Document Detail


Eulerian method for computing multivalued solutions of the Euler-Poisson equations and applications to wave breaking in klystrons.
MedLine Citation:
PMID:  15324179     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We provide methods of computing multivalued solutions to the Euler-Poisson system and test them in the context of a klystron amplifier. An Eulerian formulation capable of computing multivalued solutions is derived from a kinetic description of the Euler-Poisson system and a moment closure. The system of the moment equations may be closed due to the special structure of the solution in phase space. The Eulerian moment equations are computed for a velocity modulated electron beam, which has been shown by prior Lagrangian theories to break in a finite time and form multivalued solutions. The results of the Eulerian moment equations are compared to direct computation of the kinetic equations and a Lagrangian method also developed in the paper. We use the Lagrangian formulation for the explicit computation of wave breaking time and location for typical velocity modulation boundary conditions.
Authors:
Xiantao Li; John G Wöhlbier; Shi Jin; John H Booske
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Publication Detail:
Type:  Journal Article     Date:  2004-07-07
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  70     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2004  
Date Detail:
Created Date:  2004-08-24     Completed Date:  2004-10-07     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  016502     Citation Subset:  -    
Affiliation:
The Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA.
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