Numerical Investigation of Turbulent Flow of a Polymer Solution at Low Reynolds Numbers

The elastic turbulence effect that occurs in the flow of a polymer solution at low Reynolds numbers and high Weissenberg numbers is studied numerically. A physical model of weakly compressible flow of a polymer solution is constructed, and a hybrid numerical technique for approximating this model is developed. Based on this technique, we present a numerical analysis of the polymer flow in a square computational domain with solid boundaries under the action of a periodic external force (Kolmogorov flow). The spectra of velocity, vorticity, and polymer elongation are constructed.