Multigrid Algorithms for the Fast Calculation of Space-Charge Effects in Accelerator Design
| Autor: | U. van Rienen, B. van der Geer, M. de Loos, G. Poplau |
|---|---|
| Přispěvatelé: | Coherence and Quantum Technology |
| Rok vydání: | 2004 |
| Předmět: |
effect: space charge
accelerator space charge [effect] CPU time electron: particle source law.invention Multigrid method phase space [beam] law numerical methods particle source [RF system] Statistical physics Electrical and Electronic Engineering Maxwell equation particle source [electron] Physics space charge [programming] RF system: particle source beam: phase space Relaxation (iterative method) Particle accelerator Rest frame Accelerators and Storage Rings Electronic Optical and Magnetic Materials Computational physics Bunches Mesh generation Poisson's equation programming: space charge photoelectron |
| Zdroj: | IEEE Transactions on Magnetics, 40(2), 714-717. Institute of Electrical and Electronics Engineers TESLA Reports 2003 15 pp. (2003). doi:10.3204/PUBDB-2018-04265 |
| ISSN: | 0018-9464 |
| DOI: | 10.1109/tmag.2004.825415 |
| Popis: | TESLA Reports 2003 15 pp. (2003). Numerical prediction of the performance of charged particle accelera- tors is essential for the design and understanding of these machines. Meth- ods to calculate the self-fields of accelerated particles, the so-called space- charge forces, become increasingly important as the demand for high-quality bunches increases.We report on our development of a new 3D space-charge routine in the General Particle Tracer (GPT) code. It scales linearly with the number of particles in terms of CPU time, allowing detailed design studies with over a million sample particles on a normal PC. The model is based on a non- equidistant multigrid Poisson solver that has been constructed to solve the electrostatic fields in the rest frame of the bunch on meshes with large aspect ratio. Theoretical and numerical investigations of the behaviour of SOR re- laxation and PCG method on non-equidistant grids emphasize the advantages of the multigrid algorithm with adaptive coarsening.Numerical investigations have been performed with a selected range of cylindrically shaped bunches (from very long to very short) spanning a wide range of recent applications. The application to the simulation of the photoin- jector at the Eindhoven University of Technology demonstrates the power of the new 3D routine. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|