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Session RP1 - Poster Session VIII.
POSTER session, Thursday afternoon, October 30
Fran Hill Southeast Exhibit Hall, ACC

[RP1.027] Reconstruction of 3D Equilibria from Flux Surface Knowledge Only

H.E. Mynick, N. Pomphrey (Princeton Plasma Physics Laboratory)

Using the properties of the Grad-Shafranov (GS) equation, Christiansen and Taylor (CT) have shown(J.P. Christiansen, J.B. Taylor, Nucl.Fusion) 22, 111 (1982). that complete MHD equilibria may be obtained for axisymmetric tokamaks with noncircular cross-sections, provided that one initially knows only the shapes of the flux surfaces. Starting from a 3D generalization of the GS equation(L.M. Degtyarev, V.V. Drozdov, M.I. Mikhailov, V.D. Pustovitov, V.D. Shafranov, Sov. J. Plasma Phys.) 11 22 (1985), we have recently demonstrated(H.E. Mynick, N. Pomphrey, Phys. Plasmas) 9,1050 (2002) that this remarkable result can be extended to 3D systems like stellarators.

A code to practically implement this earlier formal result is nearing completion. For testing, the code takes plasma shapes from VMEC equilibria, and the predicted profiles are compared with those from VMEC. With it, we will test if this extended CT method may be used as a practical diagnostic to use emissivity data from stellarators, and what the sensitivity of the results are to uncertainties and sparseness of the experimental data.

Part R of program listing