Numerical solution of the ideal magnetohydrodynamic equations for a supersonic channel flow

Journal of Thermophysics and Heat Transfer

Volumn 12, Issue 4, 1998, Pages 507-513

  Harada, Shigeki ^a,b   Hoffmann, Klaus A ^a,b   Augustinus, Justin ^a,b  

^a Wichita State University   (United States)

^b AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS;

TOTAL VARIATION DIMINISHING (TVD) MODELS;

SUPERSONIC FLOW;

EID: 0032179278     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/2.6397     Document Type: Article

References (14)

1. Godunov, S. K., "A Finite Difference Method for the Numerical Computations of Discontinuous Solutions of the Equations of Fluid Dynamics," Math. Sbornik., Vol. 47, 1959, pp. 271-306.
2. Roe, P. L., "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes," Journal of Computational Physics, Vol. 43, 1981, pp. 357-372.
3. Yee, H. C., "A Class of High-Resolution Explicit and Implicit Shock-Capturing Methods," NASA TM 101088, Feb. 1989.
4. Steger, J. L., and Warming, R. F., "Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite-Difference Methods," Journal of Computational Physics, Vol. 40, 1981, pp. 263-293.
5. Van Leer, B., "Flux Vector Splitting for the Euler Equations," Lecture Notes in Physics 170, 8th International Conference on Numerical Methods in Fluid Dynamics, 1982, pp. 501-512.
6. Lieu, M., and Steffen, J., Jr., "A New Flux Splitting Scheme," NASA TM 104404, May 1991.
7. Halt, D. W., and Agarwal, R. K., "A Novel Algorithm for the Solution of Complessible Euler Equations in Wave/Particle Split (WPS) Form," Proceedings of the 11th AIAA Computational Fluid Dynamics Conference (Orlando, FL), AIAA, Washington, DC, 1993.
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. Dai, W., and Woodward, P. R., "An Approximate Riemann Solver in Magnetohydrodynamics," Univ. of Minnesota Supercomputer Inst. Research, Rept. 91/329, Minneapolis, MN, Dec. 1991.
10. Dai, W., and Woodward, P. R., "Extension of the Piecewise Parabolic Method to Multidimensional Ideal Magnetohydrodynamics," Journal of Computational Physics, Vol. 115, 1994, pp. 485-514.
11. Dai, W., and Woodward, P. R., "A Simple Riemann Solver and High-Order Godunov Schemes for Hyperbolic Systems of Conservation Laws," Journal of Computational Physics, Vol. 121, 1995, pp. 51-65.
12. Zachary, A. L., and Colella, P., "A Higher-Order Godunov Method for the Equations of Ideal Magnetohydrodynamics," Journal of Computational Physics, Vol. 99, 1992, pp. 341-347.
13. Powell, K. G., "An Approximate Riemann Solver for Magneto-hydrodynamics (That Works in More Than One Dimension)," NASA CR 194902, Inst. for Computer Applications in Science and Engineering Rept. 94-24, April 1994.
14. Harada, S., Augustinus, J., Hoffmann, K. A., and Agarwal, R. K., "Development of a Modified Runge-Kutta Scheme with TVD Limiters for the Ideal 1-D MHD Equations," AIAA Paper 97-2090, June 1997.