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allAvgV0928.m
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allAvgV0928.m
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clc; clear all; close all; tic;
addpath(genpath('D:\Papers and Data\Scitech 2020\Data\BOS\BOS_validation_supersonic_07232019\PIVmLibrary'))
MatLabSettings
load('ML.mat')
fb = 3;
ph = 80;
% kgd = 0.238e-3;
kgd = 0.0023;
%% Create list of images to analyze.
numbers = ListPIVimages( img,{'AvgV'});
dt = 21171.8*1e-6;
disp([num2str(1) ': ' strjoin(img(1).info) ' ...'])
% Load image
[x1,y1,U1,V1] = showimx(img(1).raw);
vel1 = sqrt(U1.^2 + V1.^2);
% Plot:
figure(1)
pcolor(x1,y1,vel1);
shading flat
colormap('jet(4096)')
%% Draw ROI (square) and then double click to proceed
% Note: there is a bug in the drawrectangle commands such that the size
% in x and y is off by one. Redraw and try again in this case.
h = drawrectangle(gca,'AspectRatio',1,'FixedAspectRatio',1);
pos = customWait(h);
%% Crop to selection
xmin_pos = find(abs(x1(:,1)-pos(1,1))<1.5,1);
xmax_pos = find(abs(x1(:,1)-pos(3,1))<1.5,1);
ymax_pos = find(abs(y1(1,:)-pos(1,2))<1.5,1);
ymin_pos = find(abs(y1(1,:)-pos(2,2))<1.5,1);
x = x1(xmin_pos:xmax_pos,ymin_pos:ymax_pos)-x1(xmin_pos,1);
y = y1(xmin_pos:xmax_pos,ymin_pos:ymax_pos)-y1(1,ymax_pos);
vel = vel1(xmin_pos:xmax_pos,ymin_pos:ymax_pos);
U = U1(xmin_pos:xmax_pos,ymin_pos:ymax_pos);
V = V1(xmin_pos:xmax_pos,ymin_pos:ymax_pos);
epx = (U*dt);
epy = (V*dt);
width = size(x,1);
height = size(x,2);
figure(2)
pcolor(x,y,epy);
shading interp
colormap('jet(4096)')
colorbar;
%% Interpolate to modify grid spacing
x = x./1000;
y = y./1000;
L = max(x(:,1));
x = x./max(x(:,1));
y = y./max(y(1,:));
N = 100;
x_interp = linspace(0,1,N);
y_interp = fliplr(x_interp);
xnew = ones(size(x_interp,2),size(x_interp,2));
ynew = xnew;
xnew = xnew.*x_interp';
ynew = ynew.*y_interp;
epx_new = interp2(x(:,1),y(1,:),epx,xnew(:,1),ynew(1,:));
epy_new = interp2(x(:,1),y(1,:),epy,xnew(:,1),ynew(1,:));
% Want to compare?
% figure(5)
% pcolor(x,y,epx); shading interp;
% colorbar;
% figure(6)
% pcolor(xnew,ynew,epx_new); shading interp;
% colorbar;
%% Refractive index
eta0 = 1.00029;
rho_air = 1.204;
zd = 394.335e-3; % Distance of background from schliere
h = 72.54e-3; % Width of the schliere - taken from wedge dimensions
M = 0.022; %scale factor * size of 1 pixel
etax = eta0*L*epx_new/(M*zd*h*rho_air);
etay = eta0*L*epy_new/(M*zd*h*rho_air);
epsilon_x = etax./kgd;
epsilon_y = etay./kgd;
detax = zeros(N-2,N-2);
detay = zeros(N-2,N-2);
for i = 2:N-1
for j = 2:N-1
detax(i-1,j-1)=(etax(i+1,j)-etax(i-1,j))/2*(abs(xnew(2,1)-xnew(1,1)));
detay(i-1,j-1)=(etay(i,j+1)-etay(i,j-1))/2*(abs(ynew(1,1)-ynew(1,2)));
end
end
x2 = xnew(2:end-1,2:end-1);
y2 = ynew(2:end-1,2:end-1);
%% Define RHS
rhs = (detax+detay)./kgd;
figure(3)
pcolor(diff(epsilon_x));
shading interp
colormap('jet(4096)')
colorbar;
% for laplace equation set rhs to 0
r1 = zeros(size(etax,1),size(etax,1));
[rho,k,dx,dy] = Poisson_equation_2D(x2,y2,r1,r1);
% [rho,k,dx,dy] = Poisson_equation_2D(x2,y2,etax/kgd,etay/kgd);
%
figure(4)
pcolor(xnew,ynew,rho)
shading interp
colormap('jet(4096)')
colorbar
% set(gca,'clim',[1 1.7])
%
% figure(3)
% pcolor(x(2:width-1,2:height-1),y(2:width-1,2:height-1),rho)
% shading interp
% colormap('jet')
%
% hold on;
% quiver(x(2:width-1,2:height-1),y(2:width-1,2:height-1),detax./kgd,detay./kgd,'autoscale','on','autoscalefactor',5,'color','k')
% xlim([-45 45])
% ylim([-32 30])