M. E. Cuneo, E. M. Waisman, S. V. Lebedev, J. P. Chittenden, W. A. Stygar, G. A. Chandler, R. A. Vesey, E. P. Yu, T. J. Nash, D. E. Bliss, G. S. Sarkisov, T. C. Wagoner, G. R. Bennett, D. B. Sinars, J. L. Porter, W. W. Simpson, L. E. Ruggles, D. F. Wenger, C. J. Garasi, B. V. Oliver, R. A. Aragon, W. E. Fowler, M. C. Hettrick, G. C. Idzorek, D. Johnson, K. Keller, S. E. Lazier, J. S. McGurn, T. A. Mehlhorn, T. Moore, D. S. Nielsen, J. Pyle, S. Speas, K. W. Struve and J. A. Torres, Characteristics and scaling of tungsten-wire-array z-pinch implosion dynamics at 20 MA, Phys. Rev. E 71 (2005), 046406.
[2] J. P. Chittenden, S. V. Lebedev, S. N. Bland, F. N. Beg and M. G. Haines, One-, two-, and three-dimensional modeling of the different phases of wire array Z-pinch evolution, Phys. Plasmas 8 (2001), 2305.
[3] C. J. Garasi, D. E. Bliss, T. A. Mehlhorn, B. V. Oliver, A. C. Robinson and G. S. Sarkisov, Multi-dimensional high energy density physics modeling and simulation of wire array Z-pinch physics, Phys. Plasmas 11 (2004), 2729.
[4] G. Tóth and D. OdstrÄil, Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems, J. Comput. Phys. 128 (1996), 82.
[5] D. Ryu, F. Miniati, T. W. Jones and A. Frank, A divergence-free upwind code for multidimensional magnetohydrodynamic flows, Astrophys. J. 509 (1998), 244-255.
[6] G. Tóth, The constraint in shock-capturing magnetohydrodynamics codes, J. Comput. Phys. 161 (2000), 605-652.
[7] C. R. Evans and J. F. Hawley, Simulation of magnetohydrodynamic flows: a constrained transport method, Astrophys. J. 332 (1988), 659-677.
[8] K. S. Yee, Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media, IEEE Trans. Antennas Propag. 14 (1966), 302-307.
[9] S. Jin and Z. P. Xin, The relaxation schemes for systems of conservation laws in arbitrary space dimensions, Comm. Pure Appl. Math. 48 (1995), 235-278.
[10] H. Trac and U.-L. Pen, A primer on Eulerian computational fluid dynamics for astrophysics, Publ. Astron. Soc. Pac. 115 (2003), 303-321.
[11] U.-L. Pen, P. Arras and S. Wong, A free, fast, simple, and efficient total variation diminishing magnetohydrodynamic code, Astrophys. J. Suppl. Ser. 149 (2003), 447-455. |