Hello ParaView community,
I am having deep troubles figuring out how to calculate this very specific operation:
weighted, surface integrals of scalars, that is \int \vec{\omega} T \,d\vec{A}, for example for temperature.
I am having trouble believing that the very generic “IntegrateVariables“ in ParaView actually performs cell area considering integrals. Because when I use vectors instead of scalars for the weight factor (such as \vec{\omega} = \rho*\vec{v}) the result is also in 3D and for each direction I get an integrated value. This tells me that “IntegrateVariables” is not a true area/surface integral!
I am finding it hard to believe this because when I use scalar weights to compare my results from other tools (where I can control vector or scalar weighted area integrals), I get almost matching values. However as I said when I use vector weight factors, there is not even a comparable result, it literally just gives me a 3D result as if integration over the area is not calculating the integrand as \vec{\omega}*d\vec{A} , where \vec{\omega} = \rho*\vec{v} and d\vec{A} = [dx, dy, dz].
Could you please inform me if what I require is possible or not in ParaView? Why do I still get a 3D result after a supposedly weighted area integral operation on a vector?
Best regars,
Fizikci