Convective interpolation

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 \overrightarrow{\phi_f} for face f (so the arrow does NOT denote a vector!). Notice that convective facial values are only relevant for internal faces.