PHYSICAL AND NUMERICAL MODELLING OF THE DYNAMIC BEHAVIOR OF A FLY LINE
PHYSICAL AND NUMERICAL MODELLING OF THE DYNAMIC BEHAVIOR OF A FLY LINE
复制标题
飞线动态行为的物理和数值模拟
DOI：
10.1006/jsvi.2001.4180
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发表时间：
2002
影响因子：
4.7
通讯作者：
N. Perkins
中科院分区：
文献类型：
--
作者：
C. Gatti;N. Perkins
推导了受到张力、弯曲、气动阻力和重量作用的锥形飞线的平面运动方程。由此产生的理论描述了线在飞抛过程中形成传播回路时的大非线性变形。抛投是由飞钓竿尖端的运动引发的，代表飞钓线一端的边界条件。在另一端，边界条件描述了附着的小苍蝇（具有空气阻力的点质量）的运动方程。回顾了一种有效的数值算法，该算法捕获描述环路的非线性波的起始和传播。该算法由三个主要步骤组成。首先，使用时间有限差分将非线性初始边值问题转化为两点边值问题。由此产生的非线性边值问题被线性化，然后转化为空间中的初值问题。提供的示例结果说明了头顶铸件如何从描述完美布局的后铸件的初始条件发展而来。数值解用于探索飞蝇铸造中两个样本效应的影响，即附着的飞蝇产生的阻力和杆尖路径的形状。
The planar equations of motion for a tapered fly line subjected to tension, bending, aerodynamic drag, and weight are derived. The resulting theory describes the large non-linear deformation of the line as it forms a propagating loop during fly casting. A cast is initiated by the motion of the tip of the fly rod that represents the boundary condition at one end of the fly line. At the opposite end, the boundary condition describes the equations of motion of a small attached fly (point mass with air drag). An efficient numerical algorithm is reviewed that captures the initiation and propagation of a non-linear wave that describes the loop. The algorithm is composed of three major steps. First, the non-linear initial-boundary-value problem is transformed into a two-point boundary-value problem, using finite differencing in time. The resulting non-linear boundary-value problem is linearized and then transformed into an initial-value problem in space. Example results are provided that illustrate how an overhead cast develops from initial conditions describing a perfectly laid out back cast. The numerical solutions are used to explore the influence of two sample effects in fly casting, namely, the drag created by the attached fly and the shape of the rod tip path.