A discontinuous Galerkin method for two-temperature plasmas

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 25-28, 2006, Pages 3504-3527

  Lin, Guang ^a   Karniadakis, George Em ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

Non equilibrium plasma; Spectral elements; Viscous MHD

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; PLASMA FLOW; VISCOSITY;

DISCONTINUOUS GALERKIN METHOD; NON-EQUILIBRIUM PLASMA; VISCOUS MAGNETOHYDRODYNAMICS;

GALERKIN METHODS;

CONVERGENCE OF NUMERICAL METHODS; GALERKIN METHODS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; PLASMA FLOW; VISCOSITY;

EID: 33645933626     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.06.024     Document Type: Article

References (31)

1. Gatsonis N.A., and Yin X. Hybrid (particle/fluid) modeling of pulsed plasma thruster plumes. J. Spacecraft Rockets 17 (2001) 945-958
2. Gatsonis N.A., Nanson R.A., and Le Beau G.J. Simulations of cold-gas nozzle and plume flows and flight data comparisons. J. Spacecraft Rockets 37 (2000) 39-48
3. Dai W., and Woodward P.R. A simple Riemann solver and high-order Godunov schemes for hyperbolic systems of conservation laws. J. Comput. Phys. 121 (1995) 51
4. Zachary A.L., Malagoli A., and Colella P. A higher-order Godunov method for multidimensional ideal magnetohydrodynamics. SIAM J. Sci. Stat. Comput. 15 (1994) 15
5. Peterkin R.E., Frese M.H., and Sovinec C.R. Transport magnetic flux in an arbitrary coordinate ALE code. J. Comput. Phys. 140 (1998) 148
6. K.G. Powell, An approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension), ICASE Report No. 94-24, 1994.
7. Jones O.S., Shumlak U., and Eberhardt D.S. An implicit scheme for nonideal magnetohydrodynamics. J. Comput. Phys. 130 (1997) 231
8. P. Colella, M. Dorr, D.D. Wake, A conservative finite difference method for the numerical solution of plasma fluid equations, Technical Report UCRL-JC-129912, 1998.
9. P.J. Turchi, P.G. Mikellides, Modeling of ablation-fed pulsed plasma thrusters, in: 31st AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, July 10-12 1995.
10. U. Shumlak, B. Udrea, An approximate Riemann solver for MHD computations on parallel architectures, in: AIAA 2001-2591, 15th AIAA Computational Fluid Dynamics Conference, Anaheim, CA, 11-14 June 2001.
11. Freidber J.P. Ideal magnetohydrodynamic theory of magnetic fusion systems. Rev. Mod. Phys. 54 3 (1982) 801
12. Shumlak U., and Loverich J. Approximate Riemann solver for the two-fluid plasma model. J. Comput. Phys. 187 (2003) 620
13. Brown R.T., and Mitchner M. Measurements of a nonequilibrium plasma boundary layer. Phys. Fluids 14 5 (1971) 933
14. J.R. Roth, D.M. Sherman, Boundary layer flow control with a one atmosphere uniform glow discharge surface plasma, in: AIAA 98-0328, 36th Aerospace Sciences Meeting & Exhibit, Reno, NV, 12-15 January 1998.
15. S.P. Wilkinson, Investigation of an oscillating surface plasma for turbulent drag reduction, in: AIAA 2003-1023, 41st Aerospace Sciences Meeting & Exhibit, Reno, NV, 6-9 January 2003.
16. Warburton T.C., and Karniadakis G.E. A discontinuous Galerkin method for the viscous MHD equations. J. Comput. Phys. 152 (1999) 933
17. Dahlburg R.B., and Picone J.M. Evolution of the Orszag-Tang vortex system in a compressible medium. I. Initial average subsonic flow. Phys. Fluids B 1 11 (1989)
18. Kreiss H.O., and Olinger J. Methods for the Approximate Solution of Time-Dependent Problems. GARP Publ. Ser. vol. 10 (1973), GARP, Geneva
19. Gaitonde D.V. High-order solution procedure for three-dimensional nonideal magnetogasdynamics. AIAA J. 39 11 (2001) 2111
20. D.V. Gaitonde, J. Poggie, Elements of a numerical procedure for 3-D MGD flow control analysis, in: AIAA 2002-0198, 40th Aerospace Sciences Meeting & Exhibit, Reno, NV, 14-17 January 2002.
21. A.H. Glasser, X.Z. Tang, Progress in the development of the SEL macroscopic modeling code, in: Sherwood Fusion Theory Conference, Corpu Christi, TX, 28-30 April 2003.
22. Cockburn B., Karniadakis G.E., and Shu C.-W. The development of discontinuous Galerkin methods. Discontinuous Galerkin Methods: Theory, Computation and Applications (2000), Springer
23. Evans C.R., and Hawley J.F. Simulation of magnetohydrodynamic flows: a constrained transport method. Astro. Phys. J. 332 (1988) 659-677
24. Karniadakis G.E., and Sherwin S.J. Spectral/hp Element Methods for CFD (1999), Oxford University Press
25. Gurski K.F. An HLLC-type approximate Riemann solver for ideal magnetohydrodynamics. SIAM J. Sci. Comput. 25 (2004) 2165-2187
26. Brackbill J.U., and Barnes D.C. The effect of nonzero ∇ · b on the numerical solution of the magnetohydrodynamic equations. J. Comput. Phys. 35 (1980) 426
27. Janhunen P. A positive conservative method for magnetohydrodynamics based on HLL and Roe methods. J. Comput. Phys. 160 (2000) 649-661
28. K.G. Powell, P.L. Roe, R.S. Myong, T.I. Gombosi, D.L. DeZeeuw, An upwind scheme for magnetohydrodynamics, in: AIAA 12th Computational Dynamics Conference, San Diego, CA, AIAA-95-1704, 1995, p. 661.
29. Priest E. Solar Magnetohydrodynamics (1982), D. Reidel Publishing Company
30. Mitchner M., and Kruger Jr. C.H. Partially Ionized Gases (1973), John Wiley & Sons, Inc.
31. Brio M., and Wu C.C. An upwind differencing scheme for the equations of ideal magnetohydrodynamics. J. Comput. Phys. 75 (1988) 400