Aakash Sane

and 3 more

We demonstrate the use of information theory metrics, Shannon entropy and mutual information, for measuring internal and forced variability in general circulation coastal and global ocean models. These metrics have been applied on spatially and temporally averaged data. A combined metric reliably delineates intrinsic and extrinsic variability in a wider range of circumstances than previous approaches based on variance ratios that therefore assume Gaussian distributions. Shannon entropy and mutual information manage correlated fields, apply to any distribution, and are insensitive to outliers and a change of units or scale. Different metrics are used to quantify internal vs forced variability in (1) idealized Gaussian and uniformly distributed data, (2) an initial condition ensemble of a realistic coastal ocean model (OSOM), (3) the GFDL-ESM2M climate model large ensemble. A metric based on information theory partly agrees with the traditional variance-based metric and identifies regions where non-linear correlations might exist. Mutual information and Shannon entropy are used to quantify the impact of different boundary forcings in a coastal ocean model ensemble. Information theory enables ranking the potential impacts of improving boundary and forcing conditions across multiple predicted variables with different dimensions. The climate model ensemble application shows how information theory metrics are robust even in a highly skewed probability distribution (Arctic sea surface temperature) resulting from sharply non-linear behavior (freezing point).

Momme Hell

and 2 more

Ocean surface waves have been demonstrated to be an important component of coupled Earth System Models (ESMs), influencing atmosphere-ocean momentum transfer, ice floe breakage, CFC, carbon and energy uptake, and mixed-layer depth. Modest errors in sea state properties do not strongly affect the impacts of these parameterizations. The minimal data and accuracy needed contrast sharply with the computational costs of spectral wave models in next-generation ESMs. We establish an alternative, cost-efficient wave modeling framework for air-sea and ice-ocean interactions that enables the routine use of sea state-dependent air-sea coupling in ESMs. In contrast to spectral models, the Particle-in-Cell for Efficient Swell (PiCLES) wave model is constructed for coupled atmosphere-ocean-sea ice modeling. Combining Lagrangian wave growth solutions with the Particle-In-Cell method leads to a model that periodically projects onto any convenient grid and scales in an embarrassingly parallel manner. The set of equations solves for the growth and propagation of a parametric wave spectrum’s peak wavenumber and total wave energy, which reduces the state vector size by a factor of 50-200 compared to spectral models. We estimate PiCLES’s computational costs about 1-4 orders of magnitude faster than established wave models with sufficient accuracy for ESMs – rivaling that of spectral models in the open ocean. We evaluate PiCLES against WAVEWATCH III in efficiency and accuracy and discuss the advantages of future performance and planned extensions of its capability in ESMs.

Jihai Dong

and 3 more