Abstract
In this paper, we describe the details of our numerical model for simulating ship solid-body motion in a given environment. In this model, the fully nonlinear dynamical equations governing the time-varying solid-body ship motion under the forces arising from ship–wave interactions are solved with given initial conditions. The net force and moment (torque) on the ship body are directly calculated via integration of the hydrodynamic pressure over the wetted surface and the buoyancy effect from the underwater volume of the actual ship hull with a hybrid finite-difference/finite-element method. Neither empirical nor free parametrization is introduced in this model, i.e. no a priori experimental data are needed for modelling. This model is benchmarked with many experiments of various ship hulls for heave, roll and pitch motion. In addition to the benchmark cases, numerical experiments are also carried out for strongly nonlinear ship motion with a fixed heading. These new cases demonstrate clearly the importance of nonlinearities in ship motion modelling.
Highlights
For many decades, much effort has been devoted to modelling a ship’s motion at sea in naval architecture (Lewis 1989)
In a more recent review by Beck & Reed (2000), approximately 80 per cent of ship motion models are based on the strip theory for its simple numerical implementation and its flexibility on ship hull forms
In the first phase of our effort (Lin & Kuang 2004, 2006; Lin et al 2005), we developed a ‘steady ship motion model’ in which only the nonlinear interactions of surface waves are simulated
Summary
BY RAY-QING LIN1,* AND WEIJIA KUANG2 1David Taylor Model Basin, Carderock Division, NSWCCD, West Bethesda, MD, USA 2NASA Goddard Space Flight Center, Greenbelt, MD, USA. We describe the details of our numerical model for simulating ship solidbody motion in a given environment In this model, the fully nonlinear dynamical equations governing the time-varying solid-body ship motion under the forces arising from ship–wave interactions are solved with given initial conditions. Neither empirical nor free parametrization is introduced in this model, i.e. no a priori experimental data are needed for modelling This model is benchmarked with many experiments of various ship hulls for heave, roll and pitch motion. In addition to the benchmark cases, numerical experiments are carried out for strongly nonlinear ship motion with a fixed heading. These new cases demonstrate clearly the importance of nonlinearities in ship motion modelling
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