Compact difference methods for discharge modeling in aerodynamics

40th AIAA Plasmadynamics and Lasers Conference

Volumn , Issue , 2009, Pages

  Poggie, Jonathan ^a  

^a AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AVIATION; BOUNDARY LAYER FLOW; FLOW CONTROL; GLOW DISCHARGES; HYPERSONIC BOUNDARY LAYERS; INCOMPRESSIBLE FLOW; LAMINAR BOUNDARY LAYER; ONE DIMENSIONAL; PLASMA SHEATHS; POISSON EQUATION;

COMPACT DIFFERENCE METHOD; COMPACT DIFFERENCE SCHEME; COMPUTATIONAL COSTS; DISCHARGE MODELING; HIGH ORDER COMPACT DIFFERENCE METHOD; NUMERICAL APPROACHES; ORDER OF ACCURACY; QUANTITATIVE RESULT;

FINITE DIFFERENCE METHOD;

EID: 77958132357     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2009-3908     Document Type: Conference Paper

References (40)

1. Surzhikov, S. T. and Shang, J. S., "Two-Component Plasma Model for Two-Dimensional Glow Discharge in Magnetic Field, " Journal of Computational Physics, Vol. 199, 2004, pp. 437-464.
2. Mahadevan, S. and Raja, L. L., "Simulations of Glow Discharge Phenomena in Air for High-Speed Flow Control, " AIAA Paper 2008-1093, American Institute of Aeronautics and Astronautics, Reston VA, January 2008.
3. Poggie, J., "Numerical Simulation of Direct Current Glow Discharges for High-Speed Flow Control, " Journal of Propulsion and Power, Vol. 24, No. 5, 2008, pp. 916-922.
4. Poggie, J., "Numerical Simulation of DC and RF Glow Discharges, " AIAA Paper 2007-0632, American Institute of Aeronautics and Astronautics, Reston VA, January 2007.
5. Poggie, J., "Discharge Modeling for Flow Control Applications, " AIAA Paper 2008-1357, American Institute of Aeronautics and Astronautics, Reston VA, January 2008.
6. Lele, S. K., "Compact Finite Difference Schemes with Spectral-Like Resolution, " Journal of Computational Physics, Vol. 103, 1992, pp. 16-42.
7. Gaitonde, D. V. and Visbal, M. R., "High-Order Schemes for Navier-Stokes Equations: Algorithm and Implementation in FDL3D, " AFRL Technical Report AFRL-VA-WP-TR-1998-3060, Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio, 1998.
8. Poggie, J., "High-Order Compact Difference Methods for Glow Discharge Modeling, " AIAA Paper 2009-1047, American Institute of Aeronautics and Astronautics, Reston VA, January 2009.
9. Ward, A. L., "Effect of Space Charge in Cold-Cathode Gas Discharges, " Physical Review, Vol. 112, No. 6, 1958, pp. 1852-1857.
10. Ward, A. L., "Calculations of Cathode-Fall Characteristics, " Journal of Applied Physics, Vol. 33, No. 9, 1962, pp. 2789-2794.
11. Boeuf, J.-P., "A Two-Dimensional Model of DC Glow Discharges, " Journal of Applied Physics, Vol. 63, No. 5, 1988, pp. 1342-1349.
12. Raizer, Y. P. and Surzhikov, S. T., "Two-Dimensional Structure in a Normal Glow Discharge and Diffusion Effects in Cathode and Anode Spot Formation, " High Temperature, Vol. 26, No. 3, 1988, pp. 304-311.
13. Passchier, J. D. P. and Goedheer, W. J., "A Two-Dimensional Fluid Model for an Argon RF Discharge, " Journal of Applied Physics, Vol. 74, No. 6, 1993, pp. 3744-3751.
14. Young, F. F., "Two-Dimensional, Self-Consistent, Three-Moment Simulation of RF Glow Discharges, " IEEE Transactions on Plasma Science, Vol. 21, No. 3, 1993, pp. 312-321.
15. Hong, M. and Emmert, G. A., "Two-Dimensional Fluid Modeling of Time-Dependent Plasma Sheath, " Journal of Vacuum Science and Technology, Vol. 12, No. 2, 1994, pp. 889-896.
16. Sheridan, T. E. and Alport, M. J., "Two-Dimensional Model of Ion Dynamics During Plasma Source Ion Implantation, " Applied Physics Letters, Vol. 64, No. 14, 1994, pp. 1783-1785.
17. Georghiou, G. E., Papadakis, A. P., Morrow, R., and Metaxas, A. C., "Numerical Modelling of Atmospheric Pressure Gas Discharges Leading to Plasma Production, " Journal of Physics D: Applied Physics, Vol. 38, 2005, pp. R303-R328.
18. Graves, D. B. and Jensen, K. F., "A Continuum Model of DC and RF Discharges, " IEEE Transactions on Plasma Science, Vol. PS-14, No. 2, 1986, pp. 78-91.
19. Richards, A. D., Thompson, B. E., and Sawin, H. H., "Continuum Modeling of Argon Radio Frequency Glow Discharges, " Applied Physics Letters, Vol. 50, No. 9, 1987, pp. 492-494.
20. Barnes, M. S., Cotler, T. J., and Elta, M. E., "A Staggered-Mesh Finite-Difference Numerical Method for Solving the Transport Equations in Low Pressure RF Glow Discharges, " Journal of Computational Physics, Vol. 77, 1988, pp. 53-72.
21. Hammond, E. P., Mahesh, K., and Moin, P., "A Numerical Method to Simulate Radio-Frequency Plasma Discharges, " Journal of Computational Physics, Vol. 176, 2002, pp. 402-429.
22. Meyyappan, M. and Kreskovsky, J. P., "Glow Discharge Simulation Through Solutions to the Moments of the Boltzmann Transport Equation, " Journal of Applied Physics, Vol. 68, No. 4, 1990, pp. 1506-1512.
23. Meyyappan, M., "A Continuum Model for Low-Pressure Radio-Frequency Discharges, " Journal of Applied Physics, Vol. 69, No. 12, 1991, pp. 8047-8051.
24. Widner, M., Alexeff, I., Jones, W. D., and Lonngren, K. E., "Ion Acoustic Wave Excitation and Ion Sheath Evolution, " The Physics of Fluids, Vol. 13, No. 10, 1970, pp. 2532-2540.
25. Sternberg, N. and Poggie, J., "Plasma-Sheath Transition in the Magnetized Plasma-Wall Problem for Collisionless Ions, " IEEE Transactions on Plasma Science, Vol. 32, No. 6, 2004, pp. 2217-2226.
26. Poggie, J. and Sternberg, N., "Transition from the Constant Ion Mobility Regime to the Ion-Atom Charge-Exchange Regime for Bounded Collisional Plasmas, " Physics of Plasmas, Vol. 12, No. 2, 2005, pp. 0235021-0235029.
27. Chapman, S. and Cowling, T. G., The Mathematical Theory of Non-Uniform Gases, Cambridge University Press, 2nd ed., 1952.
28. Appleton, J. P. and Bray, K. N. C., "The Conservation Equations for a Non-Equilibrium Plasma, " Journal of Fluid Mechanics, Vol. 20, No. 4, 1964, pp. 659{672.
29. Burgers, J. M., Flow Equations for Composite Gases, Academic Press, New York, 1969.
30. Morse, T. F., "Energy and Momentum Exchange between Nonequipartition Gases, " The Physics of Fluids, Vol. 6, No. 10, 1963, pp. 1420{1427.
31. Lister, G. G., "Low-Pressure Gas Discharge Modelling, " Journal of Physics D, Vol. 25, No. 12, 1992, pp. 1649-1680.
32. Yuan, X. and Raja, L. L., "Computational Study of Capacitively Coupled High-Pressure Glow Discharges in Helium, " IEEE Transactions on Plasma Science, Vol. 31, No. 4, 2003, pp. 495-503.
33. Adamovich, I. V., Subramaniam, V. V., Rich, J. W., and Macheret, S. O., "Phenomenological Analysis of Shock-Wave Propagation in Weakly Ionized Plasmas, " AIAA Journal, Vol. 36, No. 5, 1998, pp. 816-822.
34. White, F. M., Viscous Fluid Flow, McGraw-Hill, New York, 2nd ed., 1991.
35. Hoffmann, K. A. and Chiang, S. T., Computational Fluid Dynamics, Engineering Educational System, Wichita KS, 4th ed., 2000.
36. Anderson, W. K., Thomas, J. L., and van Leer, B., "A Comparison of Finite Volume Flux Vector Splittings for the Euler Equations, " AIAA Paper 85-0122, American Institute of Aeronautics and Astronautics, Reston VA, January 1985.
37. Cheney, W. and Kincaid, D., Numerical Mathematics and Computing, Brooks/Cole Publishing, Pacific Grove, California, 3rd ed., 1994.
38. Visbal, M. R. and Gaitonde, D. V., "Shock Capturing Using Compact-Differencing-Based Methods, " AIAA Paper 2005- 1265, American Institute of Aeronautics and Astronautics, Reston VA, January 2005.
39. Poggie, J. and Gaitonde, D. V., "Electrode Boundary Conditions in Magnetogasdynamic Flow Control, " AIAA Paper 2002-0199, American Institute of Aeronautics and Astronautics, Reston VA, January 2002.
40. Poggie, J., Gaitonde, D. V., and Sternberg, N., "Numerical Simulation of Plasma Sheaths in Aerodynamic Applications, " AIAA Paper 2002-2166, American Institute of Aeronautics and Astronautics, Reston VA, May 2002.