Geodesic
Numerical simulation flows of incompressible viscous fluid with free surface based on SIMPLE method
Matematičeskoe modelirovanie, Tome 19 (2007) no. 3, pp. 52-58

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In present article method for solution of incompressible viscous flow problems with free surface is presented. Conjoint using of SIMPLE method and method of invariants for computing velocity on free surface underlies method. At solution problem of filling vertical channel it is displayed that continuity holds with a high accuracy. Evolution of free surface during process filling for different numbers Reynolds and Froude is investigated. 
@article{MM_2007_19_3_a3,
     author = {V. A. Yakutenok and E. I. Borzenko},
     title = {Numerical simulation flows of incompressible viscous fluid with free surface based on {SIMPLE} method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {52--58},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2007_19_3_a3/}
}
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V. A. Yakutenok; E. I. Borzenko. Numerical simulation flows of incompressible viscous fluid with free surface based on SIMPLE method. Matematičeskoe modelirovanie, Tome 19 (2007) no. 3, pp. 52-58. http://geodesic.mathdoc.fr/item/MM_2007_19_3_a3/