Highly accurate numerical methods for incompressible 3D fluid flows on parallel architectures

We consider an approach to efficient parallel implementation of the high order Control Volume Pade-type Differences (CVPD) applied to spatial time-dependent flow in the mixing tanks. This numerical 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 accuracy 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 attained on the parallel computer platforms without compromising the high accuracy, when the highly accurate son-local discrete operators and implicit time-steppings are used as the building blocks of the numerical methods. We present numerical results obtained on GRAY C90, GRAY T3D and IBM SP2.