Geodesic
Precise two-dimensional models for shallow water basins
Matematičeskoe modelirovanie, Tome 15 (2003) no. 10, pp. 17-34

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2D hydrodynamic model for the shallow water sea was built. In provides solution obtaining which satisfy physics conservation laws, under the conditions ratio length to depth $10^4\dots10^5$, depth overfall to $10^2$, level variation from $-100\%$ till some hundred percents of depth. Under model equations building (including grid equations), we kept meeting demands to save conditions of initial equation system. The optimization algorithm for typical guality grid functionals of grid building for real water basins under conditions of complicated boundary was worked out. The water flows modeling results for the Azov Sea are presented. 
@article{MM_2003_15_10_a1,
     author = {V. S. Vasil'ev and A. I. Sukhinov},
     title = {Precise two-dimensional models for shallow water basins},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {17--34},
     publisher = {mathdoc},
     volume = {15},
     number = {10},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_10_a1/}
}
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V. S. Vasil'ev; A. I. Sukhinov. Precise two-dimensional models for shallow water basins. Matematičeskoe modelirovanie, Tome 15 (2003) no. 10, pp. 17-34. http://geodesic.mathdoc.fr/item/MM_2003_15_10_a1/