Asynchronous space–time algorithm based on a domain decomposition method for structural dynamics problems on non-matching meshes

Large-scale practical engineering problems featuring localized phenomena often benefit from local control of mesh and time resolutions to efficiently capture the spatial and temporal scales of interest. To this end, we propose an asynchronous space–time algorithm based on a domain decomposition meth...

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Veröffentlicht in:Computational mechanics Jg. 57; H. 2; S. 211 - 235
Hauptverfasser: Subber, Waad, Matouš, Karel
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2016
Springer
Schlagworte:
Algorithms
Analysis
Classical and Continuum Physics
Computation
Computational Science and Engineering
Convergence
Discretization
Domain decomposition methods
Dynamics
Engineering
Lagrange multipliers
Methods
Optimization
Original Paper
Theoretical and Applied Mechanics
Domain decomposition methods
Multi-time-step methods
Asynchronous time integration
High-performance computing
Non-matching grids
Local Lagrange multipliers
ISSN:0178-7675, 1432-0924
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Zusammenfassung:Large-scale practical engineering problems featuring localized phenomena often benefit from local control of mesh and time resolutions to efficiently capture the spatial and temporal scales of interest. To this end, we propose an asynchronous space–time algorithm based on a domain decomposition method for structural dynamics problems on non-matching meshes. The three-field algorithm is based on the dual-primal like domain decomposition approach utilizing the localized Lagrange multipliers along the space and time common-refinement-based interface. The proposed algorithm is parallel in nature and well suited for a heterogeneous computing environment. Moreover, two-levels of parallelism are embedded in this novel scheme. For linear dynamical problems, the algorithm is unconditionally stable, shows an optimal order of convergence with respect to space and time discretizations as well as ensures conservation of mass, momentum and energy across the non-matching grid interfaces. The method of manufactured solutions is used to verify the implementation, and an engineering application is considered, where a sandwich plate is impacted by a projectile.
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ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-015-1228-0