Short Note: A charge- and energy-conserving implicit, electrostatic particle-in-cell algorithm on mapped computational meshes

  • Authors:

  • L. ChacóN;G. Chen;D. C. Barnes

  • Affiliations:

  • Oak Ridge National Laboratory, Oak Ridge, TN 37830, United States;Oak Ridge National Laboratory, Oak Ridge, TN 37830, United States;Coronado Consulting, Lamy, NM 87540, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2013

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Abstract

We describe the extension of the recent charge- and energy-conserving one-dimensional electrostatic particle-in-cell algorithm in Ref. [G. Chen, L. Chacon, D.C. Barnes, An energy- and charge-conserving, implicit electrostatic particle-in-cell algorithm, Journal of Computational Physics 230 (2011) 7018-7036] to mapped (body-fitted) computational meshes. The approach maintains exact charge and energy conservation properties. Key to the algorithm is a hybrid push, where particle positions are updated in logical space, while velocities are updated in physical space. The effectiveness of the approach is demonstrated with a challenging numerical test case, the ion acoustic shock wave. The generalization of the approach to multiple dimensions is outlined.