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SUMMARY:Noiseless Vlasov-Poisson simulations with linearly transformed par
 ticles  - Martin Campos-Pinto 	 (CNRS - University Paris VI) 
DTSTART:20130621T083000Z
DTEND:20130621T092000Z
UID:TALK45894@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:In this talk we will present a deterministic particle-in-cell 
 (PIC) method with linear transformations of the particles that help remove
  the noise traditionally observed with particle schemes. In practice it is
  necessary to remap the particles from time to time on a regular grid to a
 void excessively deforming their shapes\, therefore the method can be seen
  as a development of the (quasi-eulerian) FSL scheme introduced by Denavit
  in 1972. In theory however the method is shown to converge without remapp
 ings. Deforming the particles can thus be thought of as a way to significa
 ntly lower the remapping frequency that is needed in FSL schemes. Moreover
 \, a robust dynamical remapping criterion will be presented that is based 
 on the a priori error analysis. Numerical 1d1v simulations involving bench
 mark test cases and halo formation in an initially mismatched thermal shee
 t beam will be shown\, that demonstrate some advantages of our Linearly-Tr
 ansformed PIC (LTPIC) scheme over the classical PIC and FSL methods. The c
 hoice of appropriate charge deposition schemes will also be discussed. 
LOCATION:MR12
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