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Pseudospectral simulation of turbulent viscoelastic channel flow. (English) Zbl 0966.76064
From the summary: We present methodology and validation of direct numerical simulations of viscoelastic turbulent channel flows. Using differential constitutive models derived from kinetic and network theories, numerical simulations demonstrate drag reduction for various values of the parameters, under conditions where there is a substantial increase in the extensional viscosity compared to the shear viscosity. In this work, new pertaining to the Reynolds stress and the pressure are presented, and the convergence of the pseudospectral algorithm utilized in the simulation, as well as its parallel implementation, are discussed in detail. It is shown that the lack of mesh refinement, or the use of a larger value for the artificial stress diffusivity used to stabilize the conformation tensor evolution equations, introduce small quantitative errors which qualitatively have the effect of lowering the drag reduction capability of the simulated fluid. However, an insufficient size of the periodic computational domain can also introduce errors in certain cases, which albeit usually small, can qualitatively alter various features of the solution.

MSC:
76M22 Spectral methods applied to problems in fluid mechanics
76A10 Viscoelastic fluids
76F65 Direct numerical and large eddy simulation of turbulence
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