A viscoelastic flow solver for Rolie-Poly model based on OpenFOAM

The understanding of flow instability of viscoelastic fluid is very important but far from sufficient. By combining the constitutive equation with Navier-Stoke governing equation, we implement a viscoelastic solver based on OpenFOAM for Rolie-Poly model, which is a single-mode constitutive model derived from the tube-based molecular theory. We numerically investigate two-dimensional viscoelastic flow around a circular cylinder with this solver. A second order parallelized finite volume method (FVM) is employed in the simulation in both spatial and the temporal domain. The numerical results illustrate the significant effects of the polymer elasticity on the flow structure. The vortex shedding and recirculation region exist behind the cylinder under low Reynolds numbers due to the elastic effect. Both drag reduction and enhancement have been observed in the simulation. Results are consistent with other literature. And the solver shows good parallel efficiency and scalability.