Analytical models of ship hydrodynamic pressure field with dispersive effect in super-supercritical mixed flow
Analytical models of ship hydrodynamic pressure field with dispersive effect in super-supercritical mixed flow
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DOI：
10.1016/j.oceaneng.2018.08.036
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发表时间：
2018-11
影响因子：
5
通讯作者：
Qing-chang Meng;H. Deng;Ming-yong Hu;Zhi-hong Zhang
中科院分区：
文献类型：
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作者：
Qing-chang Meng;H. Deng;Ming-yong Hu;Zhi-hong Zhang
根据势流理论，考虑色散效应，建立了满足拉普拉斯方程和自由表面、海底边界条件的浅水波动方程。在细长船舶假设和疏浚航道界面连续匹配条件的基础上，分别采用傅里叶积分变换法和有限差分法求解了超超临界混合流的数学问题。同时，推导了超超临界船舶动水压力场的解析模型，并通过进一步的简化推导出了开阔水域和矩形运河的解析模型。分析了具有色散效应的超超临界SHPF的特性，研究了横向距离、内外深、宽度和深度弗劳德数对SHPF的影响。计算结果与实验结果的比较表明，本文所建立的SHPF分析模型是合理、有效和准确的。
According to potential flow theory and considering the dispersive effect, a shallow-water wave equation that satisfies the Laplace equation and free surface and seabed boundary conditions is established in this study. On the basis of the slender ship assumption and continuous matched conditions on the interface of a dredged channel, the mathematical problems of super-supercritical mixed flow are solved by adopting the Fourier integral transform method and the finite difference method, respectively. Meanwhile, the analytical models of super-supercritical ship hydrodynamic pressure field (SHPF) are derived, and those of the open water or rectangular canal can also be deduced by further simplification. The characteristics of super-supercritical SHPF with the dispersive effect are analyzed, and the influences of transverse distance, inner or outer depth, width, and depth Froude number on SHPF are studied. Comparisons between the calculated and experimental results show that the proposed analytical models of SHPF in this research are reasonable, effective, and accurate.