Electromagnetic fluid dynamics for aerospace applications. Part II: Numerical simulations using different physical models

35th AIAA Plasmadynamics and Lasers Conference

Volumn , Issue , 2004, Pages

  D'Ambrosio, Domenic ^a   Pandolfi, Maurizio ^a   Giordano, Domenico ^b  

^a POLITECNICO DI TORINO   (Italy)

^b ESTEC Aerothermodynamics Section   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE APPLICATIONS; MAXWELL EQUATIONS; NUMERICAL METHODS; SHOCK TUBES;

BALANCE EQUATIONS; ELECTROMAGNETIC FLUID DYNAMICS; MAGNETOFLUIDDYNAMICS; ONE DIMENSION; PHYSICAL MODEL; SHOCK-TUBE PROBLEM;

MAGNETOHYDRODYNAMICS;

EID: 85085402318     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2004-2362     Document Type: Conference Paper

References (34)

1. Shang, J. S., "Shared Knowledge in Computational Fluid Dynamics, Electromagnetics, and Magneto-Aerodynamics," Progress in Aerospace Sciences, Vol. 38, 2002, pp. 449-467.
2. Giordano, D., "Hypersonic-Flow Governing Equations with Electromagnetic Fields," AIAA Paper 2002-2165, May 2002.
3. th AIAA Plasmadynamics and Lasers Conference, Portland, OR, June 2004.
4. Shumlak, U. and Loverich, J., "Approximate Riemann Solver for the Two-Fluid Plasma Model," Journal of Computational Physics, Vol. 187, 2003, pp. 620-638.
5. Hakim, A., Shumlak, U., Aberle, C., and Loverich, J., "Maxwell Equations Solver for Plasma Simulations Based on Mixed Potential Formulation," AIAA 2003-3829, June 2003.
6. Damevin, H.-M. and Hoffmann, K. A., "Numerical Simulations of Hypersonic Magnetogasdynamics Flows over Blunt Bodies," AIAA-2002-0201, January 2002.
7. Gaitonde, D. V. and Poggie, J., "Elements of a Numerical Procedure for 3-D MGD Flow Control Analysis," AIAA-2002-198, January 2002.
8. Brio, M. and Wu, C. C., "An Upwind Differencing Scheme for the Equations of Ideal Magnetohydrodynamics," Journal of Computational Physics, Vol. 75, 1988, pp. 400-422.
9. Powell, K. G., Roe, P. L., Myong, R. S., Gombosi, T., and Zeeuw, D. L. D., "An Upwind Scheme for Magnetohydrody-namics," AIAA-95-1704-CP, 1995.
10. Myong, R. S. and Roe, P. L., "On Gudonov-Type Schemes for Magnetohydrodynamics," Journal of Computational Physics, Vol. 147, 1998, pp. 545-567.
11. MacCormack, R. W., "An Upwind Conservation Form Method for the Ideal Magnetohydrodynamics Equations," AIAA 99-3609, June 1999.
12. Linde, T. J., A Three-Dimensional Adaptive Multifluid MHD Model for the Heliosphere, Ph.D. thesis, Univ. of Michigan, 1998.
13. Janhunen, P., "A positive conservative method for magnetohydrodynamics based on HLL and Roe methods," Journal of Computational Physics, Vol. 160, 2000, pp. 649-661.
14. Xu, K., "Gas-kinetic Theory Based Flux Splitting Method for Ideal Magnetohydrodynamics," ICASE Report 98-53, November 1998.
15. Dai, W. and Woodward, P. R., "A High-Order Godunov-type Scheme for Shock Interactions in Ideal Magnetohydrody-namics," SIAM J. Sci. Comput., Vol. 18, No. 4, 1997, pp. 957-981.
16. Sterk, H. D., Csic, A., Abeele, D. V., Poedts, S., and Deconinck, H., "Stationary Two-Dimensional Magnetohydrody-namics Flows with Shocks: Characteristic Analysis and Grid Convergence Study," Journal of Computational Physics, Vol. 166, 2001, pp. 28-62.
17. Augustinus, J., Hoffmann, K. A., and Harada, S., "Effect of Magnetic Field on the Structure of High-Speed Flows," J. Spacecraft and Rockets, Vol. 35, No. 5, 1998, pp. 639-646.
18. Gaitonde, D. V., "High-Order Solution Procedure for Three-Dimensional Nonideal Magnetogasdynamics," AIAA Journal, Vol. 39, No. 11, 2001, pp. 2111-2120.
19. Pandolfi, M., "A Contribution to the Numerical Prediction of Unsteady Flows," AIAA Journal, Vol. 22, No. 5, 1983, pp. 602-610.
20. D'Ambrosio, D., "Numerical Prediction of Laminar Shock-Shock Interactions in Hypersonic flow," Journal of Spacecrafts and Rockets, Vol. 40, No. 2, 2003, pp. 153-161.
21. Harten, A., Engquist, B., Osher, S., and Chakravarthy, S. R., "Uniformly High Order Accurate Essentially Non-Oscillatory Schemes, III," Journal of Computational Physics, Vol. 71, 1987, pp. 231-303.
22. th AIAA Plasmadynamics and Lasers Conference, Portland, OR, June 2004.
23. Sutton, G. W. and Sherman, A., Engineering Magnetohydrodynamics, McGraw-Hill, New York, 1965.
24. Jeffrey, A. and Taniuti, T., Non-linear wave propagation: with applications to physics and magnetohydrodynamics, Academic Press, New York, 1964.
25. Myong, R. S. and Roe, P. L., "Shock Waves and Rarefaction Waves in Magnetohydrodynamics. Part 2. The MHD System," Journal of Plasma Physics, Vol. 58, 1997, pp. 521-552.
26. Gaitonde, D., "A high-order implicit procedure for the 3-D electric field in complex magnetogasdynamic simulations," Computers & Fluids, Vol. 33, 2004, pp. 345-374.
27. Powell, K. G., Roe, P. L., Linde, T. J., Gombosi, T. I., and Zeeuw, D. L. D., "A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics," Journal of Computational Physics, Vol. 154, 1999, pp. 284-309.
28. Toth, G., "The ∇ · B = 0 Constraint in Shock-Capturing Magnetohydrodynamics Codes," Journal of Computational Physics, Vol. 161, 2000, pp. 605-652.
29. Dedner, A., Kemm, F., Kroner, D., Munz, C.-D., Schnitzer, T., and Wesenberg, M., "Hyperbolic Divergence Cleaning for the MHD Equations," Journal of Computational Physics, Vol. 175, 2002, pp. 645-673.
30. Toth, G. and Roe, P. L., "Divergence and Curl-Preserving Prolongation and Restriction Formulas," Journal of Computational Physics, Vol. 180, 2002, pp. 736-750.
31. Londrillo, P. and Zanna, L. D., "On the divergence-free condition in Godunov-type schemes for ideal magnetohydrody-namics: the upwind constrained transport method," Journal of Computational Physics, Vol. 195, 2004, pp. 17-48.
32. Myong, R. S., "Analytical Results on MHD Intermediate Shocks," Geophysical Research Letters, Vol. 24, No. 22, 1997, pp. 2929-2932.
33. Torrilhon, M., "Non-uniform Convergence of Finite Volume Schemes for Riemann Problems of Ideal Magnetohydrody-namics," Journal of Computational Physics, Vol. 192, 2003, pp. 73-94.
34. Barmin, A. A., Kulikovskiy, A. G., and Pogorelov, N. V., "Shock-Capturing Approach and Nonevolutionary Solutions in Magnetohydrodynamics," Journal of Computational Physics, Vol. 126, 1996, pp. 77-90.