Geodesic
Nondifference approximation of boundary conditions on numerical solving Navier–Stokes equations by difference potential method
Matematičeskoe modelirovanie, Tome 10 (1998) no. 9, pp. 99-110 
V. A. Torgashov. Nondifference approximation of boundary conditions on numerical solving Navier–Stokes equations by difference potential method. Matematičeskoe modelirovanie, Tome 10 (1998) no. 9, pp. 99-110. http://geodesic.mathdoc.fr/item/MM_1998_10_9_a7/
@article{MM_1998_10_9_a7,
     author = {V. A. Torgashov},
     title = {Nondifference approximation of boundary conditions on numerical solving {Navier{\textendash}Stokes} equations by difference potential method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {99--110},
     year = {1998},
     volume = {10},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1998_10_9_a7/}
}
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This work is a continuation of the paper [1], in which a technique for computing $2D$ plane viscous incompressible fluid flow in primitive terms was presented. This technique is based on the difference potential method (DPM) [2], [3] and uses difference approximation of boundary conditions. In this paper so called nondifference approximation of boundary conditions is presented. It is based on DPM features. Such approximation of boundary conditions allows an algorithm to take into account automatically the smoothness of incoming data and the solution for reduction of calculations.