TY  - JOUR
AU  - Kirchen, Manuel
AU  - Maier, Andreas
AU  - Lehe, R.
AU  - Jalas, Soeren
AU  - Shapoval, O.
AU  - Vay, J.-L.
TI  - Scalable Spectral Solver in Galilean Coordinates for Eliminating the Numerical Cherenkov Instability in Particle-in-Cell Simulations of Streaming Plasmas
JO  - Physical review / E
VL  - 102
IS  - 1
SN  - 1063-651X
CY  - Woodbury, NY
PB  - Inst.
M1  - PUBDB-2020-02518
SP  - 013202
PY  - 2020
AB  - Discretizing Maxwell's equations in Galilean (comoving) coordinates allows the derivation of a pseudospectral solver that eliminates the numerical Cherenkov instability for electromagnetic particle-in-cell simulations of relativistic plasmas flowing at a uniform velocity. Here we generalize this solver by incorporating spatial derivatives of arbitrary order, thereby enabling efficient parallelization by domain decomposition. This allows scaling of the algorithm to many distributed compute units. We derive the numerical dispersion relation of the algorithm and present a comprehensive theoretical stability analysis. The method is applied to simulations of plasma acceleration in a Lorentz-boosted frame of reference.
LB  - PUB:(DE-HGF)16
C6  - pmid:32794957
UR  - <Go to ISI:>//WOS:000562953300002
DO  - DOI:10.1103/PhysRevE.102.013202
UR  - https://bib-pubdb1.desy.de/record/441485
ER  -