当前位置: X-MOL 学术Coast. Eng. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Equation for ship wave crests in a uniform current in the entire range of water depths
Coastal Engineering ( IF 4.2 ) Pub Date : 2021-05-12 , DOI: 10.1016/j.coastaleng.2021.103900
Byeong Wook Lee , Changhoon Lee

An equation of y/x for ship wave crests in a uniform current in the entire range of water depths is developed using the characteristics that the velocity potential is stationary in a ship-moving frame and the ship waves propagate in group velocity, and using the linear dispersion relation. For waves with no current, the developed equation is reduced to the equation of Lee and Lee (2019). Further, in deep water with no current, the developed equation is reduced to the equation of Kelvin (1906). The locations of ship wave crests in the x- and y-directions are obtained using a dimensionless constant C. Numerical experiments are conducted using the FLOW-3D model to simulate ship wave propagation in a current. It is found that the ship wave crest pattern of the numerical solution is similar to the present theory in the entire range of water depths. When the ship moves obliquely to the current direction, the ship-wave crest pattern becomes asymmetric to the current direction. With the increase of ship speed, the Froude number increases and the wavelength increases. When the Froude number is greater than or equal to unity, the ray distances become infinitely large near the cusp locus angle. The present theory predicts the ray distances slightly larger than the FLOW-3D solution because the present theory neglects the decrease of wavelength due to energy loss.



中文翻译:

在整个水深范围内均匀电流下的船波峰方程

的等式 ÿ/X利用在船移动框架中速度势是固定的并且船波以群速度传播的特性,并利用线性弥散关系,开发了在整个水深范围内均等电流下的船波峰。对于没有电流的波,已发展的方程式简化为Lee和Lee(2019)的方程式。此外,在没有电流的深水中,所开发的方程式简化为Kelvin(1906)的方程式。船上波峰的位置X- 和 ÿ-方向是使用无量纲常数获得的 C。使用FLOW-3D模型进行了数值实验,以模拟船波在电流中的传播。结果表明,在整个水深范围内,数值解的船波峰模式与本理论相似。当船舶向当前方向倾斜移动时,船舶波峰图案与当前方向不对称。随着船速的增加,弗洛伊德数增加,波长增加。当弗洛德数大于或等于1时,射线距离在尖点轨迹角附近无限大。本理论预测的射线距离略大于FLOW-3D解决方案,因为本理论忽略了由于能量损失而导致的波长减小。

更新日期:2021-05-24
down
wechat
bug