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Hall interchange instability as a seed for helical magneto-Rayleigh–Taylor instabilities in magnetized liner inertial fusion Z-Pinches scaled from Z-Machine parameters to a next generation pulsed power facility

Physics of Plasmas

Woolstrum, Jeffrey M.; Ruiz, Daniel E.; Hamlin, Nathaniel D.; Beckwith, Kristian B.; Martin, Matthew

Magnetized liner inertial fusion (MagLIF) is a magneto-inertial-fusion concept that is studied on the 20-MA, 100-ns rise time Z Pulsed Power Facility at Sandia National Laboratories. Given the relative success of the platform, there is a wide interest in studying the scaled performance of this concept at a next-generation pulsed-power facility that may produce peak currents upward of 60 MA. An important aspect that requires more research is the instability dynamics of the imploding MagLIF liner, specifically how instabilities are initially seeded. It has been shown in magnetized 1-MA thin-foil liner Z-pinch implosion simulations that a Hall interchange instability (HII) effect can provide an independent seeding mechanism for helical magneto-Rayleigh–Taylor instabilities. Here in this paper, we explore this instability at higher peak currents for MagLIF using 2D discontinuous Galerkin PERSEUS simulations, an extended magneto-hydrodynamics code, which includes Hall physics. Our simulations of scaled MagLIF loads show that the growth rate of the HII is invariant to the peak current, suggesting that studies at 20-MA are directly relevant to 60-MA class machines.

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Electrostatic Relativistic Fluid Models of Electron Emission in a Warm Diode

IEEE Transactions on Plasma Science

Hamlin, Nathaniel D.; Smith, Thomas M.; Roberds, Nicholas R.; Laros, James H.; Beckwith, Kristian B.

A semianalytic fluid model has been developed for characterizing relativistic electron emission across a warm diode gap. We demonstrate the use of this model in: 1) verifying multifluid codes in modeling compressible relativistic electron flows (the EMPIRE-Fluid code is used as an example); 2) elucidating key physics mechanisms characterizing the influence of compressibility and relativistic injection speed of the electron flow; and 3) characterizing the regimes over which a fluid model recovers physically reasonable solutions.

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Electrostatic Relativistic Fluid Models of Electron Emission in a Warm Diode

IEEE International Conference on Plasma Science (ICOPS)

Hamlin, Nathaniel D.; Smith, Thomas M.; Roberds, Nicholas R.; Laros, James H.; Beckwith, Kristian B.

A semi-analytic fluid model has been developed for characterizing relativistic electron emission across a warm diode gap. Here we demonstrate the use of this model in (i) verifying multi-fluid codes in modeling compressible relativistic electron flows (the EMPIRE-Fluid code is used as an example; see also Ref. 1), (ii) elucidating key physics mechanisms characterizing the influence of compressibility and relativistic injection speed of the electron flow, and (iii) characterizing the regimes over which a fluid model recovers physically reasonable solutions.

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Towards Predictive Plasma Science and Engineering through Revolutionary Multi-Scale Algorithms and Models (Final Report)

Laity, George R.; Robinson, Allen C.; Cuneo, M.E.; Alam, Mary K.; Beckwith, Kristian B.; Bennett, Nichelle L.; Bettencourt, Matthew T.; Bond, Stephen D.; Cochrane, Kyle C.; Criscenti, Louise C.; Cyr, Eric C.; Laros, James H.; Drake, Richard R.; Evstatiev, Evstati G.; Fierro, Andrew S.; Gardiner, Thomas A.; Laros, James H.; Goeke, Ronald S.; Hamlin, Nathaniel D.; Hooper, Russell H.; Koski, Jason K.; Lane, James M.; Larson, Steven R.; Leung, Kevin L.; McGregor, Duncan A.; Miller, Philip R.; Miller, Sean M.; Ossareh, Susan J.; Phillips, Edward G.; Simpson, Sean S.; Sirajuddin, David S.; Smith, Thomas M.; Swan, Matthew S.; Thompson, Aidan P.; Tranchida, Julien G.; Bortz-Johnson, Asa J.; Welch, Dale R.; Russell, Alex M.; Watson, Eric D.; Rose, David V.; McBride, Ryan D.

This report describes the high-level accomplishments from the Plasma Science and Engineering Grand Challenge LDRD at Sandia National Laboratories. The Laboratory has a need to demonstrate predictive capabilities to model plasma phenomena in order to rapidly accelerate engineering development in several mission areas. The purpose of this Grand Challenge LDRD was to advance the fundamental models, methods, and algorithms along with supporting electrode science foundation to enable a revolutionary shift towards predictive plasma engineering design principles. This project integrated the SNL knowledge base in computer science, plasma physics, materials science, applied mathematics, and relevant application engineering to establish new cross-laboratory collaborations on these topics. As an initial exemplar, this project focused efforts on improving multi-scale modeling capabilities that are utilized to predict the electrical power delivery on large-scale pulsed power accelerators. Specifically, this LDRD was structured into three primary research thrusts that, when integrated, enable complex simulations of these devices: (1) the exploration of multi-scale models describing the desorption of contaminants from pulsed power electrodes, (2) the development of improved algorithms and code technologies to treat the multi-physics phenomena required to predict device performance, and (3) the creation of a rigorous verification and validation infrastructure to evaluate the codes and models across a range of challenge problems. These components were integrated into initial demonstrations of the largest simulations of multi-level vacuum power flow completed to-date, executed on the leading HPC computing machines available in the NNSA complex today. These preliminary studies indicate relevant pulsed power engineering design simulations can now be completed in (of order) several days, a significant improvement over pre-LDRD levels of performance.

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Power Flow in Pulsed-Power Systems: The Influence of Hall Physics and Modeling of the Plasma-Vacuum Interface

IEEE Transactions on Plasma Science

Hamlin, Nathaniel D.; Seyler, Charles E.

Extended-MHD simulations of power flow along a pulsed-power transmission line are performed in a 2-D axisymmetric geometry, in particular looking at the influence of Hall physics for a transmission line coupled to the liner used in a magnetized liner inertial fusion experiment at Sandia National Labs. It was recently shown by the authors that, for a coaxial transmission line, when Hall physics is included, significantly more blow-off occurs from plasma initialized against the anode compared to the cathode. The mechanism of this blow-off was traced to electron {text{E}}× {text{B}} drift modeled by the Hall term. This result is also observed for the present simulations, and it is shown that the anode blow-off significantly delays the coupling of current to the liner. It is also found that Hall MHD and MHD results are sensitive to the treatment of density floors and the plasma-vacuum interface. Although MHD shows more sensitivity than Hall MHD, correct modeling of the transition from plasma to vacuum remains an unsolved problem that must be addressed in order to improve the predictive capability of fluid-based power flow simulations with regard to energy coupling.

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25 Results
25 Results