Flow‐induced vibrations of non‐linear cables. Part 1: Models and algorithms

Abstract

SUMMARYIn this paper, we develop governing equations for non-linear cables as well as a formulation for the coupled ow-structure problem. The structure is discretized with second-order accuracy while the ow is discretized using spectral=hp elements in the context of the arbitrary Lagrangian-Eulerian formulation (ALE). Several benchmark problems are considered and the computational implementation is detailed. In the second part of this work large-scale simulation examples are presented.

Flow‐induced vibrations of non‐linear cables. Part 2: Simulations

“…For all the simulations presented in this section we used a Poisson ratio P =1=2 tension model, see Reference [1]. The reference position was the straight stretched string, with tension T r =44:1, a relatively low value for vortex-induced vibrations in water.…”

“…We will use the spectral=hp element code N ÄT r that employs an Arbitrary Lagrangian-Eulerian (ALE) formulation, as described in Reference [1]. All simulations are performed in parallel using a domain decomposition technique which is described in detail in Reference [13].…”

“…The objective of the present work and Part 1 [1] is to bridge the gap that exists between studies of non-linear dynamic models for general type cables and direct numerical simulations of ow past simple string=beam models. The former typically assumes a simplistic or empirical representation of excitation forces but provides very accurate models for the non-linear dynamic response of the cable allowing realistic description of both steel cables and synthetic cables with non-linear tension-strain relationship.…”

“…They have been derived in the ÿrst part of this work [1]; see also the general case of a suspended elastic sagged cable [6], including mass suspensions (e.g. arrays of weights, instruments, buoyancy elements, acoustic receivers) [7].…”

Efficient Computational Prototyping of Mixed Technology Microfluidic Components and Systems

“…In Figure 4 is presented the hierarchy of the Nεκταr code for transient nonlinear flow analysis (4,5). The "2d" and "3d" refers to two-dimensions and three-dimensions, respectively.…”