How to plot a 3D vortex flow

I have been given a set of large data for an airfoil. Where i have a mesh file of X,Y,Z Coordinates and data file of its velocity map as Xi,Yi,Zi,Ui,Vi,Wi at a given timestep. I want to be able to plot a 3D Vortex structure on the suction side of the airfoil ( something similar to the images below) but i am unsure how to do this. I have tried using the curl function but i think my code is wrong and gives me an error saying 'contour not rendered for non-finite Zdata). Please could someone guide me in the right direction to how to approach this.

[KSSV]

How about streamlines ?

[Prashan Beddagana]

@KSSV Since i have the given velocity field, is it possible to plot streamlines of the vortex flow?

[KSSV]

https://in.mathworks.com/help/matlab/ref/stream3.html

[Prashan Beddagana]

@KSSV i have tried using it, but when i try run the code it gives me an error of u,v,w must all be a 3d arrays

[KSSV]

https://in.mathworks.com/help/matlab/ref/streamline.html

Answer 1

[Wan Ji]

If you donot have a mesh, then you need to reconstruct your mesh!

X = X(:); Y = Y(:); Z = Z(:); U = U(:); V= V(:); W=W(:);
minX = min(X);
maxX = max(X);
minY = min(Y);
maxY = max(Y);
minZ = min(Z);
maxZ = max(Z);
n = ceil(numel(X)^(1/3))+1;
x = linspace(minX,maxX,n);
y = linspace(minY,maxY,n);
z = linspace(minZ,maxZ,n);
[Xr,Yr,Zr] = meshgrid(x,y,z);
Ur = zeros(size(Xr));
Vr = Ur;
Wr = Ur;
Fu = scatteredInterpolant(X,Y,Z,U,'linear');
Fv = scatteredInterpolant(X,Y,Z,V,'linear');
Fw = scatteredInterpolant(X,Y,Z,W,'linear');
Ur(:) = Fu(Xr(:),Yr(:),Zr(:));
Vr(:) = Fv(Xr(:),Yr(:),Zr(:));
Wr(:) = Fw(Xr(:),Yr(:),Zr(:));
[sx,sy,sz] = meshgrid(linspace(minX,maxX,11),linspace(minY,maxY,11),linspace(minZ,maxZ,11));
streamline(stream3(Xr,Yr,Zr,Ur,Vr,Wr,sx,sy,sz))

[Prashan Beddagana]

Hi @Wan Ji Thank you for your resposne,

Ive tried running the code youve given but i get an error of 'Error using scatteredInterpolant

Invalid interpolation type specified.'

[Wan Ji]

If your X,Y,Z,U,V,W have the same length and are all of the same data type of double.

I dont think there will be any problem in my code

[Wan Ji]

Hi, I have recieved your email but I dont know how to reply@Prashan Beddagana

[Prashan Beddagana]

@Wan Ji I sent you another message