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Efficient implementation of a numerical model for flexible net structures

机译：柔性网络结构数值模型的有效实现

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A numerical model for the determination of the deformed shape of nets fixed in a stiff frame is presented. The tension element method is able to predict the steady-state solution of a net in a prescribed flow under consideration of hydrodynamic loads and elastic twines. It is based on a discretisation of the net in mass points connected with straight bars. The successive approximation is applied to the system which leads to a significant reduction of the resulting system size in comparison to the matrix of a Newton-Raphson method. This is caused by the ability to solve the system for unit bar vectors and not for knots. Thus, the inverse can be calculated faster and more stable. So far, the advantage of high accuracy and physical comprehensibility by taking geometrical constraints into account is balanced by the difficulties in defining the essential directions of unit vectors properly. The new implementation provides this information using an efficient technique which is adapted from finite volume methods. Measurements are provided in order to validated the method at the end of this paper. A comparison shows the principal working of the code as well as the high accuracy of the method for steady-state problems.
机译：提出了用于确定固定在刚性框架中的网的变形形状的数值模型。张力元法能够在考虑水动力载荷和弹性麻线的情况下预测网状结构在规定流量中的稳态解。它基于与直条连接的质量点的离散化。逐次逼近应用于系统，与牛顿-拉夫森方法的矩阵相比，可以显着减小系统的尺寸。这是由于有能力将系统求解单位条形矢量而不是结。因此，可以更快，更稳定地计算逆。迄今为止，考虑到几何约束的高精度和物理可理解性的优点与正确定义单位矢量的基本方向的困难相平衡。新的实现使用一种有效的技术来提供此信息，该技术是从有限体积方法改编而来的。本文末尾提供了测量方法以验证该方法。通过比较可以看出代码的主要工作原理以及稳态问题方法的高精度。

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