VMEC: Difference between revisions
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<ref>[http://dx.doi.org/10.1016/0010-4655(86)90058-5 S.P. Hirschman et al, ''Three-dimensional free boundary calculations using a spectral Green's function method'', Computer Physics Communications '''43''', 1 (1986) 143-155]</ref> | <ref>[http://dx.doi.org/10.1016/0010-4655(86)90058-5 S.P. Hirschman et al, ''Three-dimensional free boundary calculations using a spectral Green's function method'', Computer Physics Communications '''43''', 1 (1986) 143-155]</ref> | ||
== | == Uses of the code == | ||
Due to its speed in computing the MHD equilibrium problem in 3-D it has become the "de facto" standard code for calculating 3-D equilibria. This means that practically all the laboratories | |||
with stellerator devices uses it. It has also been used to model tokamak equilibria and lately (2010) it has been applied to reverse field pinches, in particular helical equilibria (non-axisymmetric) in the RFX-Mod | |||
http://onlinelibrary.wiley.com/doi/10.1002/ctpp.200900010/abstract;jsessionid=4984B4F8ECA726F21E87571E4C98F904.d03t01 | |||
The code is being used at fusion laboratories all over the world: | |||
* ORNL, Oak Ridge, TN, USA ([http://www.ornl.gov/sci/fed/Theory/stci/code_library.html code origin]) | * ORNL, Oak Ridge, TN, USA ([http://www.ornl.gov/sci/fed/Theory/stci/code_library.html code origin]) | ||
* PPPL, Princeton, NJ, USA | * PPPL, Princeton, NJ, USA | ||
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* NIFS, Japan | * NIFS, Japan | ||
* RFX, Padova. Italy | * RFX, Padova. Italy | ||
* HSX, Madison, USA | |||
* [[Laboratorio Nacional de Fusión|LNF]], Spain | * [[Laboratorio Nacional de Fusión|LNF]], Spain | ||
Revision as of 15:10, 3 November 2010
The three-dimensional Variational Moments Equilibrium Code (VMEC) minimizes the energy functional
over the toroidal domain Ωp. The solution is obtained in flux coordinates (s, θ, ζ), related to the cylindrical coordinates (R, φ, Z) by
The code assumes nested flux surfaces. [1] [2]
Uses of the code
Due to its speed in computing the MHD equilibrium problem in 3-D it has become the "de facto" standard code for calculating 3-D equilibria. This means that practically all the laboratories with stellerator devices uses it. It has also been used to model tokamak equilibria and lately (2010) it has been applied to reverse field pinches, in particular helical equilibria (non-axisymmetric) in the RFX-Mod http://onlinelibrary.wiley.com/doi/10.1002/ctpp.200900010/abstract;jsessionid=4984B4F8ECA726F21E87571E4C98F904.d03t01
The code is being used at fusion laboratories all over the world:
- ORNL, Oak Ridge, TN, USA (code origin)
- PPPL, Princeton, NJ, USA
- IPP, at Garching and Greifswald, Germany
- CRPP, Lausanne, Switzerland
- NIFS, Japan
- RFX, Padova. Italy
- HSX, Madison, USA
- LNF, Spain
Enhancements / extensions of the code
References
- ↑ S.P. Hirschman et al, Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria, Phys. Fluids 26 (1983) 3553
- ↑ S.P. Hirschman et al, Three-dimensional free boundary calculations using a spectral Green's function method, Computer Physics Communications 43, 1 (1986) 143-155
- ↑ H.J. Gardner, Nucl. Fusion 30 (1990) 1417
- ↑ E. Strumberger, Finite-β magnetic field line tracing for Helias configurations, Nucl. Fusion 37 (1997) 19
- ↑ D.A. Spong et al., Physics issues of compact drift optimized stellarators, Nucl. Fusion 41 (2001) 711