A New High Order Energy and Enstrophy Conserving Arakawa-like Jacobian Differential Operator
2015 (English)Report (Other academic)
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-partsoperators. Numerical simulations corroborate the theoreticalfindings.
Place, publisher, year, edition, pages
Linköping University Electronic Press, 2015. , 21 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2015:05
non-linear problems, summation-by-parts operators, Jacobian, mimetic schemes, high-order schemes, stability, finite difference
Mathematics Computational Mathematics
IdentifiersURN: urn:nbn:se:liu:diva-115254ISRN: LiTH-MAT-R--2015/05--SEOAI: oai:DiVA.org:liu-115254DiVA: diva2:794372