Steady state analysis of towed marine cables |
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| Authors: | Fei Wang Guo-liang Huang De-heng Deng |
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| Affiliation: | 1. State Key Laboratory of Ocean Engineering,Shanghai Jiaotong University,Shanghai 200240,China;Merchant Marine College,Shanghai Maritime University,Shanghai 200135,China
2. State Key Laboratory of Ocean Engineering,Shanghai Jiaotong University,Shanghai 200240,China |
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| Abstract: | Efficient numerical schemes were presented for the steady state solutions of towed marine cables. For most of towed systems, the steady state problem can be resolved into two-point boundary-value problem, or initial value problem in some special cases where the initial values are available directly. A new technique was proposed and attempted to solve the two-point boundary-value problem rather than the conventional shooting method due to its algorithm complexity and low efficiency. First, the boundary conditions are transformed into a set of nonlinear governing equations about the initial values, then bisection method is employed to solve these nonlinear equations with the aid of 4th order Runge-Kutta method. In common sense, non-uniform (sheared) current is assumed, which varies in magnitude and direction with depth. The schemes are validated through the DE Zoysa's example, then several numerical examples are also presented to illustrate the numerical schemes. |
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| Keywords: | towed cable nested bisection method Runge-Kutta method non-uniform current numerical simulation |
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