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DTSTART;TZID=Europe/Stockholm:20220628T090000
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UID:submissions.pasc-conference.org_PASC22_sess181_pos109@linklings.com
SUMMARY:P04 - Scaling the Plasma Simulation while Conserving the Mass: A M
 assively-Parallel Semi-Lagrangian Solver with the Sparse Grid Combination 
 Technique
DESCRIPTION:Poster\n\nP04 - Scaling the Plasma Simulation while Conserving
  the Mass: A Massively-Parallel Semi-Lagrangian Solver with the Sparse Gri
 d Combination Technique\n\nPollinger, Kormann, Pflüger\n\nGrid-based direc
 t plasma physics simulations suffer the curse of dimensionality in compute
  time and memory complexity, making the simulation of modern fusion device
 s extremely expensive and lengthy. Consequently, the curse also applies to
  the Semi-Lagrangian code selalib, which solves the 6-dimensional Vlasov-P
 oisson equation at high efficiency and scalability while conserving the pl
 asma mass. The sparse grid combination technique can alleviate the curse o
 f dimensionality, but former approaches have not respected the conservatio
 n of solver invariants such as mass. To overcome this limitation, the mass
 ively-parallel distributed combination technique code DisCoTec was extende
 d to include two mass-preserving schemes, based on full weighting and bior
 thogonal wavelets. Our poster introduces the mass-conserving approach. It 
 compares the DisCoTec+selalib solution with mass-conserving hierarchical f
 unctions to the standard hat function approach as well as the monolithic s
 elalib solver on a full grid. Results are shown for a plasma two-stream in
 stability in 6D. The full weighting and biorthogonal basis functions not o
 nly conserve the mass, but also stabilize the solution. This comes at a ru
 n time cost, since more data needs to be communicated. However, the extra 
 parallelism introduced by the combination technique is not affected, allow
 ing to still scale up to 8192 worker processes on Hawk.
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