Computational Plasma Lab

Publications

Papers, posters, reports, and other publications produced by the people (past and present) of this laboratory. Conference products are listed after other documents for the given year.

2012

  • E.T. Meier, A.H. Glasser, V.S. Lukin, and U. Shumlak, "Modeling open boundaries in dissipative MHD simulation," Journal of Computational Physics 231 (7), 2963 (2012).

2011

  • U. Shumlak, R. Lilly, N. Reddell, E. Sousa, and B. Srinivasan, "Advanced physics calculations using a multi-fluid plasma model," Computer Physics Communications 182, 0010-4655 (2011).
  • B. Srinivasan and U. Shumlak, "Analytical and computational study of the ideal full two-fluid plasma model and asymptotic approximations for Hall-MHD," Physics of Plasmas 18 (9), 092113 (2011).
  • J. Loverich, A. Hakim, and U. Shumlak, "A discontinuous Galerkin method for ideal two-fluid plasma equations," Communications in Computational Physics 9, 240 (2011).
  • W. Lowrie, V.S. Lukin, and U. Shumlak, "A priori mesh quality metric error analysis applied to a high-order finite element method," Journal of Computational Physics 230 (14), 5564 (2011).
  • B. Srinivasan, A. Hakim, and U. Shumlak, "Numerical methods for two-fluid dispersive fast MHD phenomena," Communications in Computational Physics 10, 183 (2011).
  • Eric Meier, Alan Glasser, Vyacheslav Lukin, and Uri Shumlak, "Open boundary conditions for dissipative MHD," Fifty-Third Annual American Physical Society Meeting of the Division of Plasma Physics, Salt Lake City, Utah, November 2011.
  • Robert Lilly and Uri Shumlak, "Multidimensional Plasma Sheath Modeling Using The Three Fluid Plasma Model," Fifty-Third Annual American Physical Society Meeting of the Division of Plasma Physics, Salt Lake City, Utah, November 2011. Poster
  • Eder Sousa, Uri Shumlak, and Guang Lin, "Lacuna-based Artificial Boundary Condition And Uncertainty Quantification of the Two-Fluid Plasma Model," Fifty-Third Annual American Physical Society Meeting of the Division of Plasma Physics, Salt Lake City, Utah, November 2011. Poster
  • W. Lowrie, U. Shumlak, A.H. Glasser, and V.S. Lukin, "Multi-Block Development and Application to a Shear Flow Z-Pinch Kink Mode Stabilization," Fifty-Third Annual American Physical Society Meeting of the Division of Plasma Physics, Salt Lake City, Utah, November 2011.
  • Brian A. Nelson, A.H. Glasser, T.R. Jarboe, C.C. Kim, G.J. Marklin, W. Lowrie, E.T. Meier, R.D. Milroy, U. Shumlak, C.R. Sovinec, J.B. O'Bryan, E. Held, J.-Y. Ji, and V.S. Lukin, "Simulations of ICC Experiments by the PSI-Center," Fifty-Third Annual American Physical Society Meeting of the Division of Plasma Physics, Salt Lake City, Utah, November 2011.
  • Noah Reddell, Uri Shumlak, and Guoyong Fu, “Framework for advanced plasma simulations on many-core architectures and results,” Fifty-Third Annual American Physical Society Meeting of the Division of Plasma Physics, Salt Lake City, Utah, November 2011.
  • S. Gilliam, " A 13-Moment Two-Fluid Plasma Physics Model Based on a Pearson Type-IV Distribution Function"

2010

  • E. T. Meier, V. S. Lukin, and U. Shumlak, "Spectral element spatial discretization error in solving highly anisotropic heat conduction equation," Computer Physics Communications 181, 837 (2010).
  • N. Reddell, R. Lilly, U. Shumlak, E. Sousa, and B. Srinivasan, "Computational Algorithm for the Multi-Fluid Plasma Model - WARPX," Fifty-Second Annual American Physical Society Meeting of the Division of Plasma Physics, Chicago, Illinois, November 2010.
  • R. Lilly and U. Shumlak, "Plasma Sheath Modeling Using The Three Fluid Plasma Model," Fifty-Second Annual American Physical Society Meeting of the Division of Plasma Physics, Chicago, Illinois, November 2010.
  • E.T. Meier, A.H. Glasser, V.S. Lukin, and U. Shumlak, "Lacunae-based open boundary conditions for dissipative MHD," Fifty-Second Annual American Physical Society Meeting of the Division of Plasma Physics, Chicago, Illinois, November 2010.
  • W. Lowrie, U. Shumlak, V.S. Lukin, and A.H. Glasser, "Multi-Block Development and Applications of HiFi," Fifty-Second Annual American Physical Society Meeting of the Division of Plasma Physics, Chicago, Illinois, November 2010.
  • B.A. Nelson, A.H. Glasser, T.R. Jarboe, C.C. Kim, G.J. Marklin, W. Lowrie, E.T. Meier, R.D. Milroy, U. Shumlak, C.R. Sovinec, J.B. O’Bryan, E. Held, J.-Y. Ji, and V.S. Lukin, "Recent Results of ICC Experiment Simulations by the PSI-Center," Fifty-Second Annual American Physical Society Meeting of the Division of Plasma Physics, Chicago, Illinois, November 2010.
  • B. Srinivasan, G.L. Delzanno, X. Tang, and U. Shumlak, "Applications of the Two-Fluid Plasma Model to Simulate Instabilities with and without Background Magnetic Fields," Fifty-Second Annual American Physical Society Meeting of the Division of Plasma Physics, Chicago, Illinois, November 2010.
  • U. Shumlak, R. Lilly, E. Meier, N. Reddell, E. Sousa, and B. Srinivasan, "Advanced Physics Calculations using a Multi-Fluid Plasma Model," Conference on Computational Physics, Trondheim, Norway, June 2010.

2009

  • B. Srinivasan and U. Shumlak, "A Study of 3-Dimensional Plasma Configurations using the Two-Fluid Plasma Model," Thirty-Sixth IEEE International Conference on Plasma Science, San Diego, California, June 2009. Poster
  • B. Srinivasan and U. Shumlak, "Implicit Time-Integration Schemes for Finite Element Two-Fluid Code," Fifty-First Annual American Physical Society Meeting of the Division of Plasma Physics, Atlanta, Georgia, November 2009. Poster

  • A. Susanto, "Development of Electromagnetic Solvers for Use with the Two-Fluid Plasma Algorithm"

2008

  • B. Srinivasan, U. Shumlak, and A. Hakim, "Comparison and Applications of Two-Fluid Plasma Algorithms," Thirty Ninth American Institute of Aeronautics & Astronautics Plasmadynamics and Lasers Conference, Seattle, Washington, June 2008. AIAA2008-3787
  • B. Srinivasan and U. Shumlak, "Comparison of Two-Fluid Plasma Models," High Performance Computing Users Group Conference, Seattle, Washington, July 2008. Paper
  • B. Srinivasan and U. Shumlak, "A Comparison between the Two-Fluid Plasma Model and Hall-MHD for Captured Physics and Computational Effort," Fiftieth Annual American Physical Society Meeting of the Division of Plasma Physics, Dallas, Texas, November 2008. Poster

2007

  • A. Hakim and U. Shumlak, "Two-Fluid Physics and Field-Reversed Configurations," Physics of Plasmas 14, 055911 (2007).
    Abstract. In this paper, algorithms for the solution of two-fluid plasma equations are presented and applied to the study of field-reversed configurations (FRCs). The two-fluid model is more general than the often used magnetohydrodynamic (MHD) model. The model takes into account electron inertia, charge separation, and the full electromagnetic field equations, and it allows for separate electron and ion motion. The algorithm presented is the high-resolution wave propagation scheme. The wave propagation method is based on solutions to the Riemann problem at cell interfaces. Operator splitting is used to incorporate the Lorentz and electromagnetic source terms. The algorithms are benchmarked against the Geospace Environmental Modeling Reconnection Challenge problem. Equilibrium of FRC is studied. It is shown that starting from a MHD equilibrium produces a relaxed two-fluid equilibrium with strong flows at the FRC edges due to diamagnetic drift. The azimuthal electron flow causes lower-hybrid drift instabilities (LHDI), which can be captured if the ion gyroradius is well resolved. The LHDI is known to be a possible source of anomalous resistivity in many plasma configurations. LHDI simulations are performed in slab geometries and are compared to recent experimental results.
  • B. Srinivasan and U. Shumlak, "Applying Asymptotic Approximations to the Full Two-Fluid Plasma System to Study Reduced Fluid Models," Thirty-Fourth Annual IEEE International Conference on Plasma Sciences, Albuquerque, New Mexico, June 2007. Poster
  • B. Srinivasan and U. Shumlak, "Comparing Reduced Fluid Models to the Full Two-Fluid Plasma System," Forty-Ninth Annual American Physical Society Meeting of the Division of Plasma Physics, Orlando, Florida, November 2007. Poster

2006

  • J. Loverich and U. Shumlak, "Non-Linear Two-Fluid Study of m=0 Sausage Instabilities in an Axisymmetric Z-Pinch," Physics of Plasmas 13, 082310 (2006).
    Abstract. A nonlinear full five-moment two-fluid model is used to study axisymmetric instabilities in a Z pinch. When the electron velocity due to the current J is greater than the ion acoustic speed, high wave-number sausage instabilities develop that initiate shock waves in the ion fluid. This condition corresponds to a pinch radius on the order of a few ion Larmor radii.
  • A. Hakim, J. Loverich, and U. Shumlak, "High Resolution Wave Propagation Scheme for Ideal Two-Fluid Plasma Equations," Journal of Computational Physics 219 (1), 418-442 (2006).
    Abstract. Algorithms for the solution of the five-moment ideal Two-Fluid equations are presented. The ideal Two-Fluid model is more general than the often used magnetohydrodynamic (MHD) model. The model takes into account electron inertia effects, charge separation and the full electromagnetic field equations and allows for separate electron and ion motion. The algorithm presented is the high resolution wave propagation method. The wave propagation method is based on solutions to the Riemann problem at cell interfaces. Operator splitting is used to incorporate the Lorentz and electromagnetic source terms. To preserve the divergence constraints on the electric and magnetic fields two different approaches are used. In the first approach Maxwell equations are rewritten in their mixed-potential form. In the second approach the so-called perfectly hyperbolic form of Maxwell equations are used which explicitly incorporate the divergence equations into the time stepping scheme. The algorithm is applied to a one-dimensional Riemann problem, ion-acoustic soliton propagation and magnetic reconnection. In each case Two-Fluid physics described by the ideal Two-Fluid model is highlighted.
  • A. Hakim, "High Resolution Wave Propagation Schemes for Two-Fluid Plasma Simulations" PhD Dissertation
  • R. C. Lilly, "Study on the Flow-Through Z-Pinch Fusion Concept" MS Thesis

2005

  • J. Loverich and U. Shumlak, "A Discontinuous Galerkin Method for the Full Two-Fluid Plasma Model," Computer Physics Communications 169 (3), 251 (2005).
    Abstract. A discontinuous Galerkin method for the full two-fluid plasma model is described. The plasma model includes complete electron and ion fluids, which allows charge separation, separate electron and ion temperatures and velocities. Complete Maxwell's equations are used including displacement current. The algorithm is validated by benchmarking against existing plasma algorithms on the GEM Challenge magnetic reconnection problem. The algorithm can be easily extended to three dimensions, higher order accuracy, general geometries and parallel platforms.
  • J. Loverich and U. Shumlak, "The Discontinuous Galerkin Method for Simulation of Plasma Dynamics: The Full Two-Fluid System," Forty-Seventh Annual American Physical Society Meeting of the Division of Plasma Physics, Denver, Colorado, November 2005.
  • A. Hakim and U. Shumlak, "A High Resolution Wave Propagation Scheme for Two-Fluid Plasma Equations with applications to Field Reversed Configurations," Forty-Seventh Annual American Physical Society Meeting of the Division of Plasma Physics, Denver, Colorado, November 2005.
  • S. Vadlamani, G. Marklin, U. Shumlak, T. Jarboe, and R. Lionello, "Development of MH4D for Simulation of Emerging Concept Fusion Experiments," Forty-Seventh Annual American Physical Society Meeting of the Division of Plasma Physics, Denver, Colorado, November 2005.
  • T.R. Jarboe, C.C. Kim, G. Marklin, A.I.D. Macnab, R.D. Milroy, B.A. Nelson, U. Shumlak, S. Vadlamani, S. Woodruff, R.A. Bayliss, C.R. Sovinec, E. Held, and J-Y. Ji, "Overview of The Plasma Science and Innovation Center (PSI-Center)," Forty-Seventh Annual American Physical Society Meeting of the Division of Plasma Physics, Denver, Colorado, November 2005.
  • J. Loverich, "A Discontinuous Galerkin Method for the Two-Fluid Plasma System and Its Application to the Z-Pinch" PhD Dissertation
  • B. Srinivasan, "A Comparison between the Discontinuous Galerkin Algorithm and the High Resolution Wave Propagation Algorithm for the Full Two-Fluid Plasma Model" MS Thesis

2004

  • U. Shumlak, C. Aberle, A. Hakim, and J. Loverich, "Plasma Simulation Algorithm for the Two-Fluid Plasma Model," European Physical Society /American Physical Society Conference on Computational Physics, Division of Computational Physics, Genoa, Italy, September 2004. Poster
  • J. J. Loverich and U. Shumlak, "A Discontinuous Galerkin Method for the Full Two-Fluid Plasma Model," European Physical Society /American Physical Society Conference on Computational Physics, Division of Computational Physics, Genoa, Italy, September 2004. Poster
  • A. Hakim, U. Shumlak, and J. Loverich, "A High Resolution Scheme for Multi-Dimensional Two-Fluid Plasma Equations," Forty-Sixth Annual American Physical Society Meeting of the Division of Plasma Physics, Savannah, Georgia, November 2004. Poster
  • C. Aberle, "Algorithm for Solving Colocated Electromagnetic Fields with Sources" MS Thesis

2003

  • U. Shumlak and J. Loverich, "Approximate Riemann Solver for the Two-Fluid Plasma Model," Journal of Computational Physics 187 (2), 620 (2003).
    Abstract. An algorithm is presented for the simulation of plasma dynamics using the two-fluid plasma model. The two-fluid plasma model is more general than the magnetohydrodynamic (MHD) model often used for plasma dynamic simulations. The two-fluid equations are derived in divergence form and an approximate Riemann solver is developed to compute the fluxes of the electron and ion fluids at the computational cell interfaces and an upwind characteristic-based solver to compute the electromagnetic fields. The source terms that couple the fluids and fields are treated implicitly to relax the stiffness. The algorithm is validated with the coplanar Riemann problem, Langmuir plasma oscillations, and the electromagnetic shock problem that has been simulated with the MHD plasma model. A numerical dispersion relation is also presented that demonstrates agreement with analytical plasma waves.
  • J. Loverich, U. Shumlak, C. Aberle, and A. Hakim, "A Finite Volume Algorithm for the Two-Fluid Plasma System," Sixteenth American Institute of Aeronautics & Astronautics Computational Fluid Dynamics Conference, Orlando, Florida, June 2003. AIAA2003-4238
  • A. Hakim, U. Shumlak, C. Aberle, and J. Loverich, "Maxwell Equation Solver for Plasma Simulations Based on a Mixed Potential Formulation," Sixteenth American Institute of Aeronautics & Astronautics Computational Fluid Dynamics Conference, Orlando, Florida, June 2003. AIAA2003-3829
  • J. Loverich, "A Finite Volume Algorithm for the Two-fluid Plasma System in One Dimension" MS Thesis

2002

  • J. J. Loverich and U. Shumlak, "A Finite Volume Scheme for the Two-Fluid Plasma System," Twenty-Ninth Annual IEEE International Conference on Plasma Sciences, Banff, Alberta, Canada, May 2002. Poster
  • U. Shumlak, C. S. Aberle, A. Hakim, and J. J. Loverich, "Plasma Simulation Algorithm for the Two-Fluid Plasma Model," American Physical Society Meeting of the Division of Computational Physics, San Diego, California, August 2002. Poster
  • C. S. Aberle, A. Hakim, and U. Shumlak, "Development of a Maxwell Equation Solver for Application to Two-Fluid Plasma Models," American Physical Society Meeting of the Division of Computational Physics, San Diego, California, August 2002. Poster

2001

  • U. Shumlak and B. Udrea, "An Approximate Riemann Solver for MHD Computations on Parallel Architectures," Fifteenth American Institute of Aeronautics & Astronautics Computational Fluid Dynamics Conference, Anaheim, California, June 2001. AIAA2001-2591
  • C. Aberle and U. Shumlak, "Application of Analytical Methods to Computing Numerical Flux Jacobians," Fifteenth American Institute of Aeronautics & Astronautics Computational Fluid Dynamics Conference, Anaheim, California, June 2001. AIAA2001-2610

2000

  • W. Vuillemot, U. Shumlak, "Multi-Temperature, Thermal & Ion Fraction Effects over Wedge and Bluff Body Shapes in Hypervelocity Flow" Twenty-Seventh Annual IEEE International Conference on Plasma Sciences, June 2000. Poster

1999

  • W.W. Vuillemot and U. Shumlak, "Plasma Effects on Hypersonic Flows," Forty-First Annual American Physical Society Meeting of the Division of Plasma Physics, Seattle, Washington, November 1999.
  • B. Udrea, "An Advanced Implicit Solver for MHD" PhD Dissertation

1998

1997