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Acceleration of partitioned coupling schemes for problems of thermoelasticity
Author(s) -
Erbts Patrick,
Düster Alexander
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210172
Subject(s) - coupling (piping) , convergence (economics) , acceleration , mathematics , thermal , elasticity (physics) , relaxation (psychology) , mathematical optimization , isothermal process , computer science , field (mathematics) , physics , classical mechanics , engineering , mechanical engineering , psychology , social psychology , meteorology , pure mathematics , economics , thermodynamics , economic growth
A partitioned coupling scheme for problems of thermo‐elasticity at finite strains is presented. The coupling between the mechanical and thermal field is one of the most important multi‐physics problem. Typically two different strategies are used to find an accurate solution for both fields: Partitioned or staggered coupling schemes, in which the mechanics and heat transfer is treated as a single field problem, or a monolithic solution of the full problem. Monolithic formulations have the drawback of a non‐symmetric system which may lead to extremely large computational costs. Because partitioned schemes avoid this problem and allow for numerical formulations which are more flexible, we consider a staggered coupling algorithm which decouples the mechanical and the thermal field into partitioned symmetric sub‐problems by means of an isothermal operator‐split. In order to stabilize and to accelerate the convergence of the partitioned scheme, two different methods are employed: dynamic relaxation and a reduced order model quasi‐Newton method. A numerical simulation of a quasi‐static problem is presented investigating the performance of accelerated coupling schemes. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)