Efficient computation of turbulent flow in ribbed passages using a non-overlapping near-wall domain decomposition method

Abstract Turbulent flow in a ribbed channel is studied using an efficient near-wall domain decomposition (NDD) method. The NDD approach is formulated by splitting the computational domain into an inner and outer region, with an interface boundary between the two. The computational mesh covers the outer region, and the flow in this region is solved using the open-source CFD code Code_Saturne with special boundary conditions on the interface boundary, called interface boundary conditions (IBCs). The IBCs are of Robin type and incorporate the effect of the inner region on the flow in the outer region. IBCs are formulated in terms of the distance from the interface boundary to the wall in the inner region. It is demonstrated that up to 90% of the region between the ribs in the ribbed passage can be removed from the computational mesh with an error on the friction factor within 2.5%. In addition, computations with NDD are faster than computations based on low Reynolds number (LRN) models by a factor of five. Different rib heights can be studied with the same mesh in the outer region without affecting the accuracy of the friction factor. This is tested with six different rib heights in an example of a design optimisation study. It is found that the friction factors computed with NDD are almost identical to the fully-resolved results. When used for inverse problems, NDD is considerably more efficient than LRN computations because only one computation needs to be performed and only one mesh needs to be generated.

[1]  Tim Craft,et al.  Progress in the generalization of wall-function treatments , 2002 .

[2]  Amir Keshmiri,et al.  Three-dimensional simulation of a simplified advanced gas-cooled reactor fuel element , 2011 .

[3]  Sergei Utyuzhnikov,et al.  Implementation of near-wall boundary conditions for modeling boundary layers with free-stream turbulence , 2014 .

[4]  Amir Keshmiri,et al.  Assessment of advanced RANS models against large eddy simulation and experimental data in the investigation of ribbed passages with passive heat transfer , 2016 .

[5]  Ghenadie Bulat,et al.  Large eddy simulations of isothermal confined swirling flow in an industrial gas-turbine , 2015 .

[6]  Sergey V. Utyuzhnikov,et al.  Towards development of unsteady near-wall interface boundary conditions for turbulence modeling , 2014, Comput. Phys. Commun..

[7]  Tony Arts,et al.  The Effect of Periodic Ribs on the Local Aerodynamic and Heat Transfer Performance of a Straight Cooling Channel , 1996 .

[8]  S. Utyuzhnikov.  Generalized wall functions and their application for simulation of turbulent flows , 2005 .

[9]  Tobias Knopp,et al.  A grid and flow adaptive wall-function method for RANS turbulence modelling , 2006, J. Comput. Phys..

[10]  Amir Keshmiri,et al.  Numerical sensitivity analysis of 3- and 2- dimensional rib-roughened channels , 2012 .

[11]  Sergei Utyuzhnikov.  Interface boundary conditions in near-wall turbulence modeling , 2012 .

[12]  K. M. Thomas,et al.  Metal carbonyl decomposition and carbon deposition in the advanced gas-cooled nuclear reactor , 1993 .

[13]  M. Raisee,et al.  Recent progress in the computation of flow and heat transfer in internal cooling passages of turbine blades , 1999 .

[14]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[15]  Zeyuan Xu,et al.  Experimental assessment of the effects of Prandtl number and of a guide vane on the thermal development in a ribbed square-ended U-bend , 2007 .

[16]  Vagesh D. Narasimhamurthy,et al.  Turbulence statistics in a rotating ribbed channel , 2015 .

[17]  G. Iaccarino,et al.  Near-wall behavior of RANS turbulence models and implications for wall functions , 2005 .

[18]  Sergei Utyuzhnikov,et al.  A near-wall domain decomposition approach in application to turbulent flow in a diffuser , 2016 .

[19]  Sergey Utyuzhnikov,et al.  Application of a near-wall domain decomposition method to turbulent flows with heat transfer , 2015 .

[20]  Sergei Utyuzhnikov.  The method of boundary condition transfer in application to modeling near-wall turbulent flows , 2006 .

[21]  Amir Keshmiri,et al.  Thermalhydraulic Analysis of Four Geometrical Design Parameters in Rib-Roughened Channels , 2011 .

[22]  Sergei Utyuzhnikov,et al.  Robin-type wall functions and their numerical implementation , 2008 .

[23]  Shiki Okamoto,et al.  Turbulent Shear Flow and Heat Transfer Over the Repeated Two-Dimensional Square Ribs on Ground Plane , 1993 .