A high resolution wave propagation scheme for ideal Two-Fluid plasma equations

Journal of Computational Physics

Volumn 219, Issue 1, 2006, Pages 418-442

  Hakim, A ^a   Loverich, J ^a   Shumlak, U ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Gudonov method; High resolution; Magnetic reconnection; Maxwell equations; Plasma physics; Solitons; Two Fluid

Indexed keywords

ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC WAVE PROPAGATION IN PLASMA; MAGNETOHYDRODYNAMICS; MAGNETOPLASMA; SOLITONS; TWO PHASE FLOW;

GUDONOV METHOD; HIGH RESOLUTION; MAGNETIC RECONNECTIONS; PLASMA PHYSICS; PROPAGATION METHOD; RIEMANN PROBLEM; TWO-FLUID; TWO-FLUID MODELING; TWO-FLUID PLASMAS; WAVE PROPAGATION SCHEME;

MAXWELL EQUATIONS;

EID: 33750365476     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.03.036     Document Type: Article

References (36)

1. Woods L. Physics of Plasmas (2004), Wiley-VCH, New York
2. Friedberg J.P. Ideal Magnetohydrodynamics (1987), Plenum Press, New York
3. J. Loverich, A. Hakim, U. Shumlak, A discontinuous Galerkin method for ideal two-fluid plasma equations, Journal of Computational Physics, submitted for publication.
4. Munz C.-D., Omnes P., Schneider R., Sonnendrüker E., and Voß U. Divergence correction techniques for Maxwell solvers based on a hyperbolic model. Journal of Computational Physics 161 (2000) 484-511
5. LeVeque R.J. Finite Volume Methods For Hyperbolic Problems (2002), Cambridge University Press, Cambridge
6. J. Rossmanith, A wave propagation method with constrained transport for ideal and shallow water magnetohydrodynamics, Ph.D. Thesis, University of Washington, 2002.
7. Shumlak U., and Loverich J. Approximate Riemann solver for the two fluid plasma model. Journal of Computational Physics 187 (2003) 620-638
8. Davidson R.C. Methods in Nonlinear Plasma Theory (1972), Academic Press, New York
9. Ishimaru A. Electromagnetic Wave Propagation, Radiation and Scattering (1991), Prentice-Hall, Englewood Cliffs, NJ
10. Steinhauer L., and Ishida A. Relaxation of two-species magnetofluid and application to finite-β flowing plasma. Physics of Plasmas 5 7 (1998) 2609-2622
11. In: Büchner J., Dunn C., and Scholer M. (Eds). Space Plasma Simulations (2003), Springer, New York
12. Steinhauer L.C., Yamada H., and Ishida A. Two-fluid flowing equilibria of compact plasmas. Physics of Plasmas 8 9 (2001) 4053-4061
13. Davidson R., and Gladd N. Anomalous transport properties associated with the lower-hybrid-drift instability. The Physics of Fluids 18 10 (1975) 1327-1335
14. Huba J., and Gladd N. Lower-hybrid-drift instability in field reversed plasmas. Physics of Fluids 23 3 (1980) 552-561
15. Jiang B.-N., Wu J., and Povinelli L. The origin of spurious solutions in computational electromagnetics. Journal of Computational Physics 125 (1996) 104-123
16. C.-D. Munz, P. Omnes, R. Schneider, A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes, Computer Physics Communications.
17. Munz C.-D., and Voß U. A finite-volume method for the Maxwell equations in the time domain. SIAM Journal of Scientific Computing 22 2 (2000) 449-475
18. Kulikoviskii A.G., Pogorelov N.V., and Semenov A.Y. Mathematical Aspects of Numerical Solutions of Hyperbolic Systems (2001), Chapman & Hall/CRC, London/Boca Raton, FL
19. Bale D., LeVeque R.J., Mitran S., and Rossmanith J.A. A wave-propagation method for conservation laws and balance laws with spatially varying flux functions. SIAM Journal of Scientific Computing 24 (2002) 955-978
20. Langseth J.O., and LeVeque R. A wave propagation method for three-dimensional hyperbolic conservation laws. Journal of Computational Physics 165 (2000) 126-166
21. Roe P. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics 43 (1981) 357-372
22. Brio M., and Wu C. An upwind differencing scheme for the equations of ideal magnetohydrodynamics. Journal of Computational Physics 75 (1988) 400-422
23. Jones O.S., Shumlak U., and Eberhardt D.S. An implicit scheme for nonideal magnetohydrodynamics. Journal of Computational Physics 130 (1997) 231-242
24. Baboolal S. Finite-difference modeling of solitons induced by a density hump in a plasma multi-fluid. Mathematics and Computers in Simulation 55 (2001) 309-316
25. McKenzie J., and Doyle T. Oblique solitons in a cold magnetized plasma. Physics of Plasmas 8 10 (2001) 4367-4374
26. McKenzie J., and Doyle T. The properties of fast and slow oblique solitons in a magnetized plasma. Physics of Plasmas 9 1 (2001) 55-63
27. Cohn D., and McKenzie K. Density-step-excited ion-acoustic solitons. Physical Review Letters 30 (1973) 258-261
28. Priest E., and Forbes T. Magnetic Reconnection (2000), Cambridge University Press, Cambridge
29. Birn J., et al. Geospace environmental modeling (GEM) magnetic reconnection challenge. Journal of Geophysical Research 106 (2001) 3715
30. Hesse M., Birn J., and Kuznetsova M. Collisionless magnetic reconnection: electron processes and transport modeling. Journal of Geophysical Research 106 A3 (2001) 3721
31. Birn J., and Hesse M. Geospace environment modeling (GEM) magnetic reconnection challenge: resistive tearing, anisotropic pressure and Hall effects. Journal of Geophysical Research 106 A3 (2001) 3737
32. A. Otto, Geospace environment modeling (GEM) magnetic reconnection challenge: MHD and Hall MHD - constant and current dependent resistivity models, Journal of Geophysical Research.
33. M. Shay, J. Drake, B. Rogers, R. Denton, Alfvénic collisionless magnetic reconnection and the Hall term, Journal of Geophysical Research.
34. Ma Z., and Bhattacharjee A. Hall magnetohydrodynamic reconnection: the geospace environment modeling challenge. Journal of Geophysical Research 106 A3 (2001) 3773
35. Prichette P. Geospace environment modeling magnetic reconnection challenge: simulations with a full particle electromagnetic code. Journal of Geophysical Research 106 A3 (2001) 3783
36. Kuznetsova M.M., Hesse M., and Winske D. Collisionless reconnection supported by nongyrotropic pressure effects in hybrid and particle simulations. Journal of Geophysical Research 106 A3 (2001) 3799