Statistical mechanics of Arakawa's discretizations

DOI10.1016/j.jcp.2007.09.002zbMath1130.82005OpenAlexW2145151642MaRDI QIDQ2464990

Jason Frank, Svetlana Dubinkina

Publication date: 18 December 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/12266

zbMATH Keywords

statistical mechanicsgeophysical fluid dynamicsquasi-geostrophic flowgeometric numerical integrationconservative discretizations

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistical mechanics (82-01)

Related Items

Explicit, parallel Poisson integration of point vortices on the sphere, A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator, Statistical properties of an enstrophy conserving finite element discretisation for the stochastic quasi-geostrophic equation, Compatible finite element methods for geophysical fluid dynamics, Statistical mechanics of two-dimensional Euler flows and minimum enstrophy states, Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures, A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations, Observation-based correction of dynamical models using thermostats, Supraconservative Finite-Volume Methods for the Euler Equations of Subsonic Compressible Flow, A conservative discretization of the shallow-water equations on triangular grids, Statistical relevance of vorticity conservation in the Hamiltonian particle-mesh method, Summation-by-parts finite-difference shallow water model on the cubed-sphere grid. I: Non-staggered grid

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