FLOW code web page

Three-dimensional density plot of a transonic DIII-D equilibrium


The code FLOW was developed as a collaboration between the University of Rochester and the Princeton Plasma Physics Laboratory. The purpose of the code is to study the equilibrium properties of toroidal devices, such as tokamaks, in conditions relevant to present day experiments.

The most unique feature of the code is the ability to study flow-dependent equilibria. Present day experiments often show the presence of high macroscopic flow. Large toroidal flows, of the order of a significant fraction of the sound spped, are routinely measured in tokamak plasmas (e.g., DIII-D, Alcator C-Mod), even in the absence of an external source of momentum. Measured toroidal rotation is particularly large in low-aspect ratio machines (NSTX, MAST). Poloidal rotation in experiments is somewhat lower and mostly observed near the plasma edge. Edge rotation can be of the order of the poloidal sound speed (~10s km/s): even such a small rotation can create large qualitative modifications in the equilibrium profiles. [R. Betti, J. P. Freidberg, PoP 7, 2439 (2000)]

Despite the obvious relevance of the study of equilibrium in the presence of strong flow, little work has been done on the subject, in particular regarding poloidal rotation, which constitutes a more difficult problem with respect to purely toroidal rotation. To the best of the authors' knowledge, before the code development no numerical work at all had been done on equilibria with poloidal flow exceeding the poloidal sound speed.

The code main targets are:

1)  The study of MHD and kinetic tokamak equilibria with purely toroidal flow

2)  The study of MHD equilibria in the presence of arbitrary poloidal flow

For a more detailed description of the code, see [L. Guazzotto, R. Betti, J. Manickam and S. Kaye, PoP 11, 604 (2004)]

References and support material:

L. Guazzotto, R. Betti, J. Manickam and S. Kaye, Phys. Plasmas 11, 604 (2004)

L. Guazzotto and R. Betti, Phys. Plasmas 12, 056107 (2005)

L. Guazzotto, J. P. Freidberg and J. Kesner, Phys. Plasmas 14, 062501 (2007)

L. Guazzotto and R. Paccagnella, Plasma Phys. Controlled Fusion 51, 065013 (2009)

L. Guazzotto, R. Betti and S. C. Jardin, Phys. Plasmas 20, 042502 (2013)

L. Guazzotto and E. Hameiri Phys. Plasmas 21, 022512 (2014)

FLOW code NEW user manual

FLOW code source files

Contact: Luca Guazzotto, Auburn University

Copyright notes:

1) For the Physics of Plasmas papers:

Copyright American Institute of Physics. These articles may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

2) For the Plasma Physics and Controlled Fusion paper:

This is an author-created, un-copyedited version of an article accepted for publication in Plasma Physics and Controlled Fusion. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at (IOP website)

last modified January 28 2016