How can I get curvature of stream2?

Question

uchida yuki 2019-10-9

回答： Yoshio 2019-10-11

Hi,MATLAB experts.

I want to get curvature of line drawn by stream2.

u and v are the velocity vectors in the x and y directions at 12,500 coordinates

I want to know the curvature of the streamline drawn by U and V at each coordinate.

[startx,starty]= meshgrid(-0.5:0.25:0.5,-0.25:0.01:0.25);

[m, n]=size(startx);

startx = reshape(startx,[1,m*n]);

starty = reshape(starty,[1,m*n]);

option= [0.1 50000];

streamline(X,Y,U,V,startx,starty, option)

hold on

streamline(X,Y,-U,-V,startx,starty, option)

plot(startx,starty,'Linestyle','none','Marker','.')

t=pi/100*(0:200);

hold off

Answer 1

Yoshio 2019-10-11

Seems your question is how to curculate curvature with (x,y) and (xdot, ydot), isn't it?

If so, you can find the many Q&A about curvature, not only for stream 2. It might be helpful for your question.