Charge conservation in electromagnetic PIC codes; spectral comparison of Boris/DADI and Langdon-Marder methods

Mardahl, P.; Verboncoeur, John P.

doi:10.1016/s0010-4655(97)00094-5

Cited by 23 publications

(21 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For this type of problem a constrained transport approach should be taken. Charge conserving constrained transport is frequently used in particle in cell (PIC) codes [35], [36], [37]. In addition, ∇·B = 0 preserving constrained transport is frequently used in the MHD system [38], [39], [40], [41].…”

Section: )mentioning

confidence: 99%

A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

Loverich

Hakim

Shumlak

2011

Commun. comput. phys.

View full text Add to dashboard Cite

Abstract.A discontinuous Galerkin method for the ideal 5 moment two-fluid plasma system is presented. The method uses a second or third order discontinuous Galerkin spatial discretization and a third order TVD Runge-Kutta time stepping scheme. The method is benchmarked against an analytic solution of a dispersive electron acoustic square pulse as well as the two-fluid electromagnetic shock [1] and existing numerical solutions to the GEM challenge magnetic reconnection problem [2]. The algorithm can be generalized to arbitrary geometries and three dimensions. An approach to maintaining small gauge errors based on error propagation is suggested.

show abstract

Section: )mentioning

confidence: 99%

A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

Loverich

Hakim

Shumlak

2011

Commun. comput. phys.

View full text Add to dashboard Cite

show abstract

“…By combining equations (A1) and (A2), the Eq. (27) of [29] is obtained and is simplified for a MM configuration as follows:…”

Section: Appendixmentioning

confidence: 99%

A parametric study on the PD pulses activity within micro-cavities

Ganjovi

2015

J Theor Appl Phys

View full text Add to dashboard Cite

A two-dimensional kinetic model has been used to parametric investigation of the spark-type partial discharge pulses inside the micro-cavities. The model is based on particle-in-cell methods with Monte Carlo Collision techniques for modeling of collisions. Secondary processes like photo-emission and cathode-emission are considered. The micro-cavity may be sandwiched between two metallic conductors or two dielectrics. The discharge within the micro-cavity is studied in conjunction with the external circuit. The model is used to successfully simulate the evolution of the discharge and yield useful information about the build-up of space charge within the micro-cavity and the consequent modification of the applied electric field. The phase-space scatter plots for electrons, positive, and negative ions are obtained in order to understand the manner in which discharge progresses over time. The risetime and the magnitude of the discharge current pulse are obtained and are seen to be affected by micro-cavity dimensions, gas pressure within the micro-cavity, and the permittivity of surrounding dielectrics. The results have been compared with existing experimental, theoretical, and computational results, wherever possible. An attempt has been made to understand the nature of the variations in terms of the physical processes involved.

show abstract

“…Conventionally, this information transfer relies on spatial interpolations that often violate the charge continuity equation and, as a result, lead to spurious charge deposition on the lattice nodes. On regular lattices, this problem can be corrected, for example, using approaches that either subtract a static solution (charges) from the electric field solution (Boris/DADI correction) or directly subtract the residual error on the Gauss law (Langdon-Marder correction) at each time step [103]. On irregular lattices, additional degrees of freedom can be added as coupled elliptical constraints to produce a augmented Lagrange multiplier system [104].…”

Section: Appendix C: Implementation Of Space Charge Effectsmentioning

confidence: 99%