Geodesic
The noniteration technique for solving implicit difference scheme of Navier--Stokes equations in terms of vorticity and stream function
Matematičeskoe modelirovanie, Tome 8 (1996) no. 10, pp. 100-112.

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In the paper the original algorithm for numerical solving difference analog of incompressible Navier–Stokes equations in terms of vorticity and stream function on the top time level is presented. Its foundation is the difference potential method (DPM), which allows to resolve typical difficulties for this kind of problems associated with boundary conditions without iteration process. 
@article{MM_1996_8_10_a9,
     author = {V. S. Ryaben'kii and V. A. Torgashov},
     title = {The noniteration technique for solving implicit difference scheme of {Navier--Stokes} equations in terms of vorticity and stream function},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {100--112},
     publisher = {mathdoc},
     volume = {8},
     number = {10},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1996_8_10_a9/}
}
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V. S. Ryaben'kii; V. A. Torgashov. The noniteration technique for solving implicit difference scheme of Navier--Stokes equations in terms of vorticity and stream function. Matematičeskoe modelirovanie, Tome 8 (1996) no. 10, pp. 100-112. http://geodesic.mathdoc.fr/item/MM_1996_8_10_a9/