Geodesic
Generalization of the hybrid monotone second-order finite difference scheme for gas dynamics equations to the case of unstructured 3D grid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 923-936

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A generalization of the explicit hybrid monotone second-order finite difference scheme for the use on unstructured 3D grids is proposed. In this scheme, the components of the momentum density in the Cartesian coordinates are used as the working variables; the scheme is conservative. Numerical results obtained using an implementation of the proposed solution procedure on an unstructured 3D grid in a spherical layer in the model of the global circulation of the Titan’s (a Saturn’s moon) atmosphere are presented. 
@article{ZVMMF_2010_50_5_a10,
     author = {V. S. Mingalev and I. V. Mingalev and O. V. Mingalev and A. M. Oparin and K. G. Orlov},
     title = {Generalization of the hybrid monotone second-order finite difference scheme for gas dynamics equations to the case of unstructured {3D} grid},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {923--936},
     publisher = {mathdoc},
     volume = {50},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a10/}
}
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V. S. Mingalev; I. V. Mingalev; O. V. Mingalev; A. M. Oparin; K. G. Orlov. Generalization of the hybrid monotone second-order finite difference scheme for gas dynamics equations to the case of unstructured 3D grid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 923-936. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a10/