In the preceding section the problem of finding facial values once the element
center values are known, was solved in a generic way, independent of the flow
direction. Using these values in the convective terms of the conservation
laws, however, may lead to overshoots and ocillatory behavior. Therefore,
alternative schemes have been developed specifically for these convective
terms. For details the reader is referred to [61] (compressible
flow) and [36] (incompressible flow). Here, the schemes used for that
purpose in CalculiX are briefly discussed. In what follows the facial values
used in convective schemes are denoted by
for face
f (so the arrow does NOT denote a vector!). Notice that convective facial values are only relevant for internal faces.