Surface Integral
The surface integral of a scalar quantity is computed as:
where is the face value of the selected scalar and is the face area magnitude.
For axisymmetric cases, the mesh is assumed to be swept through an angle of 1 radian. For applications that use a mass flow inlet, the mass flow is therefore given in kg/rad s. Any volumetric or area quantities reported for the Axisymmetric model are assumed to be for a sector of 1 radian.
For two-dimensional models, the surface is assumed to have a unit depth (in SI units). Therefore any volumetric or area quantities that are reported for a two-dimensional model are assumed to be “per meter”.
The surface integral of a vector quantity is computed as:
where is a unit normal vector and is the vector field. Similarly to the scalar surface integral calculation, the quantity in the integrand is computed for each face and the result is the sum over all faces. This calculation is supported for surfaces in both 2D and 3D models. Vector surface integrals are not supported for surface intersections with shell regions (e.g., thin films). Vector surface integrals cannot be computed for degenerate geometries (geometries for which the surface normal is not well-defined), such as plane-boundary intersections or plane-plane intersections within a region.
See also the properties of this statistical report.