ERATO stability code. Nature of problem: This computer code treats the stability of a Tokamak-like plasma described by the ideal linearized magnetohydrodynamic (MHD) equations. The plasma is considered to be in an equilibrium state. After perturbation of such an equilibrium, the evolution of the normal modes can be calculated by linearizing the ideal MHD equations. Any mode (unstable or stable) of the spectrum can be examined. Solution method: The variational form of the 2D ideal MHD equations is treated by a finite hybrid element approach, which proves to be well suited to describe the features of the problem with sufficient accuracy. The eigenvalue problem Ax= Omega squared Bx is solved by VEKIT (an inverse vector iteration), a subprogram of the block matrix library HYMNIABLOCK. The code consists of 5 main programs (ERATO 1 to ERATO 5) linked together by disk files.

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  1. Palha, A.; Koren, B.; Felici, F.: A mimetic spectral element solver for the Grad-Shafranov equation (2016)
  2. Ricketson, L. F.; Cerfon, A. J.; Rachh, M.; Freidberg, J. P.: Accurate derivative evaluation for any Grad-Shafranov solver (2016)
  3. Zheng, L. J.; Kotschenreuther, M. T.; Van Dam, J. W.: AEGIS-K code for linear kinetic analysis of toroidally axisymmetric plasma stability (2010)
  4. Rubinacci, Guglielmo; Ventre, Salvatore; Villone, Fabio; Liu, Yueqiang: A fast technique applied to the analysis of resistive wall modes with 3D conducting structures (2009)
  5. Blokland, J. W. S.; van der Holst, B.; Keppens, R.; Goedbloed, J. P.: PHOENIX: MHD spectral code for rotating laboratory and gravitating astrophysical plasmas (2007)
  6. Chance, M. S.; Turnbull, A. D.; Snyder, P. B.: Calculation of the vacuum Green’s function valid even for high toroidal mode numbers in tokamaks (2007)
  7. Zheng, L.-J.; Kotschenreuther, M.: AEGIS: An adaptive ideal-magnetohydrodynamics shooting code for axisymmetric plasma stability (2006)
  8. Beaumier, P.; Delrieux, Y.: Description and validation of the ONERA computational method for the prediction of blade-vortex interaction noise (2005)
  9. Jaun, A.; Blomqvist, K.; Bondeson, A.; Rylander, T.: Iterative solution of global electromagnetic wavefields with finite elements (2001)
  10. Goswami, Priyanka; Bhattacharyya, S. N.; Sen, A.: Spectrum of electrostatic modes in a cylindrical non-neutral plasma of arbitrary density (2000)
  11. Liu, D. H.; Bondeson, A.: Improved poloidal convergence of the MARS code for MHD stability analysis (1999)
  12. Fivaz, M.; Brunner, S.; de Ridder, G.; Sauter, O.; Tran, T. M.; Vaclavik, J.; Villard, L.; Appert, K.: Finite element approach to global gyrokinetic particle-in-cell simulations using magnetic coordinates (1998)
  13. Saramito, B.; Maschke, E.; Berroukeche, M.; Boussari, A.; Pineau, E.: Problems of MHD stability in thermonuclear fusion plasmas (1997)
  14. Lütjens, H.; Bondeson, A.; Sauter, O.: The CHEASE code for toroidal MHD equilibria (1996)
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  16. Bondeson, A.; Fu, G. Y.: Tunable integration scheme for the finite element method (1991)
  17. Takeda, Tatsuoki; Tokuda, Shinji: Computation of MHD equilibrium of tokamak plasma (1991)
  18. Popov, A. M.: Simulation of MHD processes in high-temperature plasma (1990)
  19. Turnbull, A. D.; Troyon, F.: Two variational forms of the MHD ballooning equation (1989)
  20. Eastwood, James W.: The two-dimensional adiabatic relaxation method for MHD modelling (1987)

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