Three-Dimensional Flow Computation with Reynolds Stress and Algebraic Stress Models

A quadratic explicit algebraic stress model (EASM) that takes into account the variation of production-to-dissipation rate ratio is compared with an implicit algebraic stress model (ASM) and with their parent Reynolds stress model (RSM) in this paper. A new implementation of ASM model where the turbulent eddy viscosity provided by the explicit solution is employed is found to be robust. Computations for ship flows at model and full scale are performed to assess the accuracy of different models. Explicit and implicit algebraic stress models give similar prediction for the flow investigated. The RSM model provides better prediction in the region dominated by convex curvature. However, no much improvement is observed near the concave surface.

[1]  T. B. Gatski,et al.  General explicit algebraic stress relations and best approximation for three-dimensional flows , 1998 .

[2]  Sharath S. Girimaji,et al.  A Galilean invariant explicit algebraic Reynolds stress model for turbulent curved flows , 1997 .

[3]  T. Gatski,et al.  On explicit algebraic stress models for complex turbulent flows , 1992, Journal of Fluid Mechanics.

[4]  S. Pope A more general effective-viscosity hypothesis , 1975, Journal of Fluid Mechanics.

[5]  Arne V. Johansson,et al.  An explicit algebraic Reynolds stress model for incompressible and compressible turbulent flows , 2000, Journal of Fluid Mechanics.

[6]  Volker Bertram,et al.  Benchmarking of computational fluid dynamics for ship flows: the Gothenburg 2000 workshop , 2003 .

[7]  T. Gatski,et al.  Modelling the pressure–strain correlation of turbulence: an invariant dynamical systems approach , 1991, Journal of Fluid Mechanics.

[8]  T. Gatski,et al.  A unified analysis of planar homogeneous turbulence using single-point closure equations , 1999, Journal of Fluid Mechanics.

[9]  T. B. Gatski,et al.  Nonlinear eddy viscosity and algebraic stress models for solving complex turbulent flows , 2000 .

[10]  L Rumsey Christopher,et al.  Recent Turbulence Model Advances Applied to Multi-Element Airfoil Computations , 2000 .

[11]  Charles G. Speziale,et al.  Towards the development of second-order closure models for nonequilibrium turbulent flows , 1996 .

[12]  W. Rodi A new algebraic relation for calculating the Reynolds stresses , 1976 .

[13]  S. Girimaji Fully explicit and self-consistent algebraic Reynolds stress model , 1995 .

[14]  Arne V. Johansson,et al.  Modelling streamline curvature effects in explicit algebraic Reynolds stress turbulence models , 2002 .

[15]  Suak-Ho Van,et al.  Wind tunnel tests on flow characteristics of the KRISO 3,600 TEU containership and 300K VLCC double-deck ship models , 2003 .