Lagrangian Data Assimilation and Parameter Estimation of an Idealized Sea Ice Discrete Element Model

Chen, Nan; Fu, Shubin; Manucharyan, Georgy E.

doi:10.1029/2021ms002513

Cited by 6 publications

(6 citation statements)

References 62 publications

(68 reference statements)

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“…Discrete element models with bonds commonly utilize force‐displacement laws for viscous‐frictional tangential forces (Cundall & Strack, 1979; Damsgaard et al., 2018; Herman, 2016; Hopkins et al., 2004). For this model, which does not have bonds, the frictional tangential force is associated with the average tangential velocity difference between the floes at the contact location (Chen et al., 2021). The basic frictional force model defines a coefficient of static friction and a smaller coefficient for kinetic friction, taking the force to be proportional to the normal force only.…”

Section: Dynamical Core Of the Subzero Modelmentioning

confidence: 99%

“…Existing sea ice DEMs (see Tuhkuri and Polojärvi [2018] for a review) follow a conventional approach of using simple pre‐defined shapes for the elements, for example, points or disks (Chen et al., 2021; Damsgaard et al., 2018; Herman, 2013), polygons (Kulchitsky et al., 2017) or tetrahedra (Liu & Ji, 2018). However, observations demonstrate that floes range dramatically in shape and size (Figure 1) and evolve in time subject to a variety of processes like fractures, rafting and ridging, lateral growth/melt, welding, etc.…”

Section: Introductionmentioning

confidence: 99%

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SubZero: A Sea Ice Model With an Explicit Representation of the Floe Life Cycle

Manucharyan

Montemuro

2022

J Adv Model Earth Syst

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Sea ice dynamics exhibit granular behavior as individual floes and fracture networks become particularly evident at length scales O(10–100) km and smaller. However, climate models do not resolve floes and represent sea ice as a continuum, while existing floe‐scale sea ice models tend to oversimplify floes using discrete elements of predefined simple shapes. The idealized nature of climate and discrete element sea ice models presents a challenge of comparing the model output with floe‐scale sea ice observations. Here we present SubZero, a conceptually new sea ice model geared to explicitly simulate the life cycles of individual floes by using complex discrete elements with time‐evolving shapes. This unique model uses parameterizations of floe‐scale processes, such as collisions, fractures, ridging, and welding, to simulate a wide range of evolving floe shapes and sizes. We demonstrate the novel capabilities of the SubZero model in idealized experiments, including uniaxial compression, the summer‐time sea ice flow through the Nares Strait, and winter‐time sea ice growth. The model naturally reproduces the statistical behavior of the observed sea ice, such as the power‐law appearance of the floe size distribution and the long‐tailed ice thickness distribution. The SubZero model could provide a valuable alternative to existing discrete element and continuous sea ice models for simulations of floe interactions.

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Section: Dynamical Core Of the Subzero Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

SubZero: A Sea Ice Model With an Explicit Representation of the Floe Life Cycle

Manucharyan

Montemuro

2022

J Adv Model Earth Syst

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“…The frictional tangential force is proportional to the normal force and is associated with the average tangential velocity difference between the floes at the contact location (Cundall & Strack, 1979;Chen et al, 2021b). The basic frictional force model defines a coefficient of static friction and a smaller coefficient for the kinetic friction, taking the force to be proportional to the normal force only.…”

Section: Tangential Forcesmentioning

confidence: 99%

“…or disks (Herman, 2013;Damsgaard et al, 2018;Chen et al, 2021a), polygons (Kulchitsky et al, 2017) or tetrahedra (Liu & Ji, 2018). However, observations demonstrate that floes range dramatically in shapes and sizes (Fig.…”

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confidence: 99%

SubZero: A Sea Ice Model with an Explicit Representation of the Floe Life Cycle

Manucharyan¹,

Montemuro²

2022

Preprint

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Sea ice dynamics span a wide range of scales and exhibit granular behavior as individual floes and fracture networks become evident at length scales O(10--100) km and smaller. Existing floe-scale sea ice models use bonded elements of predefined simple shapes like disks or tetrahedra to represent more complex floe geometries. However, floe-scale modeling remains challenging due to its typically high computational cost and difficulties in reconciling the idealized nature of discrete elements with complex floe-scale observations. Here we present SubZero, a conceptually new sea ice model geared to explicitly simulate the lifecycles of individual floes by using complex discrete elements with time-evolving shapes. This unique model uses parameterizations of floe-scale processes, such as collisions, fractures, ridging, and welding, to bypass the high computational costs of resolving intra-floe bonded elements. We demonstrate the novel capabilities brought by the SubZero model in idealized experiments, including the summer-time sea ice flow through the Nares Strait and a winter-time equilibration of floe size and ice thickness distributions. The SubZero model could provide a valuable alternative to existing discrete element and continuous sea ice models for simulations of floe interactions.

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“…Therefore, it is crucial to model and analyze sea ice dynamics, which also facilitates developing the next-generation global climate models (GCMs) [28,25]. There has been a rapid growth in research on modeling sea ice, including contributions from applied and computational mathematics (see, for example, some recent work [28,3,62,27,8,55,9,13,51,63]).…”

Section: Introductionmentioning

confidence: 99%

Particle-Continuum Multiscale Modeling of Sea Ice Floes

Deng¹,

Stechmann²,

Chen³

2023

Preprint

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Sea ice profoundly influences the polar environment and the global climate. Traditionally, Sea ice has been modeled as a continuum under Eulerian coordinates to describe its large-scale features, using, for instance, viscous-plastic rheology. Recently, Lagrangian particle models, also known as the discrete element method (DEM) models, have been utilized for characterizing the motion of individual sea ice fragments (called floes) at scales of 10 km and smaller, especially in marginal ice zones. This paper develops a multiscale model that couples the particle and the continuum systems to facilitate an effective representation of the dynamical and statistical features of sea ice across different scales. The multiscale model exploits a Boltzmann-type system that links the particle movement with the continuum equations. For the small-scale dynamics, it describes the motion of each sea ice floe. Then, as the large-scale continuum component, it treats the statistical moments of mass density and linear and angular velocities. The evolution of these statistics affects the motion of individual floes, which in turn provides bulk feedback that adjusts the large-scale dynamics. Notably, the particle model characterizing the sea ice floes is localized and fully parallelized, in a framework that is sometimes called superparameterization, which significantly improves computation efficiency. Numerical examples demonstrate the effective performance of the multiscale model. Additionally, the study demonstrates that the multiscale model has a linearorder approximation to the truth model.

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Lagrangian Data Assimilation and Parameter Estimation of an Idealized Sea Ice Discrete Element Model

Cited by 6 publications

References 62 publications

SubZero: A Sea Ice Model With an Explicit Representation of the Floe Life Cycle

SubZero: A Sea Ice Model With an Explicit Representation of the Floe Life Cycle

SubZero: A Sea Ice Model with an Explicit Representation of the Floe Life Cycle

Particle-Continuum Multiscale Modeling of Sea Ice Floes

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