GATO swMATH ID: 8580 Software Authors: Bernard, L. C.; Helton, F. J.; Moore, R. W. Description: GATO: an MHD stability code for axisymmetric plasmas with internal separatrices. The GATO code computes the growth rate of ideal magnetohydrodynamic instabilities in axisymmetric geometries with internal separatrices such as doublet and expanded spheromak. The basic method, which uses a variational principle and a Galerkin procedure to obtain a matrix eigenvalue problem, is common to the ERATO and PEST codes. A new coordinate system has been developed to handle the internal separatrix. Efficient algorithms have been developed to solve the matrix eigenvalue problem for matrices of rank as large as 40 000. Further improvement is expected using graph theoretical techniques to reorder the matrices. Using judicious mesh repartition, the marginal point can be determined with great precision. The code has been extensively used to optimize doublet and general tokamak plasmas Homepage: http://www.sciencedirect.com/science/article/pii/0010465581901600 Related Software: ERATO; AEGIS; GridPort; CASTOR; LIGKA; AEGIS-K; HAGIS; ELITE Cited in: 8 Publications all top 5 Cited by 14 Authors 1 Burruss, J. R. 1 Chance, M. S. 1 Dewar, Robert L. 1 Fredian, T. W. 1 Grimm, Raymond C. 1 Helton, F. Joanne 1 Holderied, Florian 1 Kotschenreuther, M. T. 1 Manickam, J. 1 Mikić, Zoran 1 Morse, Edward C. 1 Possanner, Stefan 1 Thompson, M. R. 1 Van Dam, James Walter Cited in 3 Serials 6 Journal of Computational Physics 1 Physics of Fluids 1 Cited in 5 Fields 6 Fluid mechanics (76-XX) 3 Numerical analysis (65-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Citations by Year