Multiscale and hysteresis effects in vortex pattern simulations for Ginzburg-Landau problems

The behavior and properties of vortex pattern solutions to a benchmark Ginzburg–Landau model are investigated using hybrid continuation algorithms in conjunction with parallel adaptive mesh refinement (AMR) schemes to resolve the local vortices. The model is related to phase transition models arisin...

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Vydáno v:International journal for numerical methods in engineering Ročník 81; číslo 7; s. 866 - 891
Hlavní autoři: Carey, Graham F., Knezevic, David J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 12.02.2010
Wiley
Témata:
Algorithms
Computational techniques
Computer simulation
Exact sciences and technology
finite element AMR
Finite element method
Fluid flow
Fundamental areas of phenomenology (including applications)
Ginzburg-Landau vortices
Hysteresis
Mathematical analysis
Mathematical methods in physics
Mathematical models
multiscale phenomena
Physics
Vortices
Landau model
finite element AMR
Refinement method
Superfluid
Ginzburg-Landau vortices
Ginzburg Landau equation
Automatic mesh generation
Adaptive method
Phase transitions
Finite element method
multiscale phenomena
Multiscale method
Vortices
Coherence
Superconductivity model
Variational calculus
Modelling
Vortex flow
Mesh generation
Hysteresis
ISSN:0029-5981, 1097-0207
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Shrnutí:The behavior and properties of vortex pattern solutions to a benchmark Ginzburg–Landau model are investigated using hybrid continuation algorithms in conjunction with parallel adaptive mesh refinement (AMR) schemes to resolve the local vortices. The model is related to phase transition models arising in superconductivity and superfluids. The approach is based on a coupled variational formulation and finite element approximation scheme for the complex‐valued solution. The associated algorithms implement continuation treatments based on the vortex scale coherence parameter and the winding number parameter in this model. Simulation results demonstrate the behavior of non‐unique solutions, as characterized by different vortex configurations, and energy plots are used to display hysteresis effects. The complex‐valued nature of the solution also serves to illustrate some interesting open questions related to AMR strategies and error indicators for complex‐valued solution fields as well as other implications for such coupled systems. Copyright © 2009 John Wiley & Sons, Ltd.
Bibliografie:istex:281E4E15ED3377D694C7EE561AE23E4A1EA2DDD1
ark:/67375/WNG-1H6CM6GR-Q
ArticleID:NME2714
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.2714