Geodesic
Difference schemes on triangular and tetrahedral grids of Navier–Stokes equations for an incompressible fluid
Matematičeskoe modelirovanie, Tome 21 (2009) no. 10, pp. 94-106 
I. V. Popov; I. V. Fryazinov; M. Yu. Stanichenko; A. V. Taymanov. Difference schemes on triangular and tetrahedral grids of Navier–Stokes equations for an incompressible fluid. Matematičeskoe modelirovanie, Tome 21 (2009) no. 10, pp. 94-106. http://geodesic.mathdoc.fr/item/MM_2009_21_10_a9/
@article{MM_2009_21_10_a9,
     author = {I. V. Popov and I. V. Fryazinov and M. Yu. Stanichenko and A. V. Taymanov},
     title = {Difference schemes on triangular and tetrahedral grids of {Navier{\textendash}Stokes} equations for an incompressible fluid},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {94--106},
     year = {2009},
     volume = {21},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_10_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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