Parallelization in time for thermo-viscoplastic problems in extrusion of aluminium

The ParaReal algorithm (CR. Acad. Sci. Paris 2001; 332:1-6) is a parallel approach for solving numerically systems of ordinary differential equations by exploiting parallelism across the steps of the numerical integrator. The method performs well for dissipative problems and problems of fluid-structure interaction (Int. J. Numer. Methods Engng 2003; 58:1397-1434). We consider here a convergence analysis for the method and we report the performance achieved from the parallelization of a Stokes/Navier-Stokes code via the ParaReal algorithm. Copyright (C) 2009 John Wiley & Sons, Ltd.