Remote Measurement of Sea Ice Dynamics With Regularized Optimal Transport

Parno, Matthew; West, Brendan A.; Song, Arnold; Hodgdon, Taylor S.; O’Connor, Devin

doi:10.1029/2019gl083037

Cited by 8 publications

(5 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The model contains multiple cracks that separate this portion of the ice from the main channel, which is predominantly landfast. Landfast ice is also modeled in other regions, especially in the fjords, inlets, and channels off of Nares Strait, which is also observed in the simulations of Dansereau et al (2017), the RADARSAT observations of Yackel et al (2001), and the estimated strains in Parno et al (2019).…”

Section: Nares Strait Simulationmentioning

confidence: 72%

See 1 more Smart Citation

Bonded Discrete Element Simulations of Sea Ice With Non‐Local Failure: Applications to Nares Strait

West

O’Connor

Parno

et al. 2022

J Adv Model Earth Syst

Self Cite

View full text Add to dashboard Cite

Numerical models of sea ice play an important role in understanding the changing Arctic and allow researchers to predict the dynamic response of sea ice to different environmental conditions. High resolution forecasts from predictive models are also becoming increasingly important due to increased human activity in the Arctic. The recent decline in Arctic sea ice has lead to more traffic in the Arctic Ocean for fishing, resource extraction, tourism, cargo shipping, and military purposes. Sea ice models that can explicitly capture small discontinuities and fractures in the ice are particularly valuable for navigation. For example, IICWG (2019) lists high resolution information about compression and pressure ridges as one of the most important things missing in current operational ice products.Many sea ice models, such as those used in global climate models, employ continuum approaches where the sea ice is discretized with an Eulerian mesh and the ice is modeled with constitutive models such as viscous-plastic (VP) or elastic-viscous-plastic (EVP) rheologies (Hibler, 1979;Hunke & Dukowicz, 1997). Recent studies, such as (Bouchat & Tremblay, 2017) and (Hutter & Losch, 2020), have shown that VP/EVP rheologies can capture important statistics about largescale sea ice deformation. On smaller scales however, it has been shown that

show abstract

Section: Nares Strait Simulationmentioning

confidence: 72%

“…In Parno et al. (2019), the ice in Nares Strait was also observed to flow in from Kennedy channel toward Humboldt Glacier. Despite there being no stable arch in the MODIS imagery, this modeled arch closely matches an arch in the Nares Strait simulation of Dansereau et al.…”

Section: Nares Strait Simulationmentioning

confidence: 94%

Bonded Discrete Element Simulations of Sea Ice With Non‐Local Failure: Applications to Nares Strait

West

O’Connor

Parno

et al. 2022

J Adv Model Earth Syst

Self Cite

View full text Add to dashboard Cite

show abstract

“…The Wasserstein distance has been used in several other areas of geosciences. To list a few, it has been used to analyse particle distributions in the ocean [18]; for measuring error in temperature, precipitation, and sea ice projections [19]; for ocean data assimilation [20,21]; for analysing sea height images [22]; for ocean synthetic aperture radar (SAR) segmentation [23]; and for studying sea ice imagery [24]. However, [15] makes clear that the Wasserstein distance has not been thoroughly applied to the fundamental problem of model-to-data comparison and model-skill evaluation, particularly in the context of ocean biogeochemical models and the representation of marine ecosystem structure and function.…”

Section: Introductionmentioning

confidence: 99%

Ocean mover’s distance: using optimal transport for analysing oceanographic data

et al. 2022

View full text Add to dashboard Cite

Remote sensing observations from satellites and global biogeochemical models have combined to revolutionize the study of ocean biogeochemical cycling, but comparing the two data streams to each other and across time remains challenging due to the strong spatial-temporal structuring of the ocean. Here, we show that the Wasserstein distance provides a powerful metric for harnessing these structured datasets for better marine ecosystem and climate predictions. The Wasserstein distance complements commonly used point-wise difference methods such as the root-mean-squared error, by quantifying differences in terms of spatial displacement in addition to magnitude. As a test case, we consider chlorophyll (a key indicator of phytoplankton biomass) in the northeast Pacific Ocean, obtained from model simulations, in situ measurements, and satellite observations. We focus on two main applications: (i) comparing model predictions with satellite observations, and (ii) temporal evolution of chlorophyll both seasonally and over longer time frames. The Wasserstein distance successfully isolates temporal and depth variability and quantifies shifts in biogeochemical province boundaries. It also exposes relevant temporal trends in satellite chlorophyll consistent with climate change predictions. Our study shows that optimal transport vectors underlying the Wasserstein distance provide a novel visualization tool for testing models and better understanding temporal dynamics in the ocean.

show abstract

“…Sea ice dynamics plays a vital role in understanding the ice cover in polar regions. Properly representing sea ice dynamics is crucial in predicting environmental variables and is important in a wide range of applications such as the navigation of ice breaker ships [30,36]. The observations of the Arctic Ice Dynamics Joint Experiment (AIDJEX) significantly improved the modeling of the sea ice dynamics in the 1970s [10].…”

Section: Introductionmentioning

confidence: 99%

Improving numerical accuracy for the viscous-plastic formulation of sea ice

Li¹,

Gelb²,

Lee³

2022

Preprint

View full text Add to dashboard Cite

Accurate modeling of sea ice dynamics is critical for predicting environmental variables and is important in applications such as navigating ice breaker ships. Research for both modeling and simulating sea ice dynamics is ongoing, with the most widely accepted model based on the viscousplastic (VP) formulation introduced by Hibler in 1979. Due to its highly nonlinear features, this model is intrinsically challenging for computational solvers. In particular, sea ice simulations often significantly differ from satellite observations. This study therefore focuses on improving the numerical accuracy of the VP sea ice model. Since the poor convergence observed in existing numerical simulations stems from the nonlinear nature of the VP formulation, this investigation proposes using the celebrated weighted essentially non-oscillatory (WENO) scheme -as opposed to the frequently employed centered difference (CD) scheme -for the spatial derivatives in the VP sea ice model. We then proceed to numerically demonstrate that WENO yields higher-order convergence for smooth solutions, and that furthermore it is able to resolve the discontinuities in the sharp features of sea ice covers -something that is not possible using CD methods. Finally, our proposed framework integrates a potential function method that utilizes the phase field method to naturally incorporates the physical restrictions of ice thickness and ice concentration in transport equations, resulting in a modified transport equations which includes additional forcing terms. Our method does not require post-processing, thereby avoiding the possible introduction of discontinuities and corresponding negative impact on the solution behavior. Numerical experiments are provided to demonstrate the efficacy of our new methodology.

show abstract

Remote Measurement of Sea Ice Dynamics With Regularized Optimal Transport

Cited by 8 publications

References 32 publications

Bonded Discrete Element Simulations of Sea Ice With Non‐Local Failure: Applications to Nares Strait

Bonded Discrete Element Simulations of Sea Ice With Non‐Local Failure: Applications to Nares Strait

Ocean mover’s distance: using optimal transport for analysing oceanographic data

Improving numerical accuracy for the viscous-plastic formulation of sea ice

Contact Info

Product

Resources

About