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.
Original language | English |
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Pages (from-to) | 167-177 |
Number of pages | 11 |
Journal | Journal of Computational Physics |
Volume | 301 |
DOIs | |
Publication status | Published - 15 Nov 2015 |
Externally published | Yes |
Keywords
- Finite difference
- High-order schemes
- Jacobian
- Mimetic schemes
- Non-linear problems
- Stability
- Summation-by-parts operators
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics