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Application of numerical schemes with singling out the boundary layer for the computation of turbulent flows using eddy-resolving approaches on unstructured grids

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Abstract

The use of eddy-resolving approaches to solving problems on arbitrary unstructured grids is investigated. The applications of such approaches requires the use of low dissipation numerical schemes, which can lead to numerical oscillations of the solution on unstructured grids. Numerical oscillations typically occur in domains with large gradients of velocities, in particular, in the near-wall layer. It is proposed to single out the boundary layer and use a numerical scheme with increased numerical dissipation in it. The algorithm for singling out the boundary layer uses a switching function to change the parameters of the numerical scheme. This algorithm is formulated based on the BCD scheme from the family NVD. Its validity and advantages are investigated using the zonal RANS–LES approach for solving some problems of turbulent flow of incompressible fluids.

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Authors and Affiliations

  1. Russian Federal Nuclear Center—All-Russia Institute of Experimental Physics, Sarov, Nizhegorodskaya oblast, 607188, Russia

    A. S. Kozelkov, O. L. Krutyakova, V. V. Kurulin, S. V. Lashkin & E. S. Tyatyushkina

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  1. A. S. Kozelkov
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  2. O. L. Krutyakova
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  3. V. V. Kurulin
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  4. S. V. Lashkin
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  5. E. S. Tyatyushkina
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Correspondence to A. S. Kozelkov.

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Original Russian Text © A.S. Kozelkov, O.L. Krutyakova, V.V. Kurulin, S.V. Lashkin, E.S. Tyatyushkina, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 6, pp. 1048–1060.

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Kozelkov, A.S., Krutyakova, O.L., Kurulin, V.V. et al. Application of numerical schemes with singling out the boundary layer for the computation of turbulent flows using eddy-resolving approaches on unstructured grids. Comput. Math. and Math. Phys. 57, 1036–1047 (2017). https://doi.org/10.1134/S0965542517060070

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  • DOI: https://doi.org/10.1134/S0965542517060070

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