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.
A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator / Sorgentone, C.; La Cognata, C.; Nordstrom, J.. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - 301:(2015), pp. 167-177. [10.1016/j.jcp.2015.08.028]
A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator
Sorgentone C.Primo
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2015
Abstract
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.| File | Dimensione | Formato | |
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