Unfrozen skewed turbulence for wind loading on structures

The present repository includes the Matlab source code used to generate skewed turbulence for wind loading on structures, as presented in [1]. Topic of interests are: wind engineering, structural dynamics, random processes, structural analysis, boundary layer meteorology, atmospheric science (turbulence)

Content

The repository contains:

• A Matlab livescript Documentation.mlx showing the case of a Diamond geometry

• A Matlab livescript regular_grid.mlx showing the case of a regulat grid and data are saved in a format similar to windSimFast

• The Matlab function windSim4D, which generate the wind field on a 4D grid (3 spatial dimensions, one temporal one)

• The functions getTargetSpectra, which computes the 1-point auto and cross-spectral densities used as input

• The functions getRegularGrid, which setup the regular grid for the Example case 2.

• The function getSamplingPara that provides the time and frequency vector for the initialisation of the simulation

• The function WindToBridgeBase, which projects the horizontal wind field (u,v) onto the structural elements. This leads to a wind field (vx0,vy0). The name of the function "WindToBridgeBase" comes from the fact that it was first applied for the case of a horizontal bridge deck.

• The function PlotWindProjection, which shows the wind speed components (u,v) and (ux0,vy0) in the wind-based coordinate system and the structure-based coorindate system

• The function frictionVelocity, which estimate the friction velocity from the simulated velocity histories.

• The function plotSpectra, which compares the target and simulated velocity spectra.

• The function coherence, which provides the co-coherence and quad-coherence estimates.

• The functions plotCoh_diamond and plotQuadCoh_diamond, which are used in the tutorial only and compare the target and estimated co-coherence and quad-coherence, respectively

• The function ** nearestneighbour.m** [2] This is the first version of the submission. Some bugs may still be present. Any question or comment is welcome

References

[1] Cheynet E, Daniotti N, Bogunović Jakobsen J, Snæbjörnsson J, Wang J. Unfrozen Skewed Turbulence for Wind Loading on Structures. Applied Sciences. 2022; 12(19):9537. https://doi.org/10.3390/app12199537 [2] Richard Brown (2023). nearestneighbour.m (https://www.mathworks.com/matlabcentral/fileexchange/12574-nearestneighbour-m), MATLAB Central File Exchange. Retrieved June 9, 2023.