• Open Access

Extension of the Finite Integration Technique including dynamic mesh refinement and its application to self-consistent beam dynamics simulations

Sascha M. Schnepp, Erion Gjonaj, and Thomas Weiland
Phys. Rev. ST Accel. Beams 15, 014401 – Published 20 January 2012

Abstract

An extension of the framework of the Finite Integration Technique (FIT) including dynamic and adaptive mesh refinement is presented. After recalling the standard formulation of the FIT, the proposed mesh adaptation procedure is described. Besides the linear interpolation approach, a novel interpolation technique based on specialized spline functions for approximating the discrete electromagnetic field solution during mesh adaptation is introduced. The standard FIT on a fixed mesh and the new adaptive approach are applied to a simulation test case with a known analytical solution. The numerical accuracy of the two methods is shown to be comparable. The dynamic mesh approach is, however, much more efficient. This is demonstrated with the full scale modeling of the complete rf gun at the Photo Injector Test Facility DESY Zeuthen (PITZ) on a single computer. Results of a detailed design study addressing the effects of individual components of the gun onto the beam emittance using a fully self-consistent approach are presented.

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  • Received 27 June 2011

DOI:https://doi.org/10.1103/PhysRevSTAB.15.014401

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Authors & Affiliations

Sascha M. Schnepp*

  • Graduate School of Computational Engineering, Technische Universität Darmstadt, Dolivostraße 15, 64293 Darmstadt, Germany

Erion Gjonaj and Thomas Weiland

  • Institut für Theorie Elektromagnetischer Felder, TEMF, Technische Universität Darmstadt, Schlossgartenstraße 8, 64289 Darmstadt, Germany

  • *Author to whom correspondence should be addressed. schnepp@gsc.tu-darmstadt.de
  • gjonaj@temf.tu-darmstadt.de
  • weiland@temf.tu-darmstadt.de

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Vol. 15, Iss. 1 — January 2012

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