Energy-conserving Galerkin approximations for quasigeostrophic dynamics

@article{Watwood2018EnergyconservingGA,
  title={Energy-conserving Galerkin approximations for quasigeostrophic dynamics},
  author={Matthew Watwood and Ian G. Grooms and Keith A. Julien and K. Shafer Smith},
  journal={J. Comput. Phys.},
  year={2018},
  volume={388},
  pages={23-40}
}
2 Citations

Figures from this paper

On energy exchanges between eddies and the mean flow in quasigeostrophic turbulence

We study the term in the eddy energy budget of continuously stratified quasigeostrophic turbulence that is responsible for energy extraction by eddies from the background mean flow. This term is a

Dedalus: A flexible framework for numerical simulations with spectral methods

The numerical method is a first-order generalized tau formulation that discretizes equations into banded matrices that is implemented with an object-oriented design and the design and implementation of the Dedalus codebase is described.

References

SHOWING 1-10 OF 45 REFERENCES

On Galerkin Approximations of the Surface Active Quasigeostrophic Equations

AbstractThis study investigates the representation of solutions of the three-dimensional quasigeostrophic (QG) equations using Galerkin series with standard vertical modes, with particular attention

Properties of Steady Geostrophic Turbulence with Isopycnal Outcropping

AbstractHigh-resolution simulations of β-channel, zonal-jet, baroclinic turbulence with a three-dimensional quasigeostrophic (QG) model including surface potential vorticity (PV) are analyzed with

A Note on the Numerical Representation of Surface Dynamics in Quasigeostrophic Turbulence: Application to the Nonlinear Eady Model

Abstract The quasigeostrophic equations consist of the advection of linearized potential vorticity coupled with advection of temperature at the bounding upper and lower surfaces. Numerical models of

The periodic quasigeostrophic equations: existence and uniqueness of strong solutions

  • A. BennettP. Kloeden
  • Environmental Science, Mathematics
    Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  • 1982
Synopsis The periodic quasigeostrophic equations are a coupled system of a second order elliptic equation for a streamfunction and first order hyperbolic equations for the relative potential

Stochastic superparameterization in quasigeostrophic turbulence

The Dynamics of Quasigeostrophic Lens-Shaped Vortices

AbstractThe stability of lens-shaped vortices is revisited in the context of an idealized quasigeostrophic model. We compute the stability characteristics with higher accuracy and for a wider range

Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials

  • Jie Shen
  • Computer Science, Mathematics
    SIAM J. Sci. Comput.
  • 1994
This paper presents some efficient algorithms based on the Legendre–Galerkin approximations for the direct solution of the second- and fourth-order elliptic equations using matrix-matrix multiplications for discrete variational formulations.

The Scales and Equilibration of Midocean Eddies: Forced–Dissipative Flow

The statistical dynamics of midocean eddies, generated by baroclinic instability of a zonal mean flow, are studied in the context of homogeneous stratified quasigeostrophic turbulence. Existing

Baroclinic Turbulence in the Ocean: Analysis with Primitive Equation and Quasigeostrophic Simulations

AbstractThis paper examines the factors determining the distribution, length scale, magnitude, and structure of mesoscale oceanic eddies in an eddy-resolving primitive equation simulation of the

A Surface-Aware Projection Basis for Quasigeostrophic Flow

Recentstudiesindicatethataltimetricobservationsoftheocean’smesoscaleeddyfieldreflectthecombined influence of surface buoyancy and interior potential vorticity anomalies. The former have a