Geodesic
Using high-accuracy aeroacoustic schemes on regular grids for simulation of viscous flows
Matematičeskoe modelirovanie, Tome 29 (2017) no. 1, pp. 63-83.

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In the present study the high-accuracy finite-difference schemes which are widely used in computational aeroacoustics and referred to as dispersion-relation-preserving (DRP) schemes are implemented to simulation of viscous flows. The main result consists of the construction and verification of numerical boundary conditions. This includes conditions on a solid wall, on an artificial boundary, and an interface between them. A number of test problems have been calculated: a dissipation of the Lamb–Oseen vortex, the Taylor–Green vortex decay in both 2D and 3D, and plane channel flows in the infinite and semi-infinite (open outlet) cases.
Keywords: Navier–Stokes equations, nonreflecting boundary conditions, finite differences, dispersion-relation-preserving scheme, Taylor–Green vortex.
Mots-clés : Poiseuille flow 
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A. V. Alexandrov; L. W. Dorodnicyn. Using high-accuracy aeroacoustic schemes on regular grids for simulation of viscous flows. Matematičeskoe modelirovanie, Tome 29 (2017) no. 1, pp. 63-83. http://geodesic.mathdoc.fr/item/MM_2017_29_1_a4/

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