- #1
PSantiago
- 3
- 0
Hi,
I'm facing a real-life problem and I don't what specific mathematics topic it's related to.
I know the value of the components of a vector field in three points of space and I have to find the flux of this vector field through the surface defined by those points.
Lets say that the vector field is the following
Q = u(x,y,z)i + v(x,y,z)j
The vertical component of the vector field is omitted because I know that the surface is vertical.
I know the value of the vector's components (u1,v1), (u2,v2) and (u3,v3) in the coordinates (x1,y1,z1), (x2,y2,z2) and (x3,y3,z3), which may be seen as the vertices of a triangular surface.
Linear variations may be assumed for the vector component functions.
That's what I'm looking for.
I've searched a lot for finite element representation of surface fluxes, but I've found nothing what clearly looked similar to my problem.
I'm facing a real-life problem and I don't what specific mathematics topic it's related to.
Homework Statement
I know the value of the components of a vector field in three points of space and I have to find the flux of this vector field through the surface defined by those points.
Lets say that the vector field is the following
Q = u(x,y,z)i + v(x,y,z)j
The vertical component of the vector field is omitted because I know that the surface is vertical.
I know the value of the vector's components (u1,v1), (u2,v2) and (u3,v3) in the coordinates (x1,y1,z1), (x2,y2,z2) and (x3,y3,z3), which may be seen as the vertices of a triangular surface.
Linear variations may be assumed for the vector component functions.
Homework Equations
That's what I'm looking for.
The Attempt at a Solution
I've searched a lot for finite element representation of surface fluxes, but I've found nothing what clearly looked similar to my problem.