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Comparison of Convective Terms’ Approximations in DES Family Methods

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Abstract

Central-difference and upwind schemes of approximating convective terms of the gas dynamics equations and their interaction carried out using various transition and weight functions are considered. Testing is carried out on a model problem of the decay of homogeneous isotropic turbulence. Methods of large eddies with closing turbulence models are considered. The question of the consistency of the initial field with respect to the parameters of the turbulence model is investigated. The optimal values of the constants of the closing turbulence model are determined, which allow, in the case of the central-difference approximation, maintaining a low level of dissipation of the kinetic energy of turbulence in the high-frequency region of its spectrum. The weighting factor of the upwind scheme is determined, starting from which the influence of the mentioned constants becomes insignificant.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, 141701, Dolgoprudny, Moscow oblast, Russia

    S. Bakhne

  2. Central Aerohydrodynamic Institute, 140181, Zhukovskiy, Moscow oblast, Russia

    S. Bakhne

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  1. S. Bakhne
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Bakhne, S. Comparison of Convective Terms’ Approximations in DES Family Methods. Math Models Comput Simul 14, 99–109 (2022). https://doi.org/10.1134/S2070048222010057

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  • DOI: https://doi.org/10.1134/S2070048222010057

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