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KSME international journal v.16 no.11, 2002년, pp.1522 - 1539  

On Constructing an Explicit Algebraic Stress Model Without Wall-Damping Function

Park, Noma   (School of Mechanical and Aerospace Engineering, Seoul National UniversityUU0000691  ); Yoo, Jung-Yul   (School of Mechanical and Aerospace Engineering, Seoul National UniversityUU0000691  );
  • 초록

    In the present study, an explicit algebraic stress model is shown to be the exact tensor representation of algebraic stress model by directly solving a set of algebraic equations without resort to tensor representation theory. This repeals the constraints on the Reynolds stress, which are based on the principle of material frame indifference and positive semi-definiteness. An a priori test of the explicit algebraic stress model is carried out by using the DNS database for a fully developed channel flow at Rer = 135. It is confirmed that two-point correlation function between the velocity fluctuation and the Laplacians of the pressure-gradient i s anisotropic and asymmetric in the wall-normal direction. Thus, a novel composite algebraic Reynolds stress model is proposed and applied to the channel flow calculation, which incorporates non-local effect in the algebraic framework to predict near-wall behavior correctly.


  • 주제어

    Explicit Algebraic Reynolds Stress Model .   Tensor Representation Theory .   Elliptic Relaxation Model .   Near-Wall Limiting Behaviour .   Channel Flow.  

  • 참고문헌 (36)

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