A new high order Arakawa-like method for the incompressible vorticity equation in two-dimensions has been developed. Mimetic properties such as skew-symmetry, 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.
['Chiara Sorgentone', 'Cristina La Cognata', 'Jan Nordström']
A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator