Daniel Shapero
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View article: Ice shelf evolution combining flow, flexure, and fracture
Ice shelf evolution combining flow, flexure, and fracture Open
Ice shelves regulate ice sheet dynamics, with their stability influenced by horizontal flow and vertical flexure. MacAyeal and others (2021) developed the theoretical foundation for a coupled flow-flexure model (the “M21 model”), combining…
View article: Numerical simulation of glacier terminus evolution using the dual action principle for momentum balance
Numerical simulation of glacier terminus evolution using the dual action principle for momentum balance Open
The momentum conservation equation for glacier flow can be described through minimization of an action functional. Several software packages for glacier flow modeling use this action principle in the design of numerical solution procedures…
View article: Consistent point data assimilation in Firedrake and Icepack
Consistent point data assimilation in Firedrake and Icepack Open
We present a high-level, differentiable, and composable abstraction for the point evaluation of the solution fields of partial differential equation models. The new functionality, embedded in the Firedrake automated finite element system, …
View article: Responses of the Pine Island and Thwaites glaciers to melt and sliding parameterizations
Responses of the Pine Island and Thwaites glaciers to melt and sliding parameterizations Open
The Pine Island and Thwaites glaciers are the two largest contributors to sea level rise from Antarctica. Here we examine the influence of basal friction and ice shelf basal melt in determining projected losses. We examine both Weertman an…
View article: Comment on egusphere-2023-2929
Comment on egusphere-2023-2929 Open
Abstract. Pine Island and Thwaites glaciers are the two largest contributors to sea level rise from Antarctica. Here we examine the influence of basal friction and melt in determining projected losses. We examine both Weertman and Coulomb …
View article: Responses of Pine Island and Thwaites Glaciers to Melt and Sliding Parameterizations
Responses of Pine Island and Thwaites Glaciers to Melt and Sliding Parameterizations Open
Pine Island and Thwaites glaciers are the two largest contributors to sea level rise from Antarctica. Here we examine the influence of basal friction and melt in determining projected losses. We examine both Weertman and Coulomb friction l…
View article: High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities
High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities Open
Solutions to many important partial differential equations satisfy bounds constraints, but approximations computed by finite element or finite difference methods typically fail to respect the same conditions. Chang and Nakshatrala enforce …
View article: Consistent Point Data Assimilation in Firedrake and Icepack
Consistent Point Data Assimilation in Firedrake and Icepack Open
When estimating quantities and fields that are difficult to measure directly, such as the fluidity of ice, from point data sources, such as satellite altimetry, it is important to solve a numerical inverse problem that is formulated with B…
View article: Point Data Assimilation in Firedrake and Icepack
Point Data Assimilation in Firedrake and Icepack Open
We present methods and tools which significantly improve the ability to estimate quantities and fields which are difficult to directly measure at large scales, such as the fluidity of ice, using point data sources from remote sensing. Our …
View article: Ocean-induced melt volume directly paces ice loss from Pine Island Glacier
Ocean-induced melt volume directly paces ice loss from Pine Island Glacier Open
Glacier response to ice-shelf thinning is driven largely by the total melt rather than its spatial distribution.
View article: Comment on tc-2021-280
Comment on tc-2021-280 Open
Abstract. Numerical simulations of ice sheets rely on the momentum balance to determine how ice velocities change as the geometry of the system evolves. Ice is generally assumed to follow a Stokes flow with a nonlinear viscosity. Several a…
View article: icepack: a new glacier flow modeling package in Python, version 1.0
icepack: a new glacier flow modeling package in Python, version 1.0 Open
We introduce a new software package called “icepack” for modeling the flow of glaciers and ice sheets. The icepack package is built on the finite element modeling library Firedrake, which uses the Unified Form Language (UFL), a domain-spec…
View article: Ice-shelf retreat drives recent Pine Island Glacier speedup
Ice-shelf retreat drives recent Pine Island Glacier speedup Open
Antarctica’s largest contributor to sea level has sped up further as a major section of its floating ice shelf collapsed.
View article: Reply on RC2
Reply on RC2 Open
Abstract. We introduce a new software package called âicepackâ for modeling the flow of glaciers and ice sheets. The icepack package is built on the finite element modeling library Firedrake, which uses the Unified Form Language (UFL),…
View article: Reply on RC1
Reply on RC1 Open
Abstract. We introduce a new software package called âicepackâ for modeling the flow of glaciers and ice sheets. The icepack package is built on the finite element modeling library Firedrake, which uses the Unified Form Language (UFL),…
View article: Reply on CC1
Reply on CC1 Open
Abstract. We introduce a new software package called âicepackâ for modeling the flow of glaciers and ice sheets. The icepack package is built on the finite element modeling library Firedrake, which uses the Unified Form Language (UFL),…
View article: Reply on RC2
Reply on RC2 Open
Abstract. We introduce a new software package called âicepackâ for modeling the flow of glaciers and ice sheets. The icepack package is built on the finite element modeling library Firedrake, which uses the Unified Form Language (UFL),…
View article: Data associated with "Ice-Shelf Retreat Drives Recent Pine Island Glacier Speedup” and "Ocean-Induced Melt Volume Directly Paces Ice Loss from Pine Island Glacier"
Data associated with "Ice-Shelf Retreat Drives Recent Pine Island Glacier Speedup” and "Ocean-Induced Melt Volume Directly Paces Ice Loss from Pine Island Glacier" Open
Speedup of Pine Island Glacier over the last several decades has made it Antarctica’s largest contributor to sea-level rise. The past speedup is largely due to grounding-line retreat in response to ocean-induced thinning that reduced ice-s…
View article: Assimilating sparse data in glaciological inverse problems
Assimilating sparse data in glaciological inverse problems Open
<p>Most of the existing work on solving inverse problems in glaciology has assumed that the observational data used to constrain the model are spatially dense. This assumption is very convenient because it means that the model-data m…
View article: Community comment on gmd-2020-419
Community comment on gmd-2020-419 Open
Abstract. We introduce a new software package called âicepackâ for modeling the flow of glaciers and ice sheets. The icepack package is built on the finite element modeling library Firedrake, which uses the Unified Form Language (UFL),…
View article: Comment on gmd-2020-419
Comment on gmd-2020-419 Open
Abstract. We introduce a new software package called âicepackâ for modeling the flow of glaciers and ice sheets. The icepack package is built on the finite element modeling library Firedrake, which uses the Unified Form Language (UFL),…
View article: The Framework For Ice Sheet–Ocean Coupling (FISOC) V1.1
The Framework For Ice Sheet–Ocean Coupling (FISOC) V1.1 Open
A number of important questions concern processes at the margins of ice sheets where multiple components of the Earth system, most crucially ice sheets and oceans, interact. Such processes include thermodynamic interaction at the ice–ocean…
View article: <i>icepack</i> : a new glacier flow modeling package in Python, version 1.0
<i>icepack</i> : a new glacier flow modeling package in Python, version 1.0 Open
We introduce a new software package called icepack for modeling the flow of glaciers and ice sheets. Icepack is built on the finite element modeling library Firedrake, which uses the domain-specific language UFL for describing weak forms o…
View article: Brief communication: Heterogenous thinning and subglacial lake activity on Thwaites Glacier, West Antarctica
Brief communication: Heterogenous thinning and subglacial lake activity on Thwaites Glacier, West Antarctica Open
A system of subglacial lakes drained on Thwaites Glacier from 2012–2014. To improve coverage for subsequent drainage events, we extended the elevation and ice-velocity time series on Thwaites Glacier through austral winter 2019. These new …
View article: A Framework for Ice Sheet – Ocean Coupling (FISOC) V1.1
A Framework for Ice Sheet – Ocean Coupling (FISOC) V1.1 Open
A number of important questions concern processes at the margins of ice sheets where multiple components of the Earth System, most crucially ice sheets and oceans, interact. Such processes include thermodynamic interaction at the ice-ocean…
View article: Brief Communication: Heterogenous thinning and subglacial lake activity on Thwaites Glacier, West Antarctica
Brief Communication: Heterogenous thinning and subglacial lake activity on Thwaites Glacier, West Antarctica Open
A system of subglacial lakes drained on Thwaites Glacier from 2012–2014. To improve coverage for subsequent drainage events, we extended the elevation and ice velocity time series on Thwaites Glacier through austral winter 2019. These new …