Geodesic
Eddy-resolving numerical scheme for simulation of turbulent incompressible flows
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 7, pp. 1255-1265

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The properties of existing numerical schemes for discretizing convective fluxes are examined. An alternative scheme is proposed that is formulated on the basis of normalized variable diagrams. The dissipation properties of this scheme are analyzed by simulating turbulent incompressible flows with the use of eddy-resolving models. It is shown that the scheme does not lead to spurious oscillations and it is superior in dissipation properties to similar central-difference schemes. For the scheme proposed, an LES model is calibrated for both free and near-wall flows and the numerical solution of a plane channel flow problem is shown to converge by applying direct numerical simulation of turbulence. 
@article{ZVMMF_2015_55_7_a12,
     author = {A. S. Kozelkov and V. V. Kurulin},
     title = {Eddy-resolving numerical scheme for simulation of turbulent incompressible flows},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1255--1265},
     publisher = {mathdoc},
     volume = {55},
     number = {7},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_7_a12/}
}
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A. S. Kozelkov; V. V. Kurulin. Eddy-resolving numerical scheme for simulation of turbulent incompressible flows. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 7, pp. 1255-1265. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_7_a12/