We consider an approach to efficient parallel implementa- tion of the high order Control Volume Padé-type Differences (CVPD)
applied to spatial time-dependent flow in the mixing tanks. This nu- merical technology allows to obtain very high quality
solutions on the block-structured curvilinear grids with sliding grid capability. In some sense it combines the flexibility
of the finite volume methods with the accuracy of the spectral methods. However, the payoff for the high accu- racy is that
the parallel implementation issues become more complicated as compared to conventional low order approximation methods.
Our objective is to demonstrate that reasonable parallel efficiency can be attainedo n the parallel computer platforms without
compromising the high accuracy, when the highly accurate non-local discrete operators and implicit time-steppings are usedas
the building blocks of the numerical methods. We present numerical results obtained on CRAY C90, CRAY T3D and IBM SP2.