Geodesic
Numerical simulation of convective motion in an anisotropic porous medium and cosymmetry conservation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 10, pp. 1734-1747 
M. A. Abdelhafez; V. G. Tsybulin. Numerical simulation of convective motion in an anisotropic porous medium and cosymmetry conservation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 10, pp. 1734-1747. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_10_a10/
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     author = {M. A. Abdelhafez and V. G. Tsybulin},
     title = {Numerical simulation of convective motion in an anisotropic porous medium and cosymmetry conservation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1734--1747},
     year = {2017},
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     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_10_a10/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The onset of convection in a porous anisotropic rectangle occupied by a heat-conducting fluid heated from below is analyzed on the basis of the Darcy–Boussinesq model. It is shown that there are combinations of control parameters for which the system has a nontrivial cosymmetry and a one-parameter family of stationary convective regimes branches off from the mechanical equilibrium. For the two-dimensional convection equations in a porous medium, finite-difference approximations preserving the cosymmetry of the original system are developed. Numerical results are presented that demonstrate the formation of a family of convective regimes and its disappearance when the approximations do not inherit the cosymmetry property.

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