Outflow boundary conditions for the fourier transformed two-dimensional Vlasov equation

Journal of Computational Physics

Volumn 181, Issue 1, 2002, Pages 98-125

  Eliasson, Bengt ^a  

^a UPPSALA UNIVERSITY   (Sweden)

Author keywords

Fourier method; Outflow boundary; Vlasov equation

Indexed keywords

BOUNDARY CONDITIONS; FOURIER TRANSFORMS;

FOURIER; FOURIER METHODS; KINETIC PROCESS; OUTFLOW BOUNDARY; OUTFLOW BOUNDARY CONDITIONS; PLASMA PHENOMENA; SMALL SCALE; TWO-DIMENSIONAL; VELOCITY DIMENSIONS; WAVE BOUNDARY;

VLASOV EQUATION;

EID: 0036740988     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2002.7121     Document Type: Article

References (20)

1. T. P. Armstrong, R. C. Harding, G. Knorr, and D. Montgomery, Solution of Vlasov's equation by transform methods, Methods Comput. Phys. 9, 29 (1970).
2. F. F. Chen, Introduction to Plasma Physics and Controlled Fusion, Vol. 1: Plasma Physics, 2nd ed. (Plenum, New York, 1984).
3. C. Z. Cheng, The integration of the Vlasov equation for a magnetized plasma, J. Comput. Phys. 24, 348 (1977).
4. C. Z. Cheng and G. Knorr, The integration of the Vlasov equation in configuration space, J. Comput. Phys. 22, 330 (1976).
5. F. W. Crawford and J. A. Tataronis, Absolute instabilities of perpendicularly propagating cyclotron harmonic plasma waves, J. Appl. Phys. 36(9), 2930 (1965).
6. J. Denavit and W. L. Kruer, Comparison of numerical solutions of the Vlasov equation with particle simulations of collisionless plasmas, Phys. Fluids 14(8), 1782 (1971).
7. B. Eliasson, Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov-Poisson system, J. Sci. Comput. 16(1), 1 (2001).
8. J. Feng and W. N. G. Hitchon, Self-consistent kinetic simulation of plasmas, Phys. Rev. E 61, 3160 (1999).
9. F. Filbet, E. Sonnedrücker, and P. Bertrand, Conservative numerical schemes for the Vlasov equation, J. Comput. Phys. 172, 166 (2001).
10. B. Gustafsson and P. Olsson, Fourth-order difference methods for hyperbolic IBVPs, J. Comput. Phys. 117, 300 (1995).
11. A. J. Klimas and W. M. Farrel, A splitting algorithm for Vlasov simulation with filamentation filtration, J. Comput. Phys. 110, 150 (1994).
12. A. J. Klimas, A method for overcoming the velocity space filamentation problem in collisionless plasma model solutions, J. Comput. Phys. 68, 202 (1987).
13. S. K. Lele, Compact finite difference schemes with spectral-like resolution, J. Comput. Phys. 103, 16 (1992).
14. T. B. Leyser, Stimulated electromagnetic emission in high-frequency electromagnetic pumping of the ionospheric plasma, Space Sci. Rev. 98, 223 (2001).
15. C.-H. Lin, J. K. Chao, and C. Z. Cheng, One-demensional Vlasov simulations of Langmuir solitons, Phys. Plasmas 2, 4195 (1995).
16. G. Manfredi, Long-time behaviour of nonlinear Landau damping, Phys. Rev. Lett. 79, 2815 (1997).
17. H. Neunzert, Verallgemeinerte Lösungen von Eigenwertproblemen, zugehörige Entwicklungsfragen und die Anwendung auf Gleichungen der Transporttheorie, Jül-816-MA (Kernforschungsanlage Jülich, Zentralinstitut für Angewandte Mathematik, 1971).
18. H. Neunzert, An Introduction to the Nonlinear Boltzmann-Vlasov Equation, Preprint 28. Lectures given at the international summerschool "Kinetic Theories and Boltzmann Equation" of C.I.M.E. in Montecatini (Italy), June, 1981.
19. K. Rönnmark, WHAMP: Waves in a Homogenous, Anisotropic, Multicomponent Plasma, Report 179 (Kiruna Geophysical Institute, Kiruna, Sweden, 1982).
20. J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations (Wadsworth, Belmont, CA, 1989).