Parallel magnetohydrodynamics on the Cray T3D

Future Generation Computer Systems

Volumn 12, Issue 4, 1996, Pages 307-323

  Meijer, P M ^a,b   Poedts, S ^a   Goedbloed, J P ^a,c  

^a FOM INSTITUTE FOR PLASMA PHYSICS RIJNHUIZEN   (Netherlands)

^b PHILIPS RESEARCH LABORATORIES   (Netherlands)

^c VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Cray T3D; Matrix vector multiplications; Parallel MHD; Scalar products; Tridiagonal systems solver

Indexed keywords

COMPUTER SIMULATION; EQUATIONS OF MOTION; FAST FOURIER TRANSFORMS; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; STORAGE ALLOCATION (COMPUTER); SUPERCOMPUTERS; VECTORS;

MATRIX VECTOR MULTIPLICATIONS; PARALLEL MAGNETROHYDRODYNAMICS; SCALAR PRODUCTS; TRIDIAGONAL SYSTEMS SOLVER;

PARALLEL PROCESSING SYSTEMS;

EID: 0030415244     PISSN: 0167739X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-739X(95)00029-R     Document Type: Article

References (19)

1. J.P. Goedbloed, Spectrum of ideal magnetohydrodynamics of axisymmetric toroidal systems, Phys. Fluids 18 (1975) 1258-1268.
2. J.P. Goedbloed, Magnetohydrodynamic instabilities in toroidal plasmas, Invited review in Trends in Physics, ed. M.M. Woolfson (Adam Hilger, Bristol, 1978) 324-335.
3. R. Kleibergen and J.P. Goedbloed, Alfvén wave spectrum of an analytic high-beta tokamak equilibrium, Plasma Physics and Controlled Fusion 30 (1988) 1961-1987.
4. G. Halberstadt, J.P. Goedbloed, S.M. Poedts and R.A.M. van der Linden, Line-tying effects on stability and heating of solar coronal loops, in Proc. Conf. on Mechanisms of Chromospheric and Coronal Heating, ed. P. Ulmschneider, E.R. Priest, R. Rosner (Springer-Verlag, 1991) 489-491.
5. S. Poedts, W. Kerner, J.P. Goedbloed, B. Keegan, G.T.A. Huysmans and E. Schwarz, Damping of global Alfvén waves in tokamaks due to resonant absorption, Plasma Phys. Contr. Fusion 34 (1992) 1397-1422.
6. A.G. Hearn, Invited review, Theory of winds from hot stars, Proc. Symp. on Circumstellar matter, eds. I. Appenzeller and C. Jordan, Reidel, Dordrecht (1987) 395-408.
7. P. Korevaar and A.G. Hearn, Time dependent corona models: dynamical response to perturbations, Astron. Astrophys. 220(1989) 177-184.
8. P. Korevaar and P.C.H. Martens, Time dependent corona models: scaling laws, Astron. Astrophys. 226 (1989) 203-214.
9. H.A. van der Vorst, Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM J. Sci. Stat. Comput. 13(2) (1992) 631-644.
10. H.A. van der Vorst, A Generalized Lanczos Scheme, Math. Comp. 39(160) (1982) 559-561.
11. A. van der Sluis and H.A. van der Vorst, The convergence behaviour of Ritz values in the presence of close eigenvalues, Linear Alg. Appl. 88/89 (1987) 651-694.
12. J.J. Dongarra and H.A. van der Vorst, Performance of various computers using standard sparse linear equations solving techniques, Supercomputer (Sep. 1992).
13. S. Poedts et al., Magnetohydrodynamics: parallel computation of the dynamics of thermonuclear and astrophysical plasmas, First annual report of massively parallel computing pilot project 93 MPR05, Rijnhuizen Report 94-223, FOM-Institute for Plasma Physics, P.O. Box 1207, 3430 BE Nieuwegein, The Netherlands.
14. J.G.L. Booten, P.M. Meijer, H.J.J. te Riele and H.A. van der Vorst, Parallel Arnoldi method for the construction of a Krylov subspace basis: an application in magnetohydrodynamics, in Proc. Int. Conf. and Exhibition on High-Performance Computing and Networking, Munich, Germany (April 1994), Vol. II:
15. Networking and Tools, W. Gentzsch and U. Harms, eds., Lecture Notes in Computer Science 797 (Springer-Verlag, Berlin, 1994).
16. G.L.G. Sleijpen and H.A. van der Vorst, A generalized Jacobi-Davidson iteration method for linear eigenvalue problems" preprint nr. 856, Department of Mathematics, University of Utrecht, 1994.
17. J.G.L. Booten, H.A. van der Vorst, P.M. Meijer and H.J.J. te Riele, A preconditioned Jacobi-Davidson method for solving large generalized eigenvalue problems, report NM-R9414, Department of Numerical Mathematics, CWI, Amsterdam, 1994.
18. S. Poedts, P.M. Meijer, J.P. Goedbloed, H.A. van der Vorst and A. Jakoby, Parallel magnetohydrodynamics on the CM-5, in Proc. Int. Conf. and Exhibition on High-Performance Computing and Networking, Munich, Germany (April 1994) Vol. II: Networking and Tools, W. Gentzsch and U. Harms, eds., 796, 365-370.
19. D.S. Harned and W. Kerner, Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation, J. Comput. Phys. 60 (1985) 62-75.