From b6799b29a5835e69fdb90ddac553f2956df41890 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 26 Apr 2024 08:52:10 +0000 Subject: [PATCH] build based on b440cc3 --- dev/.documenter-siteinfo.json | 2 +- dev/APIref/index.html | 6 +++--- dev/examples/glacialcycle/8d836ef6.png | Bin 0 -> 56291 bytes dev/examples/glacialcycle/9a2c1e8d.png | Bin 0 -> 53350 bytes dev/examples/glacialcycle/f8742ddf.png | Bin 0 -> 82257 bytes dev/examples/glacialcycle/index.html | 15 +++++++-------- dev/examples/inversion/0be76569.png | Bin 44957 -> 0 bytes dev/examples/inversion/2c48ce98.png | Bin 0 -> 44944 bytes dev/examples/inversion/index.html | 2 +- dev/examples/tutorial/index.html | 2 +- dev/fortran/index.html | 2 +- dev/index.html | 2 +- dev/introGIA/index.html | 2 +- dev/references/index.html | 2 +- 14 files changed, 17 insertions(+), 18 deletions(-) create mode 100644 dev/examples/glacialcycle/8d836ef6.png create mode 100644 dev/examples/glacialcycle/9a2c1e8d.png create mode 100644 dev/examples/glacialcycle/f8742ddf.png delete mode 100644 dev/examples/inversion/0be76569.png create mode 100644 dev/examples/inversion/2c48ce98.png diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index c7ce634..58a6fb8 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2024-04-26T08:32:23","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2024-04-26T08:52:01","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/APIref/index.html b/dev/APIref/index.html index 11e5521..688bd68 100644 --- a/dev/APIref/index.html +++ b/dev/APIref/index.html @@ -1,9 +1,9 @@ API reference · FastIsostasy.jl

API reference

Basic structs

FastIsostasy.ComputationDomainType
ComputationDomain
 ComputationDomain(W, n)
-ComputationDomain(Wx, Wy, Nx, Ny)

Return a struct containing all information related to geometry of the domain and potentially used parallelism. To initialize one with 2*W and 2^n grid cells:

Omega = ComputationDomain(W, n)

If a rectangular domain is needed, run:

Omega = ComputationDomain(Wx, Wy, Nx, Ny)
source
FastIsostasy.PhysicalConstantsType
PhysicalConstants

Return a struct containing important physical constants. Comes with default values that can however be changed by the user, for instance by running:

c = PhysicalConstants(rho_ice = 0.93)   # (kg/m^3)

All constants are given in SI units (kilogram, meter, second).

source
FastIsostasy.LayeredEarthType
LayeredEarth(Omega; layer_boundaries, layer_viscosities)

Return a struct containing all information related to the lateral variability of solid-Earth parameters. To initialize with values other than default, run:

Omega = ComputationDomain(3000e3, 7)
+ComputationDomain(Wx, Wy, Nx, Ny)

Return a struct containing all information related to geometry of the domain and potentially used parallelism. To initialize one with 2*W and 2^n grid cells:

Omega = ComputationDomain(W, n)

If a rectangular domain is needed, run:

Omega = ComputationDomain(Wx, Wy, Nx, Ny)
source
FastIsostasy.PhysicalConstantsType
PhysicalConstants

Return a struct containing important physical constants. Comes with default values that can however be changed by the user, for instance by running:

c = PhysicalConstants(rho_ice = 0.93)   # (kg/m^3)

All constants are given in SI units (kilogram, meter, second).

source
FastIsostasy.LayeredEarthType
LayeredEarth(Omega; layer_boundaries, layer_viscosities)

Return a struct containing all information related to the lateral variability of solid-Earth parameters. To initialize with values other than default, run:

Omega = ComputationDomain(3000e3, 7)
 lb = [100e3, 300e3]
 lv = [1e19, 1e21]
-p = LayeredEarth(Omega, layer_boundaries = lb, layer_viscosities = lv)

which initializes a lithosphere of thickness $T_1 = 100 \mathrm{km}$, a viscous channel between $T_1$ and $T_2 = 200 \mathrm{km}$ and a viscous halfspace starting at $T_2$. This represents a homogenous case. For heterogeneous ones, simply make lb::Vector{Matrix}, lv::Vector{Matrix} such that the vector elements represent the lateral variability of each layer on the grid of Omega::ComputationDomain.

source
FastIsostasy.CurrentStateType
CurrentState

Return a mutable struct containing the geostate which will be updated over the simulation. The geostate contains all the states of the [FastIsoProblem] to be solved.

source
FastIsostasy.FastIsoToolsType
FastIsoTools(Omega, c, p)

Return a struct containing pre-computed tools to perform forward-stepping of the model. This includes the Green's functions for the computation of the lithosphere and geoid displacement, plans for FFTs, interpolators of the load and the viscosity over time and preallocated arrays.

source
FastIsostasy.OceanSurfaceChangeType
OceanSurfaceChange(; z0 = 0.0)

Return a mutable struct OceanSurfaceChange containing:

  • z_k: the GMSL at current time step k.
  • A_k: the ocean surface at current time step k.
  • z: a vector of GMSL values used as knots for interpolation.
  • A: a vector of ocean surface values used as knots for interpolation.
  • A_itp: an interpolator of ocean surface over depth. Bias-free for present-day.
  • A_pd: the present-day ocean surface.
  • res: residual of the nonlinear equation solved numerically.

An osc::OceanSurfaceChange can be used as function to update osc.z_k and osc.A_k based on osc.A_itp and an input delta_V by running:

osc(delta_V)
source
FastIsostasy.FastIsoProblemType
FastIsoProblem(Omega, c, p, t_out)
+p = LayeredEarth(Omega, layer_boundaries = lb, layer_viscosities = lv)

which initializes a lithosphere of thickness $T_1 = 100 \mathrm{km}$, a viscous channel between $T_1$ and $T_2 = 200 \mathrm{km}$ and a viscous halfspace starting at $T_2$. This represents a homogenous case. For heterogeneous ones, simply make lb::Vector{Matrix}, lv::Vector{Matrix} such that the vector elements represent the lateral variability of each layer on the grid of Omega::ComputationDomain.

source
FastIsostasy.CurrentStateType
CurrentState

Return a mutable struct containing the geostate which will be updated over the simulation. The geostate contains all the states of the [FastIsoProblem] to be solved.

source
FastIsostasy.FastIsoToolsType
FastIsoTools(Omega, c, p)

Return a struct containing pre-computed tools to perform forward-stepping of the model. This includes the Green's functions for the computation of the lithosphere and geoid displacement, plans for FFTs, interpolators of the load and the viscosity over time and preallocated arrays.

source
FastIsostasy.OceanSurfaceChangeType
OceanSurfaceChange(; z0 = 0.0)

Return a mutable struct OceanSurfaceChange containing:

  • z_k: the GMSL at current time step k.
  • A_k: the ocean surface at current time step k.
  • z: a vector of GMSL values used as knots for interpolation.
  • A: a vector of ocean surface values used as knots for interpolation.
  • A_itp: an interpolator of ocean surface over depth. Bias-free for present-day.
  • A_pd: the present-day ocean surface.
  • res: residual of the nonlinear equation solved numerically.

An osc::OceanSurfaceChange can be used as function to update osc.z_k and osc.A_k based on osc.A_itp and an input delta_V by running:

osc(delta_V)
source
FastIsostasy.FastIsoProblemType
FastIsoProblem(Omega, c, p, t_out)
 FastIsoProblem(Omega, c, p, t_out, Hice)
-FastIsoProblem(Omega, c, p, t_out, t_Hice, Hice)

Return a struct containing all the other structs needed for the forward integration of the model over Omega::ComputationDomain with parameters c::PhysicalConstants and p::LayeredEarth. The outputs are stored at t_out::Vector{<:AbstractFloat}.

source

Mechanics

FastIsostasy.step!Function
step!(fip)

Step fip::FastIsoProblem over tspan and based on ode::CoupledODEs, typically obtained by init.

source
FastIsostasy.update_diagnostics!Function
update_diagnostics!(dudt, u, fip, t)

Update all the diagnotisc variables, i.e. all fields of fip.now apart from the displacement, which requires an integrator.

source
FastIsostasy.lv_elva!Function
lv_elva!(dudt, u, fip, t)

Update the displacement rate dudt of the viscous response according to LV-ELVA.

source

Parameter inversion

FastIsostasy.InversionConfigType
InversionConfig

Struct containing configuration parameters for a [InversionProblem].

Need to choose regularization factor α ∈ (0,1], When you have enough observation data α=1: no regularization

update_freq 1 : approximate posterior cov matrix with an uninformative prior 0 : weighted average between posterior cov matrix with an uninformative prior and prior

source
FastIsostasy.InversionDataType
InversionData

Struct containing data (either observational or output of a golden standard model) for a [InversionProblem].

source
FastIsostasy.InversionProblemType
InversionProblem

Struct containing variables and configs for the inversion of Solid-Earth parameter fields. For now, only viscosity can be inverted but future versions will support lithosphere rigidity. For now, the unscented Kalman inversion is the only method available but ensemble Kalman inversion will be available in future.

source
FastIsostasy.solve!Method
solve!(paraminv::InversionProblem)

Return priors and ukiobj that allow to extract the results of the parameter inversion as initialized in paraminv.

source

Convenience

FastIsostasy.load_datasetFunction
load_dataset(name) → (dims), field, interpolator

Return the dims::Tuple{Vararg{Vector}}, the field<:Array and the interpolator corresponding to a data set defined by a unique name::String. For instance:

(lon180, lat, t), Hice, Hice_itp = load_dataset("ICE6G_D")

Following options are available for parameter fields:

  • "ICE6GD": ice loading history from ICE6GD.
  • "Wiens2022": viscosity field from (Wiens et al. 2022)
  • "Lithothickness_Pan2022": lithospheric thickness field from (Pan et al. 2022)
  • "Viscosity_Pan2022": viscosity field from (Pan et al. 2022)

Following options are available for model results:

  • "Spada2011"
  • "LatychevGaussian"
  • "LatychevICE6G"
source
FastIsostasy.write_out!Function
write_out!(fip::FastIsoProblem)

Write results in output vectors if the load is updated internally. If the load is updated externally, the user is responsible for writing results.

source
FastIsostasy.savefipFunction
savefip(filename, fip; T = Float32)

Save the output of fip::FastIsoProblem as NetCDF file under filename.

source
+FastIsoProblem(Omega, c, p, t_out, t_Hice, Hice)

Return a struct containing all the other structs needed for the forward integration of the model over Omega::ComputationDomain with parameters c::PhysicalConstants and p::LayeredEarth. The outputs are stored at t_out::Vector{<:AbstractFloat}.

source

Mechanics

FastIsostasy.solve!Method
solve!(fip)

Solve the isostatic adjustment problem defined in fip::FastIsoProblem.

source
FastIsostasy.initFunction
init(fip)

Initialize an ode::CoupledODEs, aimed to be used in step!.

source
FastIsostasy.step!Function
step!(fip)

Step fip::FastIsoProblem over tspan and based on ode::CoupledODEs, typically obtained by init.

source
FastIsostasy.update_diagnostics!Function
update_diagnostics!(dudt, u, fip, t)

Update all the diagnotisc variables, i.e. all fields of fip.now apart from the displacement, which requires an integrator.

source
FastIsostasy.lv_elva!Function
lv_elva!(dudt, u, fip, t)

Update the displacement rate dudt of the viscous response according to LV-ELVA.

source
FastIsostasy.update_elasticresponse!Function
update_elasticresponse!(fip::FastIsoProblem)

Update the elastic response by convoluting the Green's function with the load anom. To use coefficients differing from [Farrell1972], see FastIsoTools.

source

Parameter inversion

FastIsostasy.InversionConfigType
InversionConfig

Struct containing configuration parameters for a [InversionProblem].

Need to choose regularization factor α ∈ (0,1], When you have enough observation data α=1: no regularization

update_freq 1 : approximate posterior cov matrix with an uninformative prior 0 : weighted average between posterior cov matrix with an uninformative prior and prior

source
FastIsostasy.InversionDataType
InversionData

Struct containing data (either observational or output of a golden standard model) for a [InversionProblem].

source
FastIsostasy.InversionProblemType
InversionProblem

Struct containing variables and configs for the inversion of Solid-Earth parameter fields. For now, only viscosity can be inverted but future versions will support lithosphere rigidity. For now, the unscented Kalman inversion is the only method available but ensemble Kalman inversion will be available in future.

source
FastIsostasy.solve!Method
solve!(paraminv::InversionProblem)

Return priors and ukiobj that allow to extract the results of the parameter inversion as initialized in paraminv.

source

Convenience

FastIsostasy.load_datasetFunction
load_dataset(name) → (dims), field, interpolator

Return the dims::Tuple{Vararg{Vector}}, the field<:Array and the interpolator corresponding to a data set defined by a unique name::String. For instance:

(lon180, lat, t), Hice, Hice_itp = load_dataset("ICE6G_D")

Following options are available for parameter fields:

  • "ICE6GD": ice loading history from ICE6GD.
  • "Wiens2022": viscosity field from (Wiens et al. 2022)
  • "Lithothickness_Pan2022": lithospheric thickness field from (Pan et al. 2022)
  • "Viscosity_Pan2022": viscosity field from (Pan et al. 2022)

Following options are available for model results:

  • "Spada2011"
  • "LatychevGaussian"
  • "LatychevICE6G"
source
FastIsostasy.reinit_structs_cpuFunction
reinit_structs_cpu(Omega, p)

Reinitialize Omega::ComputationDomain and p::LayeredEarth on the CPU, mostly for post-processing purposes.

source
FastIsostasy.write_out!Function
write_out!(fip::FastIsoProblem)

Write results in output vectors if the load is updated internally. If the load is updated externally, the user is responsible for writing results.

source
FastIsostasy.savefipFunction
savefip(filename, fip; T = Float32)

Save the output of fip::FastIsoProblem as NetCDF file under filename.

source
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100644 --- a/dev/examples/glacialcycle/index.html +++ b/dev/examples/glacialcycle/index.html @@ -17,23 +17,22 @@ Colorbar(fig[1, 2], hm, height = Relative(0.6)) return fig end -niceheatmap(Tlitho)Example block output

In a similar way, we can load the log-viscosity field from (Pan et al., 2022) and plot it at about 300 km depth

(_, _, _), _, logeta_itp = load_logvisc_pan2022()
+niceheatmap(Tlitho)
Example block output

In a similar way, we can load the log-viscosity field from (Pan et al., 2022) and plot it at about 300 km depth

(_, _, _), _, logeta_itp = load_logvisc_pan2022()
 logeta300 = logeta_itp.(Lon, Lat, c.r_equator - 300e3)
-niceheatmap(logeta300)

The number of layers and the depth of viscous half-space are arbitrary parameters that have to be defined by the user. We here use a relatively shallow model (half-space begins at 300 km depth) with 1 equalisation layer and 3 intermediate layers:

mindepth = maximum(Tlitho) + 1e3
+niceheatmap(logeta300)
Example block output

The number of layers and the depth of viscous half-space are arbitrary parameters that have to be defined by the user. We here use a relatively shallow model (half-space begins at 300 km depth) with 1 equalisation layer and 3 intermediate layers:

mindepth = maximum(Tlitho) + 1e3
 lb_vec = range(mindepth, stop = 300e3, length = 3)
 lb = cat(Tlitho, [fill(lbval, Omega.Nx, Omega.Ny) for lbval in lb_vec]..., dims=3)
 
 rlb = c.r_equator .- lb
 nlb = size(rlb, 3)
-lv_3D = 10 .^ cat([logeta_itp.(Lon, Lat, rlb[:, :, k]) for k in 1:nlb]..., dims=3);
-nothing #hide

To prevent extreme values of the viscosity, we require it to be larger than a minimal value, fixed to be $ 10^{16} \, \mathrm{Pa \, s} $. We subsequently generate a LayeredEarth that embeds all the information that has been loaded so far:

eta_lowerbound = 1e16
+lv_3D = 10 .^ cat([logeta_itp.(Lon, Lat, rlb[:, :, k]) for k in 1:nlb]..., dims=3);

To prevent extreme values of the viscosity, we require it to be larger than a minimal value, fixed to be $ 10^{16} \, \mathrm{Pa \, s} $. We subsequently generate a LayeredEarth that embeds all the information that has been loaded so far:

eta_lowerbound = 1e16
 lv_3D[lv_3D .< eta_lowerbound] .= eta_lowerbound
 p = LayeredEarth(Omega, layer_boundaries = lb, layer_viscosities = lv_3D)
-niceheatmap(p.effective_viscosity)

We now load the ice thickness history from ICE6GD, again helped by the convenience of [`loaddataset`](@ref). We then create a vector of anomaly snapshots, between which FastIsostasy automatically interpolates linearly. To get an idea of ICE6G_D, the ice thickness anomaly is then visualised at LGM:

(lon, lat, t), Hice, Hitp = load_ice6gd()
+niceheatmap(p.effective_viscosity)
Example block output

We now load the ice thickness history from ICE6GD, again helped by the convenience of [`loaddataset`](@ref). We then create a vector of anomaly snapshots, between which FastIsostasy automatically interpolates linearly. To get an idea of ICE6G_D, the ice thickness anomaly is then visualised at LGM:

(lon, lat, t), Hice, Hitp = load_ice6gd()
 dHice = [Hitp.(Lon, Lat, tk) - Hitp.(Lon, Lat, minimum(t)) for tk in t]
-niceheatmap(Hitp.(Lon, Lat, -26) - Hitp.(Lon, Lat, 0))
Example block output

Finally, defining and solving the resulting FastIsoProblem is done by running:

tsec = years2seconds.(t .* 1e3)
+niceheatmap(Hitp.(Lon, Lat, -26) - Hitp.(Lon, Lat, 0))
Example block output

Finally, defining and solving the resulting FastIsoProblem is done by running:

tsec = years2seconds.(t .* 1e3)
 fip = FastIsoProblem(Omega, c, p, tsec, tsec, dHice)
-solve!(fip)     # gives fip.out.computation_time = 53 s

The computation time of this last step is less than a minute on a modern i7 (Intel i7-10750H CPU @ 2.60GHz). and for a resolution of 50 km resolution! We visualise three snapshots of displacements that roughly correspond to LGM, the end of the meltwater pulse 1A and the present-day:

tplot = [-26, -12, 0]
+solve!(fip)     # gives fip.out.computation_time = 53 s

The computation time of this last step is less than a minute on a modern i7 (Intel i7-10750H CPU @ 2.60GHz). and for a resolution of 50 km resolution! We visualise three snapshots of displacements that roughly correspond to LGM, the end of the meltwater pulse 1A and the present-day:

tplot = [-26, -12, 0]
 fig = Figure(size = (1800, 600))
 opts = ( colormap = :PuOr, colorrange = (-400, 400) )
 for k in eachindex(tplot)
@@ -44,4 +43,4 @@
     println(kfi)
 end
 Colorbar(fig[1, 4], height = Relative(0.6); opts...)
-fig

The displayed fields are displacement anomalies w.r.t. to the last interglacial, defined as the reference for the ice thickness anomalies. In Swierczek-Jereczek et al., GMD, in rev., these computations are performed on a finer grid, with an interactive sea level, and show great agreement with a 3D GIA model that runs between 10,000-100,000 slower (however at with advantage of obtaining a global and richer output). You can find this more comprehensive example in the /publication_v1.0 folder of the GitHub repository.

+figExample block output

The displayed fields are displacement anomalies w.r.t. to the last interglacial, defined as the reference for the ice thickness anomalies. In Swierczek-Jereczek et al., GMD, in rev., these computations are performed on a finer grid, with an interactive sea level, and show great agreement with a 3D GIA model that runs between 10,000-100,000 slower (however at with advantage of obtaining a global and richer output). You can find this more comprehensive example in the /publication_v1.0 folder of the GitHub repository.

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By performing a Kalman inversion, we can achieve a close match between ground truth and estimated viscosity field:

solve!(paraminv)
-fig2 = plot_viscfields(paraminv)
Example block output

This remains an academic example, where we try to recover a known parameter field from data generated by the model itself. Nonetheless, the user should get a proof-of-concept and a scheme of how to implement such a procedure themself.

+fig2 = plot_viscfields(paraminv)Example block output

This remains an academic example, where we try to recover a known parameter field from data generated by the model itself. Nonetheless, the user should get a proof-of-concept and a scheme of how to implement such a procedure themself.

diff --git a/dev/examples/tutorial/index.html b/dev/examples/tutorial/index.html index 24715df..26a5a30 100644 --- a/dev/examples/tutorial/index.html +++ b/dev/examples/tutorial/index.html @@ -78,4 +78,4 @@ opts = SolverOptions(deformation_model = :elra) fip = FastIsoProblem(Omega, c, p, t_out, t_Hice, Hice, opts = opts) solve!(fip) -fig = plot3D(fip, [lastindex(t_out) ÷ 2, lastindex(t_out)])Example block output +fig = plot3D(fip, [lastindex(t_out) ÷ 2, lastindex(t_out)])Example block output diff --git a/dev/fortran/index.html b/dev/fortran/index.html index 8b3f111..2637205 100644 --- a/dev/fortran/index.html +++ b/dev/fortran/index.html @@ -1,2 +1,2 @@ -Fortran version · FastIsostasy.jl

Fortran version

Since Julia does not allow compilation to binaries yet, some researchers might find it hard to couple FastIsostasy.jl to their favourite ice-sheet model. To tackle this, a Fortran version has been developed. It however lacks some features, which are summarised below:

  • Library of time-integration methods reduced to explicit Euler,
  • Only fixed time stepping allowed,
  • No inversion routines for the UKI,
  • Computation on GPU not supported.

These discrepancies are unlikely to be gapped in the future, mostly because the Fortran ecosystem is less extensive than the Julia one.

+Fortran version · FastIsostasy.jl

Fortran version

Since Julia does not allow compilation to binaries yet, some researchers might find it hard to couple FastIsostasy.jl to their favourite ice-sheet model. To tackle this, a Fortran version has been developed. It however lacks some features, which are summarised below:

  • Library of time-integration methods reduced to explicit Euler,
  • Only fixed time stepping allowed,
  • No inversion routines for the UKI,
  • Computation on GPU not supported.

These discrepancies are unlikely to be gapped in the future, mostly because the Fortran ecosystem is less extensive than the Julia one.

diff --git a/dev/index.html b/dev/index.html index 6b71f22..62fea22 100644 --- a/dev/index.html +++ b/dev/index.html @@ -1,3 +1,3 @@ FastIsostasy.jl · FastIsostasy.jl

FastIsostasy.jl

Fast and friendly glacial isostatic adjustment on CPU and GPU.

GlacialCycle

FastIsostasy is a friendly and flexible model that regionally computes the glacial isostatic adjustment (GIA) with laterally-variable mantle viscosity and lithospheric thickness. It is mainly adressed to ice-sheet modellers who seek for (1) a good representation of solid-Earth mechanics at virtually zero computational cost, (2) an approximation of the sea-level equation and (3) ready-to-use inversion tools to calibrate the model parameters to data. The simple interface of FastIsostasy allows to flexibly solve GIA problems within few lines of code. It is fully open-source under MIT license and was succesfully benchmarked against analytical, 1D GIA and 3D GIA model solutions.

FastIsostasy relies on a hybrid Fourier/finite-difference collocation of the problem introduced in (Cathles, 1975) and solved in (Lingle and Clark, 1985), (Bueler et al., 2007). Thanks to a simplification of the full problem from 3D to 2D space and the use of optimized software packages, running kiloyears of regional GIA with $\Delta x = \Delta y = 45 \, \mathrm{km}$ is a matter of seconds on a single CPU. For high resolution runs, the user can switch to GPU usage with minimal syntax change and enjoy the advantage of parallelization without requiring an HPC cluster. For GIA "purists", this package is likely to miss interesting processes but we belive that its ridiculous run-time can help to fast-prototype a problem before transfering it to a more comprehensive model.

Star us on GitHub!

If you have found this library useful, please consider starring it on GitHub. This gives us a lower bound of the satisfied user count.

Getting started

FastIsostasy.jl is a registered julia package. To install it, please run:

using Pkg
-Pkg.add("FastIsostasy")

How to read the docs?

If you want a quick introduction to GIA, please go to Quick intro to GIA. If you want to have a thorough but still accessbile introduction to GIA, we highly recommend reading (Whitehouse et al., 2019). If you want to get started right away, feel free to directly go to the Tutorial. If you face any problem using the code or want to know more about the functionalities of the package, visit the API reference. If you face a problem you cannot solve, please open a GitHub issue with a minimal and reproduceable example. We also welcome feature requests!

Julia ecosystem

FastIsostasy.jl was written thanks to the sheer amount of work that people invested in the vast and well-documented Julia ecosystem. Major help from packages deserves major appreciation, in particular for:

+Pkg.add("FastIsostasy")

How to read the docs?

If you want a quick introduction to GIA, please go to Quick intro to GIA. If you want to have a thorough but still accessbile introduction to GIA, we highly recommend reading (Whitehouse et al., 2019). If you want to get started right away, feel free to directly go to the Tutorial. If you face any problem using the code or want to know more about the functionalities of the package, visit the API reference. If you face a problem you cannot solve, please open a GitHub issue with a minimal and reproduceable example. We also welcome feature requests!

Julia ecosystem

FastIsostasy.jl was written thanks to the sheer amount of work that people invested in the vast and well-documented Julia ecosystem. Major help from packages deserves major appreciation, in particular for:

diff --git a/dev/introGIA/index.html b/dev/introGIA/index.html index 5fa8050..e100ce6 100644 --- a/dev/introGIA/index.html +++ b/dev/introGIA/index.html @@ -1,2 +1,2 @@ -Quick intro to GIA · FastIsostasy.jl

Quick intro to GIA

Glacial isostatic adjustment (GIA) denotes the crustal displacement that results from changes in the ice, liquid water and sediment columns, as well as associated changes in Earth's gravity and rotation axis, ultimately impacting the sea level. The magnitude and time scale of the deformational response depends on the applied load and on solid-Earth parameters, i.e. the mantle viscosity, the lithosphere thickness and their respective density. These parameters display a radial and sometimes also a lateral variability, further jointly denoted by parameter "heterogeneity". For further details, please refer to (Wiens et al., 2022) and (Ivins et al., 2022).

Why do we care?

GIA is known to present many feedbacks on ice-sheet evolution. Their net effect is negative, meaning that GIA inhibits ice-sheet growth and retreat. In other words, it tends to stabilize a given state and is therefore particularly important in the context of paleo-climate and climate change.

The speed and magnitude of anthropogenic warming is a potential threat to the Greenland and the West-Antarctic ice sheets. They both represent an ice volume that could lead to multi-meter sea-level rise. The effect of GIA in this context appears to be particularly relevant - not only from a theoretical but also from a practical perspective, as a large portion of human livelihoods are concentrated along coasts.

GIA models for ice-sheet simulation

GIA models present a wide range of complexity, which can only be briefly mentioned here. On the lower end, models such as the Elastic-Lithopshere/Viscous-Asthenopshere are cheap to run and easy to implement, which has made them popular within the ice-sheet modelling community. They present some acceptable limitations such as regionally approximating a global problem and lacking the radially layered structure of the solid Earth. However, some limitations have shown to be too important to be overlooked:

  1. The GIA response is independent of the load's wavelength.
  2. The heterogeneity of the lithospheric thickness and upper-mantle viscosity cannot be represented.
  3. Changes in sea-surface height due to changes in mass repartition are ignored.

On the higher end of the complexity spectrum, we find the 3D GIA models which address all the limitations of low-complexity models but are expensive to run, more tedious to couple to an ice-sheet model and generally lack a well-documented and open-source code base. Due to these drawbacks, they do not represent a standard tool within the ice-sheet modelling community. Although, they are becoming increasingly used, as for instance in (Gomez et al., 2018) and (Van Calcar et al., 2023), we believe that the expense of 3D GIA models can be avoided while still addressing the aforementioned limitations of simplistic models. Models specifically designed for ice-sheet modelling, such as (Bueler et al., 2007) and (Coulon et al., 2021), have shown first improvements in closing the gap between simplistic and expensive models. FastIsostasy continues this work by generalizing both of these contributions into one

We here omit to speak about other GIA models, since they lack the representation of heterogeneous solid-Earth parameters.

FastIsosatsy.jl in the model hierarchy

FastIsostasy is capable of regionally reproducing the behaviour of a 3D GIA model at a computational cost that is reduced by 3 to 5 orders of magnitude. It relies on LV-ELVA, a generalisation of (Bueler et al., 2007; Coulon et al., 2021), and on the Regional Sea-Level Model (ReSeLeM).

FastIsostasy heavily relies on the Fast-Fourier Transform (FFT), as (1) its central PDE is solved by applying a Fourier collocation scheme and (2) important diagnostic fields are computed by matrix convolutions which can famously be accelerated by the use of FFT. FFT therefore inspired the name "FastIsostasy", along with a GitHub repository that eased the first steps of this package. The use of a performant language such as julia, as well as supporting performance-relevant computations on GPU allows FastIsostasy to live up to the expectations of low computation time.

We believe that FastIsostasy drastically reduces the burdens associated with using a 3D GIA model while offering all the complexity needed for ice-sheet modelling. As targeted and efficient climate-change mitigation relies on a good representation of important mechanisms in numerical models, we believe that this can be a significant contribution for future research.

+Quick intro to GIA · FastIsostasy.jl

Quick intro to GIA

Glacial isostatic adjustment (GIA) denotes the crustal displacement that results from changes in the ice, liquid water and sediment columns, as well as associated changes in Earth's gravity and rotation axis, ultimately impacting the sea level. The magnitude and time scale of the deformational response depends on the applied load and on solid-Earth parameters, i.e. the mantle viscosity, the lithosphere thickness and their respective density. These parameters display a radial and sometimes also a lateral variability, further jointly denoted by parameter "heterogeneity". For further details, please refer to (Wiens et al., 2022) and (Ivins et al., 2022).

Why do we care?

GIA is known to present many feedbacks on ice-sheet evolution. Their net effect is negative, meaning that GIA inhibits ice-sheet growth and retreat. In other words, it tends to stabilize a given state and is therefore particularly important in the context of paleo-climate and climate change.

The speed and magnitude of anthropogenic warming is a potential threat to the Greenland and the West-Antarctic ice sheets. They both represent an ice volume that could lead to multi-meter sea-level rise. The effect of GIA in this context appears to be particularly relevant - not only from a theoretical but also from a practical perspective, as a large portion of human livelihoods are concentrated along coasts.

GIA models for ice-sheet simulation

GIA models present a wide range of complexity, which can only be briefly mentioned here. On the lower end, models such as the Elastic-Lithopshere/Viscous-Asthenopshere are cheap to run and easy to implement, which has made them popular within the ice-sheet modelling community. They present some acceptable limitations such as regionally approximating a global problem and lacking the radially layered structure of the solid Earth. However, some limitations have shown to be too important to be overlooked:

  1. The GIA response is independent of the load's wavelength.
  2. The heterogeneity of the lithospheric thickness and upper-mantle viscosity cannot be represented.
  3. Changes in sea-surface height due to changes in mass repartition are ignored.

On the higher end of the complexity spectrum, we find the 3D GIA models which address all the limitations of low-complexity models but are expensive to run, more tedious to couple to an ice-sheet model and generally lack a well-documented and open-source code base. Due to these drawbacks, they do not represent a standard tool within the ice-sheet modelling community. Although, they are becoming increasingly used, as for instance in (Gomez et al., 2018) and (Van Calcar et al., 2023), we believe that the expense of 3D GIA models can be avoided while still addressing the aforementioned limitations of simplistic models. Models specifically designed for ice-sheet modelling, such as (Bueler et al., 2007) and (Coulon et al., 2021), have shown first improvements in closing the gap between simplistic and expensive models. FastIsostasy continues this work by generalizing both of these contributions into one

We here omit to speak about other GIA models, since they lack the representation of heterogeneous solid-Earth parameters.

FastIsosatsy.jl in the model hierarchy

FastIsostasy is capable of regionally reproducing the behaviour of a 3D GIA model at a computational cost that is reduced by 3 to 5 orders of magnitude. It relies on LV-ELVA, a generalisation of (Bueler et al., 2007; Coulon et al., 2021), and on the Regional Sea-Level Model (ReSeLeM).

FastIsostasy heavily relies on the Fast-Fourier Transform (FFT), as (1) its central PDE is solved by applying a Fourier collocation scheme and (2) important diagnostic fields are computed by matrix convolutions which can famously be accelerated by the use of FFT. FFT therefore inspired the name "FastIsostasy", along with a GitHub repository that eased the first steps of this package. The use of a performant language such as julia, as well as supporting performance-relevant computations on GPU allows FastIsostasy to live up to the expectations of low computation time.

We believe that FastIsostasy drastically reduces the burdens associated with using a 3D GIA model while offering all the complexity needed for ice-sheet modelling. As targeted and efficient climate-change mitigation relies on a good representation of important mechanisms in numerical models, we believe that this can be a significant contribution for future research.

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