Abstract The paper is devoted to a numerical study of the elastic turbulence effect that occurs at low Reynolds numbers and high Weissenberg numbers in the presence of polymers in the flow. A physical model of the flow of a polymer solution in a weakly compressible flow is constructed, and a hybrid numerical technique for approximation this model is developed. Based on this technique, we present a numerical analysis of polymer flow in a square computational domain with solid boundaries under the action of an external periodic force (Kolmogorov flow). The spectra of velocity, vorticity, and stretching of polymers are constructed.
Guzev et al. (Wed,) studied this question.