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Interpolation of the velocity in 2D

  The interpolation of the velocity is performed in three steps.
In the first step the Cartesian velocity is computed in the cell centre. First the fluxes and are averaged according to

  

see Figure 11.3 for the notations. Next the fluxes

  
Figure 11.3: Cell with fluxes and centroid

are transformed to Cartesian velocity components using:

hence

 

In the second step each of the components is interpolated to the vertices by exactly the procedure described for scalars in 11.1.
Finally at the boundary essential boundary conditions, if present, are substituted in order to avoid unnecessary interpolation erors.


Tatiana Tijanova
Wed Mar 26 10:36:42 MET 1997