2020/02/06 by Qingshan Chen, Lili Ju, Chen, Qingshan +3
Earth and Planetary Sciences · #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Mathematics #FOS: Physical sciences #Geophysics (physics.geo-ph) #Numerical Analysis (math.NA) #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes #Tropical and Extratropical Cyclones Research
paper · pdf · doi:10.48550/arxiv.2002.02484
openalex publication_date 2020/02/06 · openalex created_date 2023/01/04 · openalex updated_date 2026/07/28
A new energy and enstrophy conserving scheme is evaluated using a suite of test cases over the global spherical domain or bounded domains. The evaluation is organized around a set of pre-defined properties: accuracy of individual opeartors, accuracy of the whole scheme, conservation, control of the divergence variable, representation of the energy and enstrophy spectra, and simulation of nonlinear dynamics. The results confirm that the scheme is between the first and second order accurate, and conserves the total energy and potential enstrophy up to the time truncation errors. The scheme is capable of producing more physically realistic energy and enstrophy spectra, indicating that the new scheme can help prevent the unphysical energy cascade towards the finest resolvable scales. With an optimal representation of the dispersive wave relations, the scheme is able to keep the flow close to being non-divergent, maintain the geostrophically balanced structures with large-scale geophysical flows over long-term simulations.