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The three-dimensional Variational Moments Equilibrium Code (VMEC) minimizes the energy functional | The three-dimensional Variational Moments Equilibrium Code (VMEC) minimizes the energy functional | ||
:<math>W = \int_{\omega_p}{ \left ( \ | :<math>W = \int_{\omega_p}{ \left ( \frac{1}{2 \mu_0} B^2 + p \right ) dV}</math> | ||
over the toroidal domain ω<sub>p</sub>. The solution is obtained in | over the toroidal domain ω<sub>p</sub>. The solution is obtained in |
Revision as of 10:09, 14 August 2009
The three-dimensional Variational Moments Equilibrium Code (VMEC) minimizes the energy functional
over the toroidal domain ωp. The solution is obtained in flux co-ordinates (s, θ, ζ), related to the cylindrical co-ordinates (R, φ, Z) by
The code assumes nested flux surfaces. [1]
Implementations of the code
The code is being used at:
- IPP-Garching, Germany
- NIFS, Japan
- LNF, Spain
Enhancements / extensions of the code
References
- ↑ S.P. Hirschmann 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