Coupling Model for Real-Time Simulation of a Sailing Ship’s Motion under the Influence of Irregular Waves and Wind

A. L. Zheleznyakova
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Abstract

The development of the interactive models for coupled dynamics of floating bodies in changing environments and wind-wave-body interactions is of paramount importance. This study presents a computationally cost-effective approach that implements the simplified but physically based submodels combined into a single system. A realistic geometric model of a complex-shaped sailing ship, which is rigged with adjustable sails and steered by a rudder, is selected as the object of numerical research. The irregular wind waves are simulated using in situ records of the sea surface, probability description, and inverse fast Fourier transform. The complicated geometries of a floating object and arbitrary overwater obstacles, as well as a changeable sea surface, are represented as high-resolution triangular meshes. A six-degrees-of-freedom motion model for an immersed rigid body is also integrated. A technique for the computation of wind loads on arbitrary-shaped adjustable sails, a ship’s hull, masts, and superstructures is proposed. The ship-generated waves that propagate and reflect off arbitrary obstacles are modeled using the linearized wave theory in conjunction with the two-dimensional convolution and masking operations, which are applied to the wave height field. A combination of the above approaches allows real-time conjugate modeling of the dynamics of a ship exposed to wind and irregular waves. A real sailing ship and a virtual one are compared using an experimental polar diagram in terms of the speed characteristics.

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不规则波浪和风影响下帆船运动的实时模拟耦合模型
摘要 开发变化环境中浮体耦合动力学和风-波-体相互作用的交互模型至关重要。本研究提出了一种具有计算成本效益的方法,将简化但基于物理的子模型结合到一个系统中。数值研究的对象是一艘形状复杂的帆船,船上装有可调节的风帆,并由船舵操纵。利用海面的现场记录、概率描述和反快速傅立叶变换对不规则风浪进行了模拟。浮动物体和任意水上障碍物以及多变海面的复杂几何形状用高分辨率三角形网格表示。此外,还集成了浸没刚体的六自由度运动模型。提出了一种计算任意形状可调风帆、船体、桅杆和上层建筑上风载荷的技术。利用线性化波浪理论,结合二维卷积和屏蔽运算,对任意障碍物传播和反射的船舶产生的波浪进行建模,并将其应用于波高场。将上述方法结合起来,就可以对受到风和不规则波浪影响的船舶动态进行实时共轭建模。利用实验极坐标图对真实帆船和虚拟帆船的速度特性进行了比较。
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Mathematical Models and Computer Simulations
Mathematical Models and Computer Simulations Mathematics-Computational Mathematics
CiteScore
1.20
自引率
0.00%
发文量
99
期刊介绍: Mathematical Models and Computer Simulations  is a journal that publishes high-quality and original articles at the forefront of development of mathematical models, numerical methods, computer-assisted studies in science and engineering with the potential for impact across the sciences, and construction of massively parallel codes for supercomputers. The problem-oriented papers are devoted to various problems including industrial mathematics, numerical simulation in multiscale and multiphysics, materials science, chemistry, economics, social, and life sciences.
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