Simulation of the Doi-Edwards model in complex flow

The Doi-Edwards model is simulated in startup of two-dimensional complex fl ow. The flow geometry is that of a cylinder confined between two parallel p lates. Two different, new simulation methods are used. The first is based o n the configuration field approach. The second method is a new method which is introduced in this paper. We refer to this approach as the deformation field method. Theoretically the methods are equivalent. It will be shown th at the deformation field approach is very efficient. Furthermore, the metho d opens up possibilities of studying extensions of the Doi-Edwards model wh ich include tube-stretch and convected constraint release. (C) 1999 The Soc iety of Rheology. [S0148-6055(99)00705-1].