Relaxation model for extended magnetohydrodynamics: Comparison to magnetohydrodynamics for dense Z-pinches

Seyler, C. E.; Martin, Matthew

doi:10.1063/1.3543799

Cited by 67 publications

(35 citation statements)

References 19 publications

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“…The details of this PHYSICS OF PLASMAS 22, 072102 (2015) method can be found in the paper by Zhao et al 36 The semiimplicit relaxation finite volume scheme of Seyler and Martin 23,30 allows a time advance on the MHD time scale. The improved spatial resolution of the DG spatial discretization, which uses a positivity preserving limiter to keep the densities and the pressures positive while retaining full second order accuracy, greatly minimizes numerical diffusion and produces the high resolution results in this paper.…”

Section: Methodsmentioning

confidence: 99%

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Computational extended magneto-hydrodynamical study of shock structure generated by flows past an obstacle

Zhao¹,

Seyler

2015

Physics of Plasmas

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The magnetized shock problem is studied in the context where supersonic plasma flows past a solid obstacle. This problem exhibits interesting and important phenomena such as a bow shock, magnetotail formation, reconnection, and plasmoid formation. This study is carried out using a discontinuous Galerkin method to solve an extended magneto-hydrodynamic model (XMHD). The main goals of this paper are to present a reasonably complete picture of the properties of this interaction using the MHD model and then to compare the results to the XMHD model. The inflow parameters, such as the magnetosonic Mach number Mf and the ratio of thermal pressure to magnetic pressure β, can significantly affect the physical structures of the flow-obstacle interaction. The Hall effect can also significantly influence the results in the regime in which the ion inertial length is numerically resolved. Most of the results presented are for the two-dimensional case; however, two three-dimensional simulations are presented to make a connection to the important case in which the solar wind interacts with a solid body and to explore the possibility of performing scaled laboratory experiments.

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Section: Methodsmentioning

confidence: 99%

“…There are a number of possible variations of an XMHD model, but they all have in common a center of mass momentum equation and a GOL. 7,12,14,16,23,[29][30][31][32] The model used in this paper is as follows: @ t q þ r Á ðquÞ ¼ 0;…”

Section: Extended-mhd Modelmentioning

confidence: 99%

Computational extended magneto-hydrodynamical study of shock structure generated by flows past an obstacle

Zhao¹,

Seyler

2015

Physics of Plasmas

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“…The PERSEUS XMHD code utilizes the Generalized Ohm's Law (GOL) [1], Eq. 3, to self-consistently determine the time evolution of the current together with Maxwell's equations and the conservation equations for mass, momentum, and energy.…”

Section: Jet Developmentmentioning

confidence: 99%

“…We experimentally observe dynamics of plasma jets under a change of current polarities, with and without an applied uniform external magnetic field. Experimental results are compared with the extended (X) magnetohydrodynamics (MHD) code, PERSEUS [1]. The Hall effect, dominant in the region of lower density background plasma [2], affects jet dynamics and magnetic field compression within the jet.…”

Section: Introductionmentioning

confidence: 99%

Plasma jets subject to adjustable current polarities and external magnetic fields

Byvank¹,

Schrafel²,

Gourdain³

et al. 2014

AIP Conference Proceedings

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“…Since the simulations were two dimensional simulations, concerns were raised about three-dimensional instabilities. The present work explores their impact using PERSEUS 10 …”

Section: Introductionmentioning

confidence: 99%

The impact of three dimensional MHD instabilities on the generation of warm dense matter using a MA-class linear transformer driver

Gourdain

Seyler

2017

High Energy Density Physics

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Warm dense matter is difficult to generate since it corresponds to a state of matter which pressure is order of magnitude larger than can be handled by natural materials. A diamond anvil can be used to pressurize matter up to one Gbar, this matter is at high density but at room temperature.High power lasers and heavy ion beams can generate warm dense matter but they cannot confine it long enough to allow measurements of quasi-static transport coefficients such as viscosity or heat conduction. We present here a third method to generate warm dense matter. It uses a pulsed-power driver which current rise time is substantially shortened by using a plasma opening switch, limiting the development of electrothermal instabilities. The switch relies on the implosion of a gas puff Z-pinch which carries most of the discharge current until the pinch reaches the sample. After that, the sample is compressed until it reaches the warm dense matter regime.Three-dimensional magnetohydrodynamics computations show that if the density of the gas is low enough no detectable instabilities (e.g. kinks and sausages modes) impede the remainder of the implosion.

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Relaxation model for extended magnetohydrodynamics: Comparison to magnetohydrodynamics for dense Z-pinches

Cited by 67 publications

References 19 publications

Computational extended magneto-hydrodynamical study of shock structure generated by flows past an obstacle

Computational extended magneto-hydrodynamical study of shock structure generated by flows past an obstacle

Plasma jets subject to adjustable current polarities and external magnetic fields

The impact of three dimensional MHD instabilities on the generation of warm dense matter using a MA-class linear transformer driver

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