Parallelization in Time of Numerical Simulations of Fully-Developed Plasma Turbulence using the Parareal Algorithm Articles uri icon

publication date

  • January 2010

start page

  • 6558

end page

  • 6573

issue

  • 18

volume

  • 229

International Standard Serial Number (ISSN)

  • 0021-9991

Electronic International Standard Serial Number (EISSN)

  • 1090-2716

abstract

  • It is shown that numerical simulations of fully-developed plasma turbulence can be successfully parallelized in time using the parareal algorithm. The result is far from trivial, and even unexpected, since
    the exponential divergence of Lagrangian trajectories as well as the
    extreme sensitivity to initial conditions characteristic of turbulence
    set these type of simulations apart from the much simpler systems to
    which the parareal algorithm has been applied to this day. It is also
    shown that the parallel gain obtainable with this method is very
    promising (close to an order of magnitude for the cases and
    implementations described), even when it scales with the number of
    processors quite differently to what is typical for spatial
    parallelization.