Covariate-based stochastic parameterization of baroclinic ocean eddies

Nick Verheul, Jan Viebahn, and Daan Crommelin. "Covariate-based stochastic parameterization of baroclinic ocean eddies." Mathematics of Climate and Weather Forecasting 3.1 (2017): 90-117. <http://eudml.org/doc/288506>.

@article{NickVerheul2017,
abstract = {In this study we investigate a covariate-based stochastic approach to parameterize unresolved turbulent processes within a standard model of the idealised, wind-driven ocean circulation. We focus on vertical instead of horizontal coarse-graining, such that we avoid the subtle difficulties of horizontal coarsegraining. The corresponding eddy forcing is uniquely defined and has a clear physical interpretation related to baroclinic instability.We propose to emulate the baroclinic eddy forcing by sampling from the conditional probability distribution functions of the eddy forcing obtained from the baroclinic reference model data. These conditional probability distribution functions are approximated here by sampling uniformly from discrete reference values. We analyze in detail the different performances of the stochastic parameterization dependent on whether the eddy forcing is conditioned on a suitable flow-dependent covariate or on a timelagged covariate or on both. The results demonstrate that our non-Gaussian, non-linear methodology is able to accurately reproduce the first four statistical moments and spatial/temporal correlations of the stream function, energetics, and enstrophy of the reference baroclinic model.},
author = {Nick Verheul, Jan Viebahn, Daan Crommelin},
journal = {Mathematics of Climate and Weather Forecasting},
keywords = {Stochastic parameterization; baroclinic eddies; flow-dependent parameterization},
language = {eng},
number = {1},
pages = {90-117},
title = {Covariate-based stochastic parameterization of baroclinic ocean eddies},
url = {http://eudml.org/doc/288506},
volume = {3},
year = {2017},
}

TY - JOUR
AU - Nick Verheul
AU - Jan Viebahn
AU - Daan Crommelin
TI - Covariate-based stochastic parameterization of baroclinic ocean eddies
JO - Mathematics of Climate and Weather Forecasting
PY - 2017
VL - 3
IS - 1
SP - 90
EP - 117
AB - In this study we investigate a covariate-based stochastic approach to parameterize unresolved turbulent processes within a standard model of the idealised, wind-driven ocean circulation. We focus on vertical instead of horizontal coarse-graining, such that we avoid the subtle difficulties of horizontal coarsegraining. The corresponding eddy forcing is uniquely defined and has a clear physical interpretation related to baroclinic instability.We propose to emulate the baroclinic eddy forcing by sampling from the conditional probability distribution functions of the eddy forcing obtained from the baroclinic reference model data. These conditional probability distribution functions are approximated here by sampling uniformly from discrete reference values. We analyze in detail the different performances of the stochastic parameterization dependent on whether the eddy forcing is conditioned on a suitable flow-dependent covariate or on a timelagged covariate or on both. The results demonstrate that our non-Gaussian, non-linear methodology is able to accurately reproduce the first four statistical moments and spatial/temporal correlations of the stream function, energetics, and enstrophy of the reference baroclinic model.
LA - eng
KW - Stochastic parameterization; baroclinic eddies; flow-dependent parameterization
UR - http://eudml.org/doc/288506
ER -