Study of the Low Reynolds Number SSG-ε Reynolds Stress Model
The improvement,development and construction of turbulence models has been a fundamental research in the field of computational fluid dynamics.In this paper,a seven-equation Reynolds stress model is constructed based on the ε scale equation.The pressure-strain correlation term in the Reynolds stress transport equation is modeled by SSG,the destruction term in the ε transport equation introduces a damping function for low Reynolds number correction,and a source term is added to the ε equation to correct the turbulence length scale in the reattachment zone.The newly constructed low Reynolds number SSG-ε Reynolds stress model is tested using three classical cases of zero pressure gradient flat plate,backward facing step,and NACA4412 airfoil,and is also compared with the low Reynolds number Abid k-ε model,the SST model,the SSG/LRR-ε Reynolds stress model,as well as with several Reynolds stress models in Fluent commercial software.Preliminary computational results show that the low Reynolds number correction introduced in the ε equation contributes to the accurate prediction of the logarithmic law distribution of velocities within the turbulent boundary layer,and the unphysical phenomenon of backbending of reattaching streamlines is eliminated after the correction of turbulence length scale.Detailed comparative results from a series of test cases indicate that the low Reynolds number SSG-ε Reynolds stress model constructed in this paper has good accuracy for simulation of turbulent separation and flow reattachment,and has some potential for complex turbulence simulation.
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