Motions of a Floating Body , 1998 .

[2]  Weoncheol Koo,et al.  Freely floating-body simulation by a 2D fully nonlinear numerical wave tank , 2004 .

[3]  D. Sen.  NUMERICAL SIMULATION OF MOTIONS OF TWO-DIMENSIONAL FLOATING BODIES , 1993 .

[4]  Bo-Woo Nam,et al.  Study on coupling effects of ship motion and sloshing , 2007 .

[5]  C. W. Gear,et al.  Numerical initial value problem~ in ordinary differential eqttations , 1971 .

[6]  Odd M. Faltinsen,et al.  Coupling of Sloshing and Ship Motions , 2003 .

[7]  Kenji Kawano,et al.  Dynamic Coupling of Seakeeping And Sloshing , 2003 .

[8]  Q. W. Ma,et al.  Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method , 2007, J. Comput. Phys..

[9]  R. Eatock Taylor,et al.  Finite element analysis of two-dimensional non-linear transient water waves , 1994 .

[10]  Giorgio Contento.  Nonlinear Phenomena In the Motions of Unrestrained Bodies In a Numerical Wave Tank , 1996 .

[11]  G. Wu,et al.  HYDRODYNAMIC FORCE ON A RIGID BODY DURING IMPACT WITH LIQUID , 1998 .

[12]  Yonghwan Kim,et al.  A Numerical Study on Sloshing Flows Coupled with Ship Motion—The Anti-Rolling Tank Problem , 2002 .

[13]  J. N. Reddy,et al.  A 3D fully coupled analysis of nonlinear sloshing and ship motion , 2012 .

[14]  Q. Ma,et al.  An approximation to energy dissipation in time domain simulation of sloshing waves based on linear potential theory , 2011 .

[15]  Debabrata Sen,et al.  The Simulation of Ship Motions Using a B-Spline–Based Panel Method in Time Domain , 2007 .