Open AccessCerenkov-free RIP Maxwell solver: dispersionless along X
Author(s) -
A. Pukhov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1596/1/012053
Subject(s) - stencil , finite difference time domain method , solver , physics , maxwell's equations , domain decomposition methods , acceleration , computational physics , classical mechanics , optics , mathematics , finite element method , mathematical optimization , thermodynamics
A semi-implicit finite-difference time-domain (FDTD) numerical Maxwell solver is presented for full electromagnetic Particle-in-Cell (PIC) codes for the simulations of plasma-based acceleration. The solver projects the volumetric Yee lattice into planes transverse to a selected axis (the particle acceleration direction) that makes the scheme quasi-one-dimensional. The fields positions build rhombi in plane (RIP) patterns. The RIP scheme uses a compact local stencil that makes it perfectly suitable for massively parallel processing via domain decomposition along all three dimensions. No global/local spectral methods are involved. The scheme removes the numerical dispersion of electromagnetic waves running parallel to the selected axis. The scheme shows no numerical Cerenkov instability (NCI).