How to calculate flux through a plane parallel to the XZ plane? Given a 3d vector field.

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Omar Azami 2020-4-8

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链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/516495-how-to-calculate-flux-through-a-plane-parallel-to-the-xz-plane-given-a-3d-vector-field

Say we have a 3D vector field, let's say the field and grid are already defined

n = 100;
rmax = 10000;
x = linspace(-rmax,rmax,n)
y = linspace(-rmax,rmax,n)
z = linspace(-rmax,rmax,n)
% Say FX,FY, and FZ are the components of the vector field and we want to calculate the flux through the plane y = 9800
Fy9800 = (FY(Y==y(n-2)))'; %Picks out the Y- component of the vector field in the y = 9800 plane
Fy9800R = reshape(Fy9800,[n,n]); 
[X2,Z2] = meshgrid(x,z)
surf(X2,Z2,Fy9800R) %Graphs the flux through the y=9800 plane
xlabel('X-Axis')
ylabel('Z-Axis')
zlabel('Flux')