Application of the space-time conservation element and solution element method to the ideal magnetohydrodynamic equations

38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit

Volumn , Issue , 2002, Pages

  Zhang, Moujin ^a   Henry Lin, S C ^a   John Yu, S T ^a   Chang, Sin Chung ^b   Blankson, Isaiah ^b  

^a Wayne State University   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL LOGIC; IDEAL MAGNETOHYDRODYNAMICS; NUMERICAL APPROACHES; NUMERICAL RESOLUTION; RECONSTRUCTION PROCEDURE; RIEMANN SOLVER; SPACE-TIME CONSERVATION ELEMENT; SPATIAL DIMENSION;

LOGIC PROGRAMMING; NUMERICAL METHODS; PROPULSION;

MAGNETOHYDRODYNAMICS;

EID: 84896866677     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. Brio, M., and Wu, C. C., "An Upwind Difference Scheme for the Equations of Ideal" Corizputatioiial Physics, vol. 75, 1988, pp. 400-422.
2. Sabkaran, K., Martinelli, L. and Choueiri, E. Y., "A Flux-Limited Numerical Method for the MHD Equations to Simulate Propulsive Plasma Flows, " AIAA paper 2000-2350, 2000.
3. Dai, W., and Woodward, P. R., "Extention of the Piecewise Parabolic Method to Multidimensional Ideal Magneto-hydro-dynamics, " Journal of Coiiiputational Physics, vol. 115, 1994, pp. 200-212.
4. Powell, K. G., "An approximate Riemann solver for magneto-hydro-dynamics, " ICASE Report 94-24, 1994.
5. Jiang, C.-S. and Wu, C. C., A High-Order WENO Finite Difference Scheme for the Equations of Ideal Magneto-hydro-dynamics, Joul-rial of Coriiputatioizal Physics, V01. 150, 1999, pp. 561-594.
6. Xu, K. "Gas Kinetic Theory Based Flux Splitting Method for Ideal Magneto-hydro-dynanucs, " Journal of Computational Physics, vol. 153, 1999, pp. 334-352.
7. Zachary, A. L., Malagoli, A. and Colella, P., A Higher-order Godunov method for multidimensional ideal SIAM J. Sci. Comput. Vo1. 15, 1994, pp. 263-280.
8. Chang, S. C. and To, W. M., "A New Numerical Framework for Solving Conservation Laws-The Method of Space-Time Conservation Element and Solution Element, " NASA TM 104498, 1991.
9. Chang, S. C., "The Method of Space-time Conservation Element and Solution Element-A New Approach for Solving the Navier-Stokes and the Euler Equations, " Journal of Computational Physics, vol. 119, 1995, pp. 295-324.
10. Chang, S. C., Wang, X. Y. and To, W. M., "Application of the Space-time Conservation Element and Solution Element Method to One-Dimensional Convection-Diffusion Problem, " Journal of Computational Physics, Vol. 165, 2000, pp. 189-2 15.
11. Wang, X. Y. and Chang, S. C., "A 2D Nonsplitting Unstructured Triangular Mesh Euler Solver Based on the Space-time Conservation Element and Solution Element Method. " Journal of Computatiorial Fluid Dynamics, Vo1. 8, 1999, pp. 309-325.
12. Zhang, Z. C., Yu, S. T. and Chang, S. C., "A Space-Time Conservation Element and Solution Element Method for Solving the Two-and Three-Dimensional Unsteady Euler Equations Using Quadrilateral and Hexahedral Meshes, " Journal of Computational Physics, Vol. 175, 2002, pp. 168-199.