How to plot streamlines on a sphere?

2013 1 9
2 个回答
更新时间：2018 8 31
9 次查看（30 天）

0 个投票

I would like to plot streamlines wrapped around the surface of a sphere. Here is what I mean:
A few thoughts:
--Matlab makes it easy to plot scalar functions on spheres using surf (as shown here: http://www.mathworks.com/help/matlab/ref/surf.html), but I do not see how to extend this example to vector fields.
--I know how to plot streamlines on a surface provided the domain of the surface is rectangular (following this example: http://www.mathworks.com/help/matlab/ref/streamslice.html). Unfortunately, I don't see how to extend this to a spherical surface.
Thanks!

请先登录，再回答此问题。

回答（2 个）

Bob P
Bob P 2013-1-9

0 个投票

Nevermind, I've figured out what I need. Something like this seems to work:
npts=100;
x = linspace(-1,1,npts);
y = linspace(-1,1,npts);
[X,Y]=meshgrid(x,y);
Z=X;
for r = 1:npts
for c = 1:npts
if (X(r,c)^2+Y(r,c)^2)>1
Z(r,c) = NaN;
else
Z(r,c)=sqrt(1-X(r,c)^2-Y(r,c)^2);
end
end
end
surf(X,Y,Z);shading interp
alpha(1)
[u v] = gradient(Z);
h = streamslice(X,Y,-u,-v);
set(h,'color','k')
for i=1:length(h);
zi = interp2(X,Y,Z,get(h(i),'xdata'),get(h(i),'ydata'));
set(h(i),'zdata',zi);
end
axis tight
%hold on;
%surf(X,Y,-Z);shading interp
%hold off;
daspect([1,1,1])
axis tight;

类别

在 帮助中心 和 File Exchange 中查找有关 Surface and Mesh Plots 的更多信息

标签

提问:

Bob P
Bob P
2013-1-9

回答：

David Taylor
David Taylor
2018-8-31

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by