Geodesic
Orographically induced evolution of stratiform clouds
Matematičeskoe modelirovanie, Tome 11 (1999) no. 9, pp. 23-37.

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A two-dimensional, nonlinear, nonhyarostatic numerical model of orographically induced evolution of stratiform clouds is described. The model is incompressible, contains motion and continuity equations, equations for equivalent potential temperature, humidity, liquid water and uses fiction domain method. Navier–Stokes equations are solved with “vorticity, stream function” variables and numerical integration go by finite-difference scheme with central differences. The monotonic finite-difference scheme is used for convection – diffusion equations. The utility of the model was demonstrated in example which lllustrats the flow ot moist saturated air over isolated obstacle. 
@article{MM_1999_11_9_a1,
     author = {P. N. Vabishchevich and T. G. Kazakova},
     title = {Orographically induced evolution of stratiform clouds},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {23--37},
     publisher = {mathdoc},
     volume = {11},
     number = {9},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1999_11_9_a1/}
}
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P. N. Vabishchevich; T. G. Kazakova. Orographically induced evolution of stratiform clouds. Matematičeskoe modelirovanie, Tome 11 (1999) no. 9, pp. 23-37. http://geodesic.mathdoc.fr/item/MM_1999_11_9_a1/