journal article Aug 01, 2014

Application of one-dimensional stagnation solutions to three-dimensional simulation of compact wire array in absence of radiation

View at Publisher Save 10.1063/1.4891844
Abstract
We investigate the stagnation phase of a three-dimensional (3D), magnetohydrodynamic simulation of a compact, tungsten wire-array Z pinch, under the simplifying assumption of negligible radiative loss. In particular, we address the ability of one-dimensional (1D) analytic theory to describe the time evolution of spatially averaged plasma properties from 3D simulation. The complex fluid flows exhibited in the stagnated plasma are beyond the scope of 1D theory and result in centrifugal force as well as enhanced thermal transport. Despite these complications, a 1D homogeneous (i.e., shockless) stagnation solution can capture the increase of on-axis density and pressure during the initial formation of stagnated plasma. Later, when the stagnated plasma expands outward into the imploding plasma, a 1D shock solution describes the decrease of on-axis density and pressure, as well as the growth of the shock accretion region.
Topics

No keywords indexed for this article. Browse by subject →

References
79
[1]
Phys. Plasmas (2004) 10.1063/1.1760093
[2]
IEEE Trans. Plasma Sci. (2006) 10.1109/tps.2006.883395
[3]
Phys. Rev. Lett. (2006) 10.1103/physrevlett.96.075003
[4]
Phys. Rev. Lett. (2000) 10.1103/physrevlett.84.3326
[5]
Phys. Plasmas (2000) 10.1063/1.874192
[6]
Phys. Plasmas (1998) 10.1063/1.873062
[7]
Plasma Phys. Controlled Fusion (2004) 10.1088/0741-3335/46/12b/039
[8]
Phys. Plasmas (2010) 10.1063/1.3474947
[9]
Phys. Rev. Lett. (2007) 10.1103/physrevlett.98.115001
[10]
Phys. Rev. Lett. (2008) 10.1103/physrevlett.100.145002
[11]
Phys. Rev. E. (2009) 10.1103/physreve.79.056404
[12]
Proc. Phys. Soc., London, Sect. B (1957) 10.1088/0370-1301/70/1/305
[13]
Nucl. Fusion (1978) 10.1088/0029-5515/18/6/008
[14]
Nucl. Fusion (1984) 10.1088/0029-5515/24/3/008
[15]
Dokl. Akad. Nauk SSSR (1957)
[16]
Phys. Fluids (1982) 10.1063/1.863787
[17]
Sov. J. Plasma Phys. (1984)
[18]
Sov. J. Plasma Phys. (1985)
[19]
Nucl. Fusion (1986) 10.1088/0029-5515/26/6/002
[20]
Phys. Fluids (1988) 10.1063/1.866912
[21]
Plasma Phys. Controlled Fusion (2012) 10.1088/0741-3335/54/5/055003
[22]
Plasma Phys. Controlled Fusion (2005) 10.1088/0741-3335/47/5a/009
[23]
Phys. Rev. E (2005) 10.1103/physreve.71.046406
[24]
Phys. Plasmas (2006) 10.1063/1.2177140
[25]
Phys. Plasmas (2005) 10.1063/1.1876272
[26]
J. Exp. Theor. Phys. (2003) 10.1134/1.1625064
[27]
Plasma Phys. Control. Fusion (2011) 10.1088/0741-3335/53/9/093001
[28]
Phys. Rev. Lett. (2011) 10.1103/physrevlett.107.105001
[29]
J. Appl. Phys. (1990) 10.1063/1.345642
[30]
J. Quant. Spectrosc. Radiat. Transf. (1990) 10.1016/0022-4073(90)90031-z
[31]
Phys. Plasmas (1994) 10.1063/1.870834
[32]
Phys. Rev. E (1994) 10.1103/physreve.50.2166
[33]
J. Quant. Spectrosc. Radiat. Transf. (2006) 10.1016/j.jqsrt.2005.05.027
[34]
AIP Conf. Proc. (1997)
[35]
Oreshkin "“Radiative MHD modeling of implosions of plasma liners,”"
[36]
Russ. Phys. J (1995) 10.1007/bf00559377
[37]
IEEE Trans. Plasma Sci. (2005) 10.1109/tps.2005.845304
[38]
IEEE Trans. Plasma Sci. (2014) 10.1109/tps.2013.2287180
[39]
Phys. Plasmas (2007) 10.1063/1.2435322
[40]
Phys. Plasmas (2007) 10.1063/1.2446177
[41]
Phys. Plasmas (2007) 10.1063/1.2710207
[42]
Phys. Rev. Lett. (2013) 10.1103/physrevlett.111.035001
[43]
Phys. Plasmas (2013) 10.1063/1.4792256
[44]
[45]
IEEE Trans. Plasma Sci. (2002) 10.1109/tps.2002.1024285
[46]
Laser Part. Beams (2003) 10.1017/s0263034603212143
[47]
Laser Phys. (2006) 10.1134/s1054660x06010178
[48]
Phys. Rev. Lett. (2005) 10.1103/physrevlett.95.105001
[49]
Phys. Plasmas (2006) 10.1063/1.2221660
[50]
Phys. Plasmas (2007) 10.1063/1.2436468

Showing 50 of 79 references

Metrics
10
Citations
79
References
Details
Published
Aug 01, 2014
Vol/Issue
21(8)
Funding
National Nuclear Security Administration Award: DE-AC04-94AL85000
Cite This Article
Edmund P. Yu, A. L. Velikovich, Y. Maron (2014). Application of one-dimensional stagnation solutions to three-dimensional simulation of compact wire array in absence of radiation. Physics of Plasmas, 21(8). https://doi.org/10.1063/1.4891844