Difference schemes on triangular and tetrahedral grids of Navier–Stokes equations for an incompressible fluid

The new approximations of Navier–Stokes equations for incompressible fluid on triangular and tetrahedral grids are proposed using predictor-corrector method. An estimations of unconditional stability of constructed schemes were fulfilled. The numerical solution of 2-D problem of flow field in a cavity with a mobile top cover was done (performed). The comparison with the other results was carried out. The questions of monotonisity of grid equations are discussed.