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DTSTART:19700308T020000
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DTSTAMP:20190719T085744Z
LOCATION:HG E 1.1
DTSTART;TZID=Europe/Stockholm:20190613T124500
DTEND;TZID=Europe/Stockholm:20190613T131500
UID:submissions.pasc-conference.org_PASC19_sess159_msa159@linklings.com
SUMMARY:High-Order Accurate Conservative Finite Differences for Vlasov Equ
 ations in 2D+2V
DESCRIPTION:Minisymposium\nPhysics\n\nHigh-Order Accurate Conservative Fin
 ite Differences for Vlasov Equations in 2D+2V\n\nBanks, Odu\n\nWe discuss 
 efficient numerical approximation of solutions to the Vlasov-Poisson and V
 lasov-Maxwell systems in phase space using high-order accurate conservativ
 e finite difference algorithms. One major challenge confronting direct kin
 etic simulation is the significant computational cost associated with high
 -dimensional phase space descriptions. Here, we advocate the use of high-o
 rder accurate numerical schemes as a means to reduce the computational cos
 t required to deliver a given level of error in the computed solution. We 
 pursue a discretely conservative finite difference formulation of the gove
 rning equations, and discuss fourth- and sixth-order accurate schemes. In 
 addition, we employ a minimally dissipative nonlinear scheme based on the 
 well-known WENO approach. These algorithms represent the core of the Euler
 ian-based kinetic code LOKI, which simulates solutions to Vlasov systems i
 n 2+2-dimensional phase space. To leverage large computational resources, 
 LOKI uses MPI parallelism, details of which are discussed here. Results of
  code verification studies using the method of manufactured solutions are 
 presented. Results are also presented for the physically motivated scenari
 os including classical Landau damping, and growth of longitudinal and tran
 sverse plasma instabilities in single and multiple species plasmas.
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