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Title: | Constant acceleration exit of two-dimensional free-surface-piercing bodies |
Authors: | Greenhow, MJL Rajavaheinthan, R |
Keywords: | Water exit;Nonlinear free surface;Complex potential;Conformal mapping;Added-mass force;IBVP |
Issue Date: | 2015 |
Publisher: | Elsevier |
Citation: | Applied Ocean Research, 2014 |
Abstract: | The forced constant acceleration exit of two-dimensional bodies through a free-surface is computed for various 2D bodies (symmetric wedges, asymmetric wedges, truncated wedges and boxes). The calculations are based on the fully non-linear time-stepping complex-variable method of Vinje and Brevig (1981). The model was formulated as an initial boundary-value problem (IBVP) with boundary conditions specified on the boundaries (dynamic and kinematic free-surface boundary conditions) and initial conditions at time zero (initial velocity and position of the body and free-surface particles). The formulated problem was solved by means of a boundary-element method using collocation points on the boundary of the domain and stepped forward in time using Runge–Kutta and Hamming predictor–corrector methods. Numerical results for the deformed free-surface profile, pressure along the wetted region of the bodies and force experienced by the bodies are given for the exit. The analytical added-mass force is presented for the exit of symmetric wedges and boxes with constant acceleration using conformal mappings. To verify the numerical results, the added-mass force and the numerical force are compared and give good agreement for the exit of a symmetric wedge at a time zero (t = 0) as expected but only moderate agreement for the box. |
URI: | http://bura.brunel.ac.uk/handle/2438/9752 |
Appears in Collections: | Dept of Mathematics Research Papers |
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