Published March 27, 2012
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Geometric Integration Of The Valsov-Maxwell System With A Variational Particle-in-cell Scheme
Description
A fully variational, unstructured, electromagnetic particle-in-cell integrator is developed for integration of the Vlasov-Maxwell equations. Using the formalism of Discrete Exterior Calculus [1], the field solver, interpolation scheme and particle advance algorithm are derived through minimization of a single discrete field theory action. As a consequence of ensuring that the action is invariant under discrete electromagnetic gauge transformations, the integrator exactly conserves Gauss's law.
Availability note (English)
Also available from OSTI as DE01037451; PURL: https://www.osti.gov/servlets/purl/1037451/
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Additional details
Identifiers
Publishing Information
- Imprint Pagination
- 14 p.
- Report number
- PPPL--4748
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 43066692
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGORITHMS; BOLTZMANN-VLASOV EQUATION; GAUGE INVARIANCE; INTERPOLATION; MINIMIZATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; INVARIANCE PRINCIPLES; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Contract/Grant/Project number
- ACO2-09CH11466
- Notes
- Physical Review Letters (March 2012); doi 10.2172/1037451
- Funding organization
- USDOE Office of Science (United States)