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Title: An Interpolative Particle Level Set Method.


Abstract not provided.

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Publication Date:
Research Org.:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
Report Number(s):
DOE Contract Number:
Resource Type:
Resource Relation:
Conference: Proposed for presentation at the SIAM Annual Meeting held July 11-15, 2016 in Boston, MA.
Country of Publication:
United States

Citation Formats

Erickson, Lindsay Crowl, Templeton, Jeremy Alan, and Morris, Karla Vanessa. An Interpolative Particle Level Set Method.. United States: N. p., 2016. Web.
Erickson, Lindsay Crowl, Templeton, Jeremy Alan, & Morris, Karla Vanessa. An Interpolative Particle Level Set Method.. United States.
Erickson, Lindsay Crowl, Templeton, Jeremy Alan, and Morris, Karla Vanessa. 2016. "An Interpolative Particle Level Set Method.". United States. doi:.
title = {An Interpolative Particle Level Set Method.},
author = {Erickson, Lindsay Crowl and Templeton, Jeremy Alan and Morris, Karla Vanessa},
abstractNote = {Abstract not provided.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2016,
month = 7

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  • Abstract not provided.
  • The goal is to construct a symplectic evolution map for a large section of an accelerator, say a full turn of a large ring or a long wiggler. We start with an accurate tracking algorithm for single particles, which is allowed to be slightly non-symplectic. By tracking many particles for a distance S one acquires sufficient data to construct the mixed-variable generator of a symplectic map for evolution over S, given in terms of interpolatory functions. Two ways to find the generator are considered: (1) Find its gradient from tracking data, then the generator itself as a line integral. (2)more » Compute the action integral on many orbits. A test of method (1) has been made in a difficult example: a full turn map for an electron ring with strong nonlinearity near the dynamic aperture. The method succeeds at fairly large amplitudes, but there are technical difficulties near the dynamic aperture due to oddly shaped interpolation domains. For a generally applicable algorithm we propose method (2), realized with meshless interpolation methods.« less
  • When uranium hexafluoride is admitted to an isotopic mass spectrometer, the resultant ratio of U/sup 235/ to U/sup 238/ i s biased because of a phenomenon called memory. All mass spectrometer procedures must in some manner correct for this bias. An interpolative method was developed for the isotopic analysis of production samples, calibration of standard materials, and for the measurement of separation factors where precision and accuracy are of paramount importance. The interpolative procedure reduces the effect of memory to a negligible amount and at the same time compensates for, or eliminates, other sources of error. (auth)