A slender ship moving at a near-critical speed in a shallow channel
A slender ship moving at a near-critical speed in a shallow channel
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DOI：
10.1017/s0022112095002692
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发表时间：
1995-05
影响因子：
3.7
通讯作者：
Xue-nong Chen;S. Sharma
中科院分区：
文献类型：
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作者：
Xue-nong Chen;S. Sharma
所解决的问题涉及一艘细长的船舶在浅水航道中以近临界稳定速度移动，不一定是对称结构，涉及孤立波产生的特殊现象。通过使用匹配渐近展开技术和非线性浅水波理论，问题被简化为远场中的 Kadomtsev-Petviashvili 方程，并与改进的细长体理论获得的近场解相匹配，同时考虑了局部波高程和纵向扰动速度。该船可以是固定式的，也可以是自由蹲式的。除波型和波阻外，还通过固定船体情况下的压力积分计算水动力升力和纵倾力矩；根据自由船体情况下的水动力平衡条件，运行下沉和纵倾。求解 KP 方程的数值过程由有限差分法组成，即每半步采用 Crank-Nicolson 类方案的分数步算法。计算结果与多个已发表的船模实验和其他理论预测进行了比较；表现出令人满意的一致性。
The problem solved concerns a slender ship moving at a near-critical steady speed in a shallow channel, not necessarily in symmetric configuration, involving the special phenomenon of generation of solitary waves. By using the technique of matched asymptotic expansions along with nonlinear shallow-water wave theory, the problem is reduced to a Kadomtsev–Petviashvili equation in the far field, matched with a nearfield solution obtained by an improved slender-body theory, taking the local wave elevation and longitudinal disturbance velocity into account. The ship can be either fixed or free to squat. Besides wave pattern and wave resistance, the hydrodynamic lift force and trim moment are calculated by pressure integration in the fixed-hull case; running sinkage and trim, by condition of hydrodynamic equilibrium in the free-hull case. The numerical procedure for solving the KP equation consists of a finite-difference method, namely, fractional step algorithm with Crank–Nicolson-like schemes in each half step. Calculated results are compared with several published shipmodel experiments and other theoretical predictions; satisfactory agreement is demonstrated.