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Coupling the algebraic model of bypass transition with EARSM model of turbulence

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Abstract

The article deals with numerical solution of the laminar-turbulent transition. A mathematical model consists of the Reynolds-averaged Navier-Stokes equations, which are completed by the explicit algebraic Reynolds stress model (EARSM) of turbulence. The algebraic model of laminar-turbulent transition, which is integrated to the EARSM, is based on the work of Kubacki and Dick (Int. J. Heat Fluid Flow 58, 68–83, 2016) where the turbulent kinetic energy is split in to the small-scale and large-scale parts. The algebraic model is simple and does not require geometry data such as wall-normal distance and all formulas are calculated using local variables. A numerical solution is obtained by the finite volume method based on the HLLC scheme and explicit Runge-Kutta method.

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Funding

The authors acknowledge the financial support from the EU Operational Programme Research, Development and Education, and from the Center of Advanced Aerospace Technology (CZ.02.1.01/0.0/0.0/16_019/0000826), Faculty of Mechanical Engineering, Czech Technical University in Prague.

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Authors and Affiliations

  1. Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University in Prague, Karlovo náměstí 13, Prague 2, 121 35, Czech Republic

    Jiří Holman & Jiří Fürst

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  1. Jiří Holman
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  2. Jiří Fürst
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Correspondence to Jiří Holman.

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Communicated by: Pavel Solin

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Holman, J., Fürst, J. Coupling the algebraic model of bypass transition with EARSM model of turbulence. Adv Comput Math 45, 1977–1992 (2019). https://doi.org/10.1007/s10444-019-09680-2

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  • DOI: https://doi.org/10.1007/s10444-019-09680-2

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