FINESSE: Axisymmetric MHD equilibria with flow

Journal of Computational Physics

Volumn 182, Issue 1, 2002, Pages 91-117

  Belien A J C ^a   Botchev, M A ^a   Goedbloed, J P ^a   van der Holst, B ^b   Keppens, R ^a  

^a FOM INSTITUTE FOR PLASMA PHYSICS RIJNHUIZEN   (Netherlands)

^b CENTRE FOR PLASMA ASTROPHYSICS   (Belgium)

Author keywords

Axisymmetric; Equilibrium; Finite elements; Magnetohydrodynamics; PDEs; Stellar breeze

Indexed keywords

FINITE ELEMENT METHOD; MAGNETOPLASMA; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

AXISYMMETRIC; EQUILIBRIUM; FINITE ELEMENT; FINITE ELEMENT SOLVER; MAGNETOHYDRODYNAMIC EQUILIBRIA; MHD EQUILIBRIUM; PDE; STATIONARY EQUILIBRIUM; STELLAR BREEZE; STELLARS;

MAGNETOHYDRODYNAMICS;

EID: 0037058020     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7153     Document Type: Article

References (23)

1. A. J. C. Beliën, S. Poedts, and J. P. Goedbloed, Two-dimensional equilibrium in coronal magnetostatic flux tubes: An accurate equilibrium solver, Comput. Phys. Commun. 106, 21 (1997).
2. A. J. C. Beliën, J. P. Goedbloed, and B. van der Holst, Axisymmetric plasma equilibria with flow: A new solver, Europhy. Conf. Abstr. 24B, p. 892 (2000).
3. A. J. C. Beliën, M. A. Botchev, J. P. Goedbloed, B. van der Holst, and R. Keppens, Influence of poloidal flow on TAE modes, in Proceedings of 28th EPS conference on controlled fusion and plasma physics, June 18-22, 2001, Funchal Portugal (2001), Paper P3.041. Europhys. Conf. Abstr. 25A p. 1077 (2001).
4. A. J. C. Beliën, J. P. Goedbloed, and B. van der Holst, MHD waves and instabilities in accretion discs, in Proceedings of 28th EPS conference on controlled fusion and plasma physics, June 18-22, 2001, Funchal, Portugal (2001), Paper P3.110.
5. A. Bondeson, G. Vlad, and H. Lütjens, Resistive toroidal stability of internal kink modes in circular and shaped tokamaks, Phys. Fluids 7, 1889 (1992). Europhys. Conf. Abstr. 25A p. 1309 (2001).
6. J. P. Goedbloed, Some remarks on computing axisymmetric equilibria, Comput. Phys. Commun. 31, 123 (1984).
7. J. P. Goedbloed and A. Lifschitz, Stationary symmetric magnetohydrodynamic flows, Phys. Plasmas 4, 3544 (1997).
8. J. P. Goedbloed, Transonic magnetohydrodynamic flows in laboratory and astrophysical plasmas, Phys. Scripta T98, 43 (2002).
9. J. P. Goedbloed and A. Lifschitz, submitted for publication.
10. E. Hameiri, The equilibrium and stability of rotating plasmas, Phys. Fluids 26, 230 (1983).
11. B. van der Holst, A. J. C. Beliën, and J. P. Goedbloed, Low frequency Alfén waves induced by toroidal flows, Phys. Plasmas 7, 4208 (2000).
12. G. T. A. Huysmans, J. P. Goedbloed, and W. Kerner, Isoparametric bicubic Hermite elements for solution of the Grad-Shafranov equation, in Proc. CP90 Conf. on Comp. Phys. Proc. (World Scientific Publ. Co. 1991), p. 371.
13. G. T. A. Huysmans, J. P. Goedbloed, and W. Kerner, Free boundary resistive modes in tokamaks, Phys. Fluids 5, 1545 (1993).
14. R. Keppens and J. P. Goedbloed, Numerical simulations of stellar winds: polytropic models, Astron. Astrophys. 343, 251 (1999).
15. W. Kerner, J. P. Goedbloed, G. T. A. Huysmans, S. Poedts, and E. Schwarz, CASTOR: Normal-mode analysis of resistive MHD plasmas, J. Comput. Phys. 142, 271 (1998).
16. H. Lütjens, A. Bondeson, and A. Roy, Axisymmetric MHD equilibrium solver with bicubic Hermite elements, Comput. Phys. Commun. 69, 287 (1992).
17. K. G. Powell, P. L. Roe, T. J. Linde, T. I. Gombosi, and D. L. De Zeeuw, A solution-adaptive upwind scheme for ideal magnetohydrodynamics, J. Comput. Phys. 154, 284 (1999).
18. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vettering, Numerical Recipes (Cambridge Univ. Press, New York, 1989).
19. G. Strang and G. J. Fix, An Analysis of the Finite Element Method (Prentice Hall, Englewood Cliffs, NJ, 1973).
20. G. Tóth, R. Keppens, and M. A. Botchev, Implicit and semi-implicit schemes in the versatile advection code: numerical tests, Astron. Astrophys. 332, 1159 (1998).
21. G. Vlad, H. Lütjens, and A. Bondeson, Free boundary toroidal stability of ideal and resistive internal kinks, in Controlled Fusion and Plasma Heating, Proc. l8th European Conf. (EPS, Geneva, 1991), Vol. 15C, Part IV, p. 85.
22. R. Zelazny, R. Stankiewicz, A. Galkowski, and S. Potempski, Solutions to the flow equilibrium problem in elliptic regions, Plasma Phys. Control. Fusion 35, 1215 (1993).
23. H. P. Zehrfeld and B. J. Green, stationary toroidal Equilibria at finite beta, Nucl. Fusion 12, 569 (1972).