Premium
Parallelization in time for thermo‐viscoplastic problems in extrusion of aluminium
Author(s) -
Celledoni Elena,
Kvamsdal Trond
Publication year - 2009
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2585
Subject(s) - integrator , convergence (economics) , viscoplasticity , code (set theory) , dissipative system , extrusion , parallelism (grammar) , computer science , parallel computing , numerical analysis , mathematics , ordinary differential equation , algorithm , computational science , differential equation , mathematical analysis , finite element method , structural engineering , materials science , physics , engineering , composite material , thermodynamics , constitutive equation , economic growth , computer network , bandwidth (computing) , programming language , set (abstract data type) , economics
Abstract The ParaReal algorithm ( C.R. 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 © 2009 John Wiley & Sons, Ltd.