Unstructured-grid finite-volume discretization of the Navier–Stokes equations based on high-resolution difference schemes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1250-1273

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An unstructured-grid discretization of the Navier–Stokes equations based on the finite volume method and high-resolution difference schemes in time and space is described as applied to fluid dynamics problems in two and three dimensions. The control volume is defined as the cell-vertex median dual control volume. The fluxes through the faces of internal and boundary control volumes are written identically, which simplifies their software implementation. The gradient and the pseudo-Laplacian are calculated at the midpoint of a control volume face by using relations adapted to the computations on a strongly stretched grid in the boundary layer.
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     author = {K. N. Volkov},
     title = {Unstructured-grid finite-volume discretization of the {Navier{\textendash}Stokes} equations based on high-resolution difference schemes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1250--1273},
     publisher = {mathdoc},
     volume = {48},
     number = {7},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a9/}
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K. N. Volkov. Unstructured-grid finite-volume discretization of the Navier–Stokes equations based on high-resolution difference schemes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1250-1273. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a9/