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Topology and transport: Difference between revisions
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The aim of this page is to introduce and report progress on the activities included in the research project ''Influence of global flows and their topology on transport in turbulent plasmas'', funded by the Spanish Ministry of Science and Innovation through the grant ENE2009-07247. The members of the research team are: | The aim of this page is to introduce and report progress on the activities included in the research project ''Influence of global flows and their topology on transport in turbulent plasmas'', funded by the Spanish [http://www.micinn.es Ministry of Science and Innovation] through the grant ENE2009-07247. The members of the research team are: | ||
* Iván Calvo (Principal Investigator), Laboratorio Nacional de Fusión, Asociación EURATOM-CIEMAT, Madrid, | * Iván Calvo (Principal Investigator), [[Laboratorio Nacional de Fusión]], Asociación EURATOM-CIEMAT, Madrid, | ||
* Benjamín Carreras, BACV Solutions Inc., Oak Ridge, Tennessee & University of Alaska, | * Benjamín Carreras, BACV Solutions Inc., Oak Ridge, Tennessee & University of Alaska, | ||
* Irene Llerena, Universidad de Barcelona, | * Irene Llerena, Universidad de Barcelona, | ||
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and during the next three years, we plan to study the problem in pressure-gradient-driven turbulence, | and during the next three years, we plan to study the problem in pressure-gradient-driven turbulence, | ||
with a possible extension to gyrokinetic models. For this we will make use of Computational | with a possible extension to gyrokinetic models. For this we will make use of Computational | ||
Homology. An important tool will be the software developed by the | Homology. An important tool will be the software developed by the [http://chomp.rutgers.edu Computational Homology Project (CHomP)] which, in particular, computes some topological invariants | ||
(the Betti numbers) of three-dimensional spaces. We will investigate the possibility of developing or | (the Betti numbers) of three-dimensional spaces. We will investigate the possibility of developing or | ||
using other tools which allow to improve the numerical resolution of the calculations. | using other tools which allow to improve the numerical resolution of the calculations. | ||
== Non-diffusive transport == | == Non-diffusive transport == | ||
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Recent experimental results in the TJ-II stellarator prove the existence of long-distance correlations | Recent experimental results in the TJ-II stellarator prove the existence of long-distance correlations | ||
in the electrostatic potential around the bifurcation point for the emergence of the plasma edge sheared | in the electrostatic potential around the bifurcation point for the emergence of the plasma edge sheared | ||
flow layer <ref>[http://prl.aps.org/abstract/PRL/v100/i21/e215003 M. A. Pedrosa et al., Phys. Rev. Lett. 100, 215003 (2008)]</ref>. Trying | flow layer <ref>[http://prl.aps.org/abstract/PRL/v100/i21/e215003 M.A. Pedrosa et al., Phys. Rev. Lett. '''100''', 215003 (2008)]</ref>. Trying | ||
to understand these results from a theoretical point of view, | to understand these results from a theoretical point of view, we have formulated a phenomenological model | ||
<ref>[http://www.iop.org/EJ/abstract/-search=68892777.7/0741-3335/51/6/065007 I. Calvo et al., Plasma Phys. Control. Fusion 51 065007 (2009)]</ref> based on the | <ref>[http://www.iop.org/EJ/abstract/-search=68892777.7/0741-3335/51/6/065007 I. Calvo et al., Plasma Phys. Control. Fusion '''51''', 065007 (2009)]</ref> based on the | ||
paradigm of flow shear generation by Reynolds stress and turbulence | paradigm of flow shear generation by Reynolds stress and turbulence suppression by | ||
shear. We suggest that the experimental results might be an indirect evidence of the development of poloidally asymmetric zonal flows. | shear. We suggest that the experimental results might be an indirect evidence of the development of poloidally asymmetric zonal flows. | ||
== References == | == References == | ||
<references /> | <references /> | ||