Method of Lines Transpose an Implicit Vlasov Maxwell Solver for Plasmas

Abstract

We propose a new particle-in-cell (PIC) method for the simulation of plasmas based on a recently developed, unconditionally stable solver for the wave equation. This method is not subject to a CFL restriction, limiting the ratio of the time step size to the spatial step size, typical of explicit methods, while maintaining computational cost and code complexity comparable to such explicit schemes. We describe the implementation in one and two dimensions for both electrostatic and electromagnetic cases, and present the results of several standard test problems, showing good agreement with theory with time step sizes much larger than allowed by typical CFL restrictions.

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Document Details

Document Type
Technical Report
Publication Date
Apr 17, 2015
Accession Number
ADA627056

Entities

People

  • Andrew Christlieb

Organizations

  • Michigan State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Charged Particles
  • Computational Science
  • Convolution Integrals
  • Current Density
  • Differential Equations
  • Dispersion Relations
  • Electric Fields
  • Electromagnetic Fields
  • Electrons
  • Equations
  • Helmholtz Equations
  • Magnetic Fields
  • Partial Differential Equations
  • Poisson Equation
  • Simulations
  • Two Dimensional
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics