A time-implicit numerical method and benchmarks for the relativistic Vlasov–Ampere equations

Carrie, Michael; Shadwick, B. A.

doi:10.1063/1.4938035

A time-implicit numerical method and benchmarks for the relativistic Vlasov–Ampere equations

Journal Article · Mon Jan 04 00:00:00 EST 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4938035· OSTI ID:1334790

Carrie, Michael ^[1]; Shadwick, B. A. ^[2]

Univ. of Nebraska-Lincoln, Lincoln, NE (United States); University of Nebraska - Lincoln
Univ. of Nebraska-Lincoln, Lincoln, NE (United States)

Here, we present a time-implicit numerical method to solve the relativistic Vlasov–Ampere system of equations on a two dimensional phase space grid. The time-splitting algorithm we use allows the generalization of the work presented here to higher dimensions keeping the linear aspect of the resulting discrete set of equations. The implicit method is benchmarked against linear theory results for the relativistic Landau damping for which analytical expressions using the Maxwell-Juttner distribution function are derived. We note that, independently from the shape of the distribution function, the relativistic treatment features collective behaviors that do not exist in the non relativistic case. The numerical study of the relativistic two-stream instability completes the set of benchmarking tests.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Nebraska-Lincoln, Lincoln, NE (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: FG02-08ER55000; SC0008382

OSTI ID:: 1334790

Alternate ID(s):: OSTI ID: 1234172
OSTI ID: 22493802

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 23; ISSN PHPAEN; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY
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A time-implicit numerical method and benchmarks for the relativistic Vlasov–Ampere equations

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References (39)

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