To improve the convergence behavior of the decoupled finite element method for the steady-state simulation of viscoelastic flow problems, we introduced a modified unsteady term into the momentum and constitutive equations, respectively. To make sure an advantage of the new technique, the eccentric flow problem of viscoelastic fluid was chosen by comparing stability of the simulations in the lower and higher Weissenberg numbers.
It was shown that (1) the simulation results obtained with and without the new technique are the same, (2) the new technique is more effective for calculating the viscoelastic flows in the higher Weissenberg numbers. Furthermore, to investigate the flexibility of this technique, we applied it to the die-swell flow analysis of viscoelastic fluid. It was shown that the technique also improves convergence behavior in the die-swell flow simulation.
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