Geodesic
Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 4, pp. 682-701 
P. A. Bakhvalov; T. K. Kozubskaya. Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 4, pp. 682-701. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a8/
@article{ZVMMF_2017_57_4_a8,
     author = {P. A. Bakhvalov and T. K. Kozubskaya},
     title = {Construction of edge-based 1-exact schemes for solving the {Euler} equations on hybrid unstructured meshes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {682--701},
     year = {2017},
     volume = {57},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, 1-exact vertex-centered finite-volume schemes with an edge-based approximation of fluxes are constructed for numerically solving hyperbolic problems on hybrid unstructured meshes. The 1-exactness property is ensured by introducing a new type of control volumes, which are called semitransparent cells. The features of a parallel algorithm implementing the computations using semitransparent cells on modern supercomputers are described. The results of solving linear and nonlinear test problems are given.

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