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SUMMARY:Challenges for modelling fusion plasmas - Wayne Arter (Culham Cent
 re for Fusion Energy)
DTSTART:20191028T140000Z
DTEND:20191028T144500Z
UID:TALK134047@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Modelling fusion plasmas presents many challenges\, so that it
  is reasonablethat many modelling codes still use simple &#12\;nite di&#11
 \;erence representations that makeit relatively easy to explore new physic
 al processes and preserve numerical stability [1].However\, October 2019 a
 nnouncements by UK government have given UKAEA thechallenge of designing a
  nuclear fusion reactor in the next 5 years\, plus a funding elementfor up
 grading existing software both for Exascale and to meet the design challen
 ge. Oneoption under examination is the use of high order &#39\;spectrally 
 accurate&#39\; elements.The biggest modelling problem is still that of tur
 bulence mostly at relatively low plasmacollisionality. Speci&#12\;cally no
 n-dissipative issues are the tracking of plasma particle orbitsbetween col
 lisions\, sometimes reducing to tracing lines of divergence-free magnetic&
 #12\;eld. These particles then build into a Maxwell{Vlasov solver\, for wh
 ich many di&#11\;erentnumerical representations\, exploiting low collisona
 lity and the presence of a strong\,directed magnetic &#12\;eld have been e
 xplored [2]. One such is ideal MHD\, where I haveexplored the use of the L
 ie derivative [3\, 4]. Some further speculations as to the likelyrole of L
 ie (and spectral accuracy) in solving Vlasov{Maxwell\, its approximations 
 andtheir ensembles\, and interactions between the di&#11\;erent approximat
 ions\, in the Exascaleera will be presented.This work was funded by the RC
 UK Energy Programme and the European Communities under thecontract of Asso
 ciation between EURATOM and CCFE.[1] B.D. Dudson\, A. Allen\, G. Breyianni
 s\, E. Brugger\, J. Buchanan\, L. Easy\, S. Farley\, I. Joseph\,M. Kim\, A
 .D. McGann\, et al. BOUT++: Recent and current developments. Journal of Pl
 asmaPhysics\, 81(01):365810104\, 2015.[2] W. Arter. Numerical simulation o
 f magnetic fusion plasmas. Reports on Progress in Physics\,58:1{59\, 1995.
 [3] W. Arter. Potential Vorticity Formulation of Compressible Magwnetohydr
 odynamics. PhysicalReview Letters\, 110(1):015004\, 2013.[4] W. Arter. Bey
 ond Linear Fields: the Lie{Taylor Expansion. Proc Roy Soc A\, 473:20160525
 \, 2017.
LOCATION:Seminar Room 2\, Newton Institute
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