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@ARTICLE{Durante:1027085,
      author       = {Durante, D. and Marrone, S. and Brömmel, D. and Speck, R.
                      and Colagrossi, A.},
      title        = {{N}umerical simulation of 3{D} vorticity dynamics with the
                      {D}iffused {V}ortex {H}ydrodynamics method},
      journal      = {Mathematics and computers in simulation},
      volume       = {225},
      issn         = {0020-594X},
      address      = {Amsterdam [u.a.]},
      publisher    = {Elsevier Science},
      reportid     = {FZJ-2024-03635},
      pages        = {528-544},
      year         = {2024},
      abstract     = {In this paper the three-dimensional extension of the
                      Diffused Vortex Hydrodynamics (DVH) is discussed along with
                      free vorticity dynamics simulations. DVH is a vortex
                      particle method developed in-house and widely validated in a
                      2D framework. The DVH approach has been embedded in a new
                      frontend to the open-source code PEPC, the Pretty Efficient
                      Parallel Coulomb solver. Within this parallel Barnes-Hut
                      tree code, a superposition of elementary heat equation
                      solutions in a cubic support is performed during the
                      diffusion step. This redistribution avoids excessive
                      clustering or rarefaction of the vortex particles, providing
                      robustness and high accuracy of the method. An ascending
                      vortex dipole at various resolutions is selected as a
                      test-case and heuristic convergence measurements are
                      performed, taking into account the conservation of prime
                      integrals and the energy-enstrophy balance.},
      cin          = {JSC},
      ddc          = {004},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs)
                      and Research Groups (POF4-511) / ICEI - Interactive
                      Computing E-Infrastructure for the Human Brain Project
                      (800858)},
      pid          = {G:(DE-HGF)POF4-5112 / G:(EU-Grant)800858},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001257767800001},
      doi          = {10.1016/j.matcom.2024.06.003},
      url          = {https://juser.fz-juelich.de/record/1027085},
}