Difficulties and solutions for estimating transport by perturbative experiments

The first part of this work reviews the algebraic matricial approach to transport data inversion. It works for the convection-diffusion transport equation used for periodic signals and provides a formally exact solution, as well as a quantitative assessment of error bars. The standard methods of rec...

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Bibliographic Details
Published in:Plasma physics and controlled fusion 2014-11, Vol.56 (11), p.114008-14
Main Authors: Sattin, F, Escande, D F, Auriemma, F, Urso, G, Terranova, D
Format: Article
Language:English
Subjects:
Algebra
Assessments
Controlled fusion
Estimating
Exact solutions
genetic algorithms
Mathematical models
model validation
perturbative experiments
Reconstruction
Transport
transport codes
transport modelling
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Summary:The first part of this work reviews the algebraic matricial approach to transport data inversion. It works for the convection-diffusion transport equation used for periodic signals and provides a formally exact solution, as well as a quantitative assessment of error bars. The standard methods of reconstruction infer the diffusivity D and pinch V by matching experimental data against those simulated by transport codes. These methods do not warrant the validity of either the underlying models of transport, or of the reconstructed D(r) and V(r), even when the results look reasonable. However, the adoption of automated global search algorithms based upon genetic algorithms is bound to greatly increase the probability of finding optimal solutions.
ISSN:0741-3335
1361-6587
DOI:10.1088/0741-3335/56/11/114008