ON The Treatment Of Source Terms in Cell-Vertex Finite Volume uctuation-Distribution Schemes For Viscoelastic Flow

The accuracy, stability and consistency of a new cell-vertex hybrid nite element/volume scheme is investigated in the numerical solution of a model viscoelastic sink ow. Here, the interest is to explore the consequences of utilising conventional cell-vertex methodology for an OldroydB model and to demonstrate resulting drawbacks in the presence of complex source terms. Alternative strategies worthy of consideration are presented. It is demonstrated how high order accuracy may be achieved in the steady-state by respecting consistency in the formulation.