A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator

نویسندگان

  • Chiara Sorgentone
  • Cristina La Cognata
  • Jan Nordström
چکیده

A new high order Arakawa-like method for the incompressible vorticity equation in two-dimensions has been developed. Mimetic properties such as skewsymmetry, energy and enstrophy conservations for the semi-discretization are proved for periodic problems using arbitrary high order summation-by-parts operators. Numerical simulations corroborate the theoretical findings.

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عنوان ژورنال:
  • J. Comput. Physics

دوره 301  شماره 

صفحات  -

تاریخ انتشار 2015