Simulation of highly elastic fluid flows without additional numerical diffusitivity

Abstract

A transient decoupled method to treat viscoelastic flows is presented, using Lagrange-Galerkin techniques for velocities and the Lesaint-Raviart method for extra-stresses. An important point of our scheme is the linear interpolation employed for all fields: This allows for high Weissenberg numbers to be reached with no need for streamline upwinding (SU).