Multiscale in time and stability analysis of operator split solution procedures applied to thermomechanical problems

Purpose - The purpose of this paper is to study the partitioned solution procedure for thermomechanical coupling, where each sub-problem is solved by a separate time integration scheme.Design methodology approach - In particular, the solution which guarantees that the coupling condition will preserv...

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Bibliographic Details
Published in:Engineering computations 2009-01, Vol.26 (1/2), p.205-223
Main Authors: Kassiotis, C., Colliat, J.-B., Ibrahimbegovic, A., Matthies, H.G.
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Computation
Computer simulation
Design engineering
Engineering Sciences
Equilibrium
Hypotheses
Joining
Mathematical models
Mechanics
Numerical analysis
Operators
Preserves
Software
Stability
Studies
Thermal stability
Time integration
Variables
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Summary:Purpose - The purpose of this paper is to study the partitioned solution procedure for thermomechanical coupling, where each sub-problem is solved by a separate time integration scheme.Design methodology approach - In particular, the solution which guarantees that the coupling condition will preserve the stability of computations for the coupled problem is studied. The consideration is further generalized for the case where each sub-problem will possess its particular time scale which requires different time step to be selected for each sub-problem.Findings - Several numerical simulations are presented to illustrate very satisfying performance of the proposed solution procedure and confirm the theoretical speed-up of computations which follow from the adequate choice of the time step for each sub-problem.Originality value - The paper confirms that one can make the most appropriate selection of the time step and carry out the separate computations for each sub-problem, and then enforce the coupling which will preserve the stability of computations with such an operator split procedure.
ISSN:0264-4401
1758-7077
DOI:10.1108/02644400910924870