The parallel implementation of the one-dimensional Fourier transformed Vlasov-Poisson system

Computer Physics Communications

Volumn 170, Issue 2, 2005, Pages 205-230

  Eliasson, Bengt ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Domain decomposition; Fourier method; Schur complement; Vlasov equation

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER OPERATING SYSTEMS; COMPUTER PROGRAMMING LANGUAGES; NUMERICAL METHODS; PARALLEL ALGORITHMS; PLASMAS; PROBLEM SOLVING;

DOMAIN DECOMPOSITION; FOURIER METHODS; SCHUR COMPLEMENT; VLASOV EQUATION;

FOURIER TRANSFORMS;

EID: 21644433553     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2005.03.107     Document Type: Article

References (19)

1. T.P. Armstrong, R.C. Harding, G. Knorr, and D. Montgomery Solution of Vlasov's equation by transform methods Methods Comput. Phys. 9 1970 29 86
2. C.Z. Cheng, and G. Knorr The integration of the Vlasov equation in configuration space J. Comput. Phys. 22 1976 330 351
3. C.Z. Cheng The integration of the Vlasov equation for a magnetized plasma J. Comput. Phys. 24 1977 348 360
4. A.J. Klimas, and W.M. Farrel A splitting algorithm for Vlasov simulation with filamentation filtration J. Comput. Phys. 110 1994 150 163
5. E. Fijalkow Numerical solution to the Vlasov equation: the 1D code Comput. Phys. Comm. 116 1999 329 335
6. E. Fijalkow Numerical solution to the Vlasov equation: the 1D code Comput. Phys. Comm. 116 1999 336 344
7. A. Mangeney, F. Califano, C. Cavazzoni, and P. Travnicek A numerical scheme for the integration of the Vlasov-Maxwell system of equations J. Comput. Phys. 2002 495 538
8. F. Filbet, and E. Sonnendrücker Comparison of Eulerian Vlasov solvers Comput. Phys. Comm. 150 3 2003 247 266
9. B. Eliasson Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov-Poisson system J. Sci. Comput. 16 2001 1 28
10. B. Eliasson Outflow boundary conditions for the Fourier transformed two-dimensional Vlasov equation J. Comput. Phys. 181 2002 98 125
11. B. Eliasson Numerical modelling the Fourier transformed two-dimensional Vlasov-Maxwell system J. Comput. Phys. 190 2003 501 522
12. M.E. Dieckmann, B. Eliasson, A. Stathopoulos, and A. Ynnerman Connecting shock velocities to electron injection mechanisms Phys. Rev. Lett. 92 2003 65006/1-4
13. B. Eliasson, and P.K. Shukla Production of non-isothermal electrons and Langmuir waves due to colliding ion holes and trapping of plasmons in an ion hole Phys. Rev. Lett. 92 9 2004 095006/1-4
14. B. Eliasson, and P.K. Shukla Dynamics of electron holes in an electron-oxygen ion plasma Phys. Rev. Lett. 93 2004 045-001
15. S. Lele Compact finite difference schemes with spectral-like resolution J. Comput. Phys. 103 1992 16 42
16. V. Kumar, A. Grama, A. Gupta, and G. Karypis Introduction to Parallel Computing: Design and Analysis of Algorithms 1994 Benjamin/Cummings Publishing Company Inc. (Chapter 4)
17. B. Eliasson, Domain decomposition of the Padé scheme and pseudo-spectral method, used in Vlasov simulations, IT Scientific Report 2002-029, ISSN 1404-3203, Uppsala University, 2002. Downloadable from Web site http://www.it.uu.se/research/reports
18. P.N. Swarztrauber Vectorizing the FFTs G. Rodrigue Parallel Computations 1982 Academic Press 51 83
19. http://www.netlib.org/bihar/