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Simulation of viscous flows by highly accurate aeroacoustic schemes on regular grids

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Abstract

Highly accurate finite-difference schemes that are widely used in computational aeroacoustics and referred to as dispersion-relation-preserving (DRP) schemes are adapted for the simulation of viscous flows. The main result consists in the construction and verification of numerical boundary conditions on a solid body, artificial boundaries, and on their interface. Calculations are performed for several test problems, including dissipation of the Lamb–Oseen vortex and decay of the Taylor–Green vortex in two-and three-dimensional cases and in infinite and semi-infinite (open-outlet) plane channels.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    A. V. Alexandrov

  2. National Research Nuclear University MEPhI, Moscow, Russia

    A. V. Alexandrov

  3. Moscow State University, Moscow, Russia

    L. W. Dorodnicyn

Authors
  1. A. V. Alexandrov
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  2. L. W. Dorodnicyn
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Corresponding authors

Correspondence to A. V. Alexandrov or L. W. Dorodnicyn.

Additional information

Original Russian Text © A.V. Alexandrov, L.W. Dorodnicyn, 2017, published in Matematicheskoe Modelirovanie, 2017, Vol. 29, No. 1, pp. 63–83.

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Alexandrov, A.V., Dorodnicyn, L.W. Simulation of viscous flows by highly accurate aeroacoustic schemes on regular grids. Math Models Comput Simul 9, 457–473 (2017). https://doi.org/10.1134/S2070048217040020

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  • DOI: https://doi.org/10.1134/S2070048217040020

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