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Exact evaluation of hydrodynamic loads on ships using NURBS surfaces and acceleration potential

机译：使用NURBS表面和加速潜力精确评估船上的水动力载荷

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摘要

The development of an accurate surface intersecting methodology and adaptive acceleration potential scheme, in order to precisely compute pressure on the wet surface of ships hulls, is presented. Non-Uniform Rational B-Spline (NURBS) surfaces are used to describe the ships hulls and the free surface evolutions. The intersection of free surface with ship hull is found by solving the resultant system of equations yielded from surface intersecting scheme. The pressure distribution over the exact wet surface of ship hull surface is obtained based on acceleration potential in a time domain simulation. Hence, implicit body boundary condition is applied to evaluate the time derivative of velocity potential on the hull surface in a fully nonlinear numerical wave tank. On the other hand, tangential derivatives of the velocity potential on the wet surface are approximated by B-Spline surface. Wave propagation is considered to examine the accuracy and convergence of the present solution. Motions of a Wigley hulls in linear wave are compared with experimental measurements and prior numerical solutions to verify the present numerical procedure. Also, fully nonlinear motions of a Wigley hull in nonlinear wave is simulated.
机译：为了精确计算船体湿表面上的压力，提出了一种精确的表面相交方法和自适应加速潜力方案的开发。非均匀有理B样条（NURBS）曲面用于描述船体和自由曲面的演变。自由表面与船体的相交是通过求解由表面相交方案产生的方程组得出的。在时域模拟中，基于加速度潜势获得了船体表面精确的湿表面上的压力分布。因此，将隐式物体边界条件应用于评估完全非线性数值波箱中船体表面速度势的时间导数。另一方面，在湿表面上速度势的切向导数由B样条曲线表面近似。考虑了波传播以检查本解决方案的准确性和收敛性。将Wigley船体在线性波中的运动与实验测量值和现有的数值解进行比较，以验证当前的数值程序。此外，还模拟了Wigley船体在非线性波中的完全非线性运动。

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