Beams Document 2056-v1

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Advances in self-consistent electromagnetic modeling

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Panagiotis Spentzouris
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Panagiotis Spentzouris
Document Created:
15 Dec 2005, 10:51
Contents Revised:
15 Dec 2005, 10:51
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15 Dec 2005, 10:56
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This talk will review some of the recent advances of
electromagnetic modeling with the inclusion of charged
particles, as is important for beam physics and plasma
physics. Important advances include methods for accurately
treating boundaries for accelerator cavities, beam pipes,
etc.; increasing the maximum stable time step; and
algorithms that work well on parallel architectures.
Higher-order algorithms with good properties are also of
interest. Early cut-cell approaches and current
finite-element methods fail to result in a symmetric linear
system and, as a result, can be weakly damped or unstable.
Finite-element methods also fail to parallelize well due to
the need for global matrix inversions. Finite-element
methods also have difficulties with the self-consistent
inclusion of charge particles due to the lack of a current
deposition method that that numerically conserves charge.
Later cut-cell approaches were shown to be symmetric, but
they suffered from a reduction of the stable time step. Now
available are cut-cell methods that can accurately model
curvilinear boundaries with no reduction in stable time
step. The use of these new algorithms in VORPAL,* a
flexible, object-oriented, massively parallel modeling
application, will be presented. VORPAL has been used for a
number of applications** involving the self-consistent
interaction of charged particles with electromagnetic
fields. Finally, we will discuss the needs for improvements
to self-consistent EM modeling.
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