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📋📋📋本文目录如下：🎁🎁🎁

目录

💥1 概述

📚2 运行结果

🌈3 Matlab代码实现

🎉4 参考文献

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💥1 概述

本文包括一些算法来纠正声波风速计的倾斜角度误差，包括Wilczak等人的方法[1]。其他方法是双倍和三倍旋转算法。

本呈件包括：

• 4 个示例文件：一个用于平面拟合算法，一个用于双旋转，一个用于三重旋转，一个用于使用不同检索算法估计摩擦速度。

• 函数倾斜校正.m

• 函数 friction_velocity.m

• 包含模拟风数据的文件 data.mat

参考文献：

下载链接：Sonic Anemometer Tilt Correction Algorithms | SpringerLink 

📚2 运行结果

部分代码：

clearvars;close all;clc;
% load simlated wind velocities
load('data.mat','u','v','w','t')
[M,N]=size(u);

yaw  = 30; % yaw angle (horizontal plane, between u and v)
elev = 3; % elevation angle (vertical plane, between w and u)
incl = 2; % inclination angle (vertical plane, between w and v)

R1 = [cosd(yaw),-sind(yaw),0;sind(yaw),cosd(yaw),0;0,0,1]; % matrix rotation around axis z
R2 = [cosd(elev),0,-sind(elev);0,1,0;sind(elev),0,cosd(elev)]; % matrix rotation around axis zy
R3 = [1,0,0; 0,cosd(incl),-sind(incl);0,sind(incl),cosd(incl)]; % matrix rotation around axis x

A = R1*R2*R3;  % 3D rotation matrix

% Construction of tilted velocity component
u_tilted = zeros(size(u));
v_tilted = zeros(size(u));
w_tilted = zeros(size(u));
for ii=1:M,
    dummy = A\[u(ii,:);v(ii,:);w(ii,:)];
    u_tilted(ii,:) = dummy(1,:);
    v_tilted(ii,:) = dummy(2,:);
    w_tilted(ii,:) = dummy(3,:);
end

clearvars;close all;clc;
% load simlated wind velocities
load('data.mat','u','v','w','t')
[M,N]=size(u);

yaw  = 30; % yaw angle (horizontal plane, between u and v)
elev = 3; % elevation angle (vertical plane, between w and u)
incl = 2; % inclination angle (vertical plane, between w and v)

R1 = [cosd(yaw),-sind(yaw),0;sind(yaw),cosd(yaw),0;0,0,1]; % matrix rotation around axis z
R2 = [cosd(elev),0,-sind(elev);0,1,0;sind(elev),0,cosd(elev)]; % matrix rotation around axis zy
R3 = [1,0,0; 0,cosd(incl),-sind(incl);0,sind(incl),cosd(incl)]; % matrix rotation around axis x

A = R1*R2*R3;  % 3D rotation matrix

% Construction of tilted velocity component
u_tilted = zeros(size(u));
v_tilted = zeros(size(u));
w_tilted = zeros(size(u));
for ii=1:M,
    dummy = A\[u(ii,:);v(ii,:);w(ii,:)];
    u_tilted(ii,:) = dummy(1,:);
    v_tilted(ii,:) = dummy(2,:);
    w_tilted(ii,:) = dummy(3,:);
end

🌈3 Matlab代码实现

🎉4 参考文献

部分理论来源于网络，如有侵权请联系删除。

[1] Wilczak, J. M., Oncley, S. P., & Stage, S. A. (2001). Sonic anemometer tilt correction algorithms. Boundary-Layer Meteorology, 99(1), 127-150.