Higher-order particle representation for particle-in-cell simulations
| Autor: | Satheesh Maheswaran, John P. Jones, Dominic A.S. Brown, Steven A. Wright, Stephen A. Jarvis, Matthew Tyler Bettencourt |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Numerical Analysis Physics and Astronomy (miscellaneous) Applied Mathematics Mathematical analysis Virtual particle 010103 numerical & computational mathematics Radius Electron 01 natural sciences Electromagnetic radiation QA76 Computer Science Applications 010101 applied mathematics Computational Mathematics symbols.namesake Modeling and Simulation symbols Orbit (dynamics) Periodic boundary conditions Gaussian quadrature Particle 0101 mathematics QC |
| Zdroj: | Journal of Computational Physics. 435:110255 |
| ISSN: | 0021-9991 |
| Popis: | In this paper we present an alternative approach to the representation of simulation particles for unstructured electrostatic and electromagnetic PIC simulations. In our modified PIC algorithm we represent particles as having a smooth shape function limited by some specified finite radius, r 0 . A unique feature of our approach is the representation of this shape by surrounding simulation particles with a set of virtual particles with delta shape, with fixed offsets and weights derived from Gaussian quadrature rules and the value of r 0 . As the virtual particles are purely computational, they provide the additional benefit of increasing the arithmetic intensity of traditionally memory bound particle kernels. The modified algorithm is implemented within Sandia National Laboratories' unstructured EMPIRE-PIC code, for electrostatic and electromagnetic simulations, using periodic boundary conditions. We show results for a representative set of benchmark problems, including electron orbit, a transverse electromagnetic wave propagating through a plasma, numerical heating, and a plasma slab expansion. Good error reduction across all of the chosen problems is achieved as the particles are made progressively smoother, with the optimal particle radius appearing to be problem-dependent. |
| Databáze: | OpenAIRE |
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