Statistical properties of an enstrophy conserving finite element discretisation for the stochastic quasi-geostrophic equation

DOI10.1080/03091929.2018.1549240OpenAlexW2903099445WikidataQ114640076 ScholiaQ114640076MaRDI QIDQ5065643

T. M. Bendall, Colin John Cotter

Publication date: 22 March 2022

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091929.2018.1549240

zbMATH Keywords

finite element methodstochastic partial differential equationsenstrophygeophysical fluid dynamics

Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Data-driven structure-preserving model reduction for stochastic Hamiltonian systems ⋮ Well-posedness for a stochastic 2D Euler equation with transport noise

Uses Software

• chammp
• Firedrake

Cites Work

• Unnamed Item
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Statistical mechanics of Arakawa's discretizations
• Firedrake
• Nonlinear stability and statistical mechanics of flow over topography
• H theorems in statistical fluid dynamics
• Statistical dynamics of two-dimensional flow
• The equilibrium statistical mechanics of simple quasi-geostrophic models
• Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics
• Statistical features of the evolution of two-dimensional turbulence
• Probabilistic Forecasting and Bayesian Data Assimilation
• Variational principles for stochastic fluid dynamics
• Hamilton’s principle for quasigeostrophic motion

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