A time-implicit numerical method and benchmarks for the relativistic Vlasov–Ampere equations
- 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.
- Research Organization:
- Univ. of Nebraska, Lincoln, NE (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Science Foundation (NSF)
- Grant/Contract Number:
- SC0008382; FG02-08ER55000; PHY-1104683
- OSTI ID:
- 1334790
- Alternate ID(s):
- OSTI ID: 1234172
- Journal Information:
- Physics of Plasmas, Vol. 23, Issue 1; ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Transition from convective to absolute Raman instability via the longitudinal relativistic effect by using Vlasov-Maxwell simulations
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journal | January 2018 |
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