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Validation of a RANS transition model using a high-order weighted compact nonlinear scheme

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Abstract

A modified transition model is given based on the shear stress transport (SST) turbulence model and an intermittency transport equation. The energy gradient term in the original model is replaced by flow strain rate to saving computational costs. The model employs local variables only, and then it can be conveniently implemented in modern computational fluid dynamics codes. The fifth-order weighted compact nonlinear scheme and the fourth-order staggered scheme are applied to discrete the governing equations for the purpose of minimizing discretization errors, so as to mitigate the confusion between numerical errors and transition model errors. The high-order package is compared with a second-order TVD method on simulating the transitional flow of a flat plate. Numerical results indicate that the high-order package give better grid convergence property than that of the second-order method. Validation of the transition model is performed for transitional flows ranging from low speed to hypersonic speed.

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Authors and Affiliations

  1. State Key Laboratory of Aerodynamics, China Aerodynamics Research & Development Center, Mianyang, 621000, China

    GuoHua Tu, XiaoGang Deng & MeiLiang Mao

  2. Science and Technology on Scramjet Laboratory, Hypervelocity Aerodynamics Institute of CARDC, Mianyang, 621000, China

    GuoHua Tu

  3. National University of Defense Technology, Changsha, 410073, China

    XiaoGang Deng

  4. Computational Aerodynamics Institute, China Aerodynamics Research & Development Center, Mianyang, 621000, China

    MeiLiang Mao

Authors
  1. GuoHua Tu
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  2. XiaoGang Deng
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  3. MeiLiang Mao
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Correspondence to GuoHua Tu.

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Tu, G., Deng, X. & Mao, M. Validation of a RANS transition model using a high-order weighted compact nonlinear scheme. Sci. China Phys. Mech. Astron. 56, 805–811 (2013). https://doi.org/10.1007/s11433-013-5037-1

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  • DOI: https://doi.org/10.1007/s11433-013-5037-1

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