Perfectly matched layers in a divergence preserving ADI scheme for electromagnetics

Journal Article · Sun Jan 01 00:00:00 EST 2012 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2011.08.016· OSTI ID:21592619

Kraus, C ^[1]; Adelmann, A ^[1]; Arbenz, P ^[2]

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1. Paul Scherrer Institut, WBGB/132, 5232 Villigen (Switzerland)
2. ETH Zurich, Chair of Computational Science, 8092 Zuerich (Switzerland)

For numerical simulations of highly relativistic and transversely accelerated charged particles including radiation fast algorithms are needed. While the radiation in particle accelerators has wavelengths in the order of 100 {mu}m the computational domain has dimensions roughly five orders of magnitude larger resulting in very large mesh sizes. The particles are confined to a small area of this domain only. To resolve the smallest scales close to the particles subgrids are envisioned. For reasons of stability the alternating direction implicit (ADI) scheme by Smithe et al. [D.N. Smithe, J.R. Cary, J.A. Carlsson, Divergence preservation in the ADI algorithms for electromagnetics, J. Comput. Phys. 228 (2009) 7289-7299] for Maxwell equations has been adopted. At the boundary of the domain absorbing boundary conditions have to be employed to prevent reflection of the radiation. In this paper we show how the divergence preserving ADI scheme has to be formulated in perfectly matched layers (PML) and compare the performance in several scenarios.

• OSTI ID: 21592619
• Journal Information: Journal of Computational Physics, Vol. 231, Issue 1; Other Information: DOI: 10.1016/j.jcp.2011.08.016; PII: S0021-9991(11)00503-1; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGORITHMS
BOUNDARY CONDITIONS
CHARGED PARTICLES
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
LAYERS
MATHEMATICAL MODELS
MAXWELL EQUATIONS
RELATIVISTIC RANGE
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
EVALUATION
MATHEMATICAL LOGIC
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION