Gplates
gplates
ScalarFieldConnector(source, output, *, mesh=None, interpolation=None, gc_collect_frequency=10)
Composition of a Source and an OutputStrategy into a single time- varying scalar field on a mesh.
Construction validates output.requires <= source.provides; this
catches the obvious mis-pairings (e.g. PolygonSource + GeothermERFOutput,
which needs "age") at the point of wiring rather than at the first
get_indicator call.
Two consumers (e.g. an indicator and a geotherm) that share the same
Source instance see a single, coherent advance of the source's
underlying state per geological age — the source's per-age cache
enforces that, so the order of get_indicator calls between
consumers is immaterial.
gc_collect_frequency controls how often a full gc.collect() runs
in the update loop (every Nth get_indicator). The default of 10
matches gtrack's own internal GC cadence and periodically breaks the
pygplates C++ reference cycles without paying a collection on every call.
Set it to None to disable the connector-level collect entirely (relying
on gtrack's internal collect plus Python's automatic generational GC) when
GC is documented as hot and confirmed memory stays bounded; set it to
1 for a lithosphere spin-up or very-long adjoint run where the
connector is driven for thousands of ages and the tightest bound on C++
cycle accumulation is wanted (the per-call cost is negligible there against
the per-age step_to).
Source code in g-adopt/gadopt/gplates/connectors.py
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get_indicator(target_coords, ndtime)
Evaluate the scalar field at target_coords for time ndtime.
Source code in g-adopt/gadopt/gplates/connectors.py
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InterpolationConfig(kernel='idw', k_neighbors=50, distance_threshold=0.1, gaussian_sigma=0.04)
dataclass
Spherical kNN-interpolation knobs.
The interpolation step normalises both source and target points to the
unit sphere, builds a cKDTree over sources, queries k_neighbors
nearest neighbours per target node, and computes a weighted average
using either inverse-distance ("idw") or Gaussian ("gaussian")
weights.
Target nodes whose nearest source seed is farther than
distance_threshold (in radians on the unit sphere) are flagged as
too_far and handled by the OutputStrategy (which decides whether
to fill with a default thickness, switch to mantle temperature, etc).
Defaults: 0.1 rad ≈ 640 km — generous; tighten to e.g. 0.02 rad
(~127 km) for sharper boundaries. For polygon sources where the
boundary is encoded by zero-thickness halo seeds, the threshold
degenerates into a pathological-query guard and the actual roll-off
length is controlled by gaussian_sigma instead.
GplatesScalarFunction(function_space, *args, indicator_connector=None, name=None, **kwargs)
Bases: Function
Firedrake Function for scalar indicator/geotherm fields from plate reconstructions.
Wraps any ScalarFieldConnector (built either directly via composition
of a Source and an OutputStrategy, or via one of the convenience
factories lithosphere_indicator, lithosphere_geotherm,
polygon_indicator, polygon_geotherm). Calling
update_plate_reconstruction(ndtime) recomputes the field and assigns
it onto the underlying Firedrake DoFs.
Only scalar function spaces are supported — vector / tensor elements raise at construction time.
Source code in g-adopt/gadopt/gplates/gplates.py
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update_plate_reconstruction(ndtime)
Recompute and assign the field for the given non-dimensional time.
Skipped silently when the requested age is within delta_t of the
last computed age (the connector's own cache would short-circuit
anyway; this just avoids paying for the collective MPI dance).
Source code in g-adopt/gadopt/gplates/gplates.py
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GplatesVelocityFunction(function_space, *args, gplates_connector=None, top_boundary_marker='top', quad_degree=None, solver_parameters=None, **kwargs)
Bases: GPlatesFunctionalityMixin, SolverConfigurationMixin, Function
Extends firedrake.Function to incorporate velocities calculated by
Gplates, coming from plate tectonics reconstruction.
GplatesVelocityFunction is designed to associate a Firedrake function with a GPlates
connector, allowing the integration of plate tectonics reconstructions. This is particularly
useful when setting "top" boundary condition for the Stokes systems when performing
data assimilation (sequential or adjoint). Note that we subtract the radial component of the velocity
field to ensure that the velocity field is tangential to the surface in a FEM sense.
Attributes:
| Name | Type | Description |
|---|---|---|
dbc |
DirichletBC
|
A Dirichlet boundary condition that applies the function only to the top boundary. |
boundary_coords |
ndarray
|
The coordinates of the function located at the "top" boundary, normalised, so that it is meaningful for PyGPlates. |
gplates_connector |
The GPlates connector instance used for fetching plate tectonics data. |
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
function_space
|
The function space on which the GplatesVelocityFunction is defined. |
required | |
gplates_connector
|
An instance of a pyGplatesConnector, used to integrate GPlates functionality or data. See Documentation for pyGplatesConnector. |
None
|
|
top_boundary_marker
|
defaults to "top"
|
marker for the top boundary. |
'top'
|
val
|
optional
|
Initial values for the function. Defaults to None. |
required |
name
|
str
|
Name for the function. Defaults to None. |
required |
dtype
|
data type
|
Data type for the function. Defaults to ScalarType. |
required |
quad_degree
|
int
|
Quadrature degree for the surface measure. If None, defaults to 2 * element_degree + 1. |
None
|
solver_parameters
|
dict
|
Solver parameters for the tangential projection solver. If provided, these will be merged with the default parameters. If None, uses default parameters. |
None
|
kwargs
|
dict
|
Additional keyword arguments passed to the Firedrake Function. |
{}
|
Methods:
| Name | Description |
|---|---|
update_plate_reconstruction |
Updates the function values based on plate velocities from GPlates for a given model time. Note model time is non-dimensionalised |
Examples:
>>> gplates_function = GplatesVelocityFunction(V,
... gplates_connector=pl_rec_model,
... name="GplateVelocity")
>>> gplates_function.update_plate_reconstruction(ndtime=0.0)
Source code in g-adopt/gadopt/gplates/gplates.py
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setup_solver()
Set up the linear variational solver for removing radial component.
Source code in g-adopt/gadopt/gplates/gplates.py
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remove_radial_component()
Project velocity to tangent plane by removing radial component using linear variational solver.
This method uses a pre-built linear variational solver for efficiency, avoiding the overhead of rebuilding the projection operator each time.
Source code in g-adopt/gadopt/gplates/gplates.py
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PlateModelFiles(continental_polygons=None, static_polygons=None)
dataclass
Plate-model polygon file paths for the indicator/geotherm Sources.
Owned by the user and passed to LithosphereSource / PolygonSource. These files drive the continental filtering and plate-id assignment that the Sources need; they are not used by the velocity reconstruction, so they live here rather than on pyGplatesConnector.
pyGplatesConnector(rotation_filenames, topology_filenames, oldest_age, delta_t=1.0, scaling_factor=1.0, nseeds=100000.0, nneighbours=4, kappa=1e-06)
Bases: object
An interface to PyGPlates, used for updating top Dirichlet boundary conditions using plate tectonic reconstructions.
This class provides functionality to assign plate velocities at different geological ages to the boundary conditions specified with dbc. Due to potential challenges in identifying the plate id for a given point with PyGPlates, especially in high-resolution simulations, this interface employs a method of calculating velocities at a number of equidistant points on a sphere. It then interpolates these velocities for points assigned a plate id. A warning is raised for any point not assigned a plate id.
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
rotation_filenames
|
Union[str, List[str]]
|
Collection of rotation file names for PyGPlates. |
required |
topology_filenames
|
Union[str, List[str]]
|
Collection of topology file names for PyGPlates. |
required |
oldest_age
|
float
|
The oldest age present in the plate reconstruction model. |
required |
delta_t
|
Optional[float]
|
The t window range outside which plate velocities are updated. |
1.0
|
scaling_factor
|
Optional[float]
|
Scaling factor for surface velocities. |
1.0
|
nseeds
|
Optional[int]
|
Number of seed points used in the Fibonacci sphere generation. Higher seed point numbers result in finer representation of boundaries in pygpaltes. Notice that the finer velocity variations will then result in more challenging Stokes solves. |
100000.0
|
nneighbours
|
Optional[int]
|
Number of neighbouring points when interpolating velocity for each grid point. Default is 4. |
4
|
kappa
|
(Optional[float]): Diffusion constant used for don-dimensionalising time. Default is 1e-6. |
1e-06
|
Examples:
>>> connector = pyGplatesConnector(rotation_filenames, topology_filenames, oldest_age)
>>> connector.get_plate_velocities(ndtime=100)
Source code in g-adopt/gadopt/gplates/gplates.py
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velocity_non_dim_factor
property
u [metre/sec] * velocity_non_dim_factor = u []
time_dim_factor
property
d^2/kappa
t [] X time_dim_factor = t [sec]
time_dimDmyrs2sec
property
Converts the time dimension factor from Myrs (million years) to seconds.
This method calculates the conversion factor to transform time values
from Myrs to seconds using the predefined time_dim_factor and the
constant myrs2sec from the pyGplatesConnector module.
Returns:
| Name | Type | Description |
|---|---|---|
float |
The time dimension factor in seconds. |
velocity_dimDcmyr
property
Converts velocity from cm/year to non-dimensionalised units.
Returns:
| Name | Type | Description |
|---|---|---|
float |
The conversion factor for velocity. |
get_plate_velocities(target_coords, ndtime)
Returns plate velocities for the specified target coordinates at the top boundary of a sphere, for a given non-dimensional time, by integrating plate tectonic reconstructions from PyGPlates.
This method calculates new plate velocities. It utilizes the cKDTree data structure for efficient nearest neighbor searches to interpolate velocities onto the mesh nodes.
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
target_coords
|
array - like
|
Coordinates of the points at the top of the sphere. |
required |
ndtime
|
float
|
The non-dimensional time for which plate velocities are to be calculated and assigned. This time is converted to geological age and used to extract relevant plate motions from the PyGPlates model. |
required |
Raises:
| Type | Description |
|---|---|
Exception
|
If the requested ndt ime is a negative age (in the future), indicating an issue with the time conversion. |
Notes
- The method uses conversions between non-dimensionalised time and geologic age.
- Velocities are non-dimensionalised and scaled for the simulation before being applied.
Source code in g-adopt/gadopt/gplates/gplates.py
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ndtime2age(ndtime)
Converts non-dimensionalised time to age (Myrs before present day).
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
ndtime
|
float
|
The non-dimensionalised time to be converted. |
required |
Returns:
| Name | Type | Description |
|---|---|---|
float |
The converted geologic age in millions of years before present day(Ma). |
Source code in g-adopt/gadopt/gplates/gplates.py
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age2ndtime(age)
Converts geologic age (years before present day in Myrs (Ma) to non-dimensionalised time.
Args:
age (float): geologic age (before present day in Myrs)
Returns:
- float: non-dimensionalised time
Source code in g-adopt/gadopt/gplates/gplates.py
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MeshConfig(r_outer=2.208, depth_scale=2890.0)
dataclass
Non-dimensional mesh geometry shared by every output that converts radius to physical depth.
r_outer is the radial coordinate of Earth's surface in mesh units
(default 2.208 for an Earth-like spherical shell with r_inner=1.208).
depth_scale is the physical depth (km) per non-dimensional unit
(default 2890 — the mantle's depth ratio).
OutputStrategy
Bases: ABC
Map interpolated source arrays at target coords to a scalar field.
Subclasses declare requires — the set of source-dict keys (excluding
"xyz") they read from. The connector validates
output.requires <= source.provides at construction time.
compute(interpolated, r_target, too_far, mesh)
abstractmethod
Return the scalar field at the target points.
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
interpolated
|
dict[str, ndarray]
|
dict of arrays, one per key in |
required |
r_target
|
ndarray
|
norms of target coords (one value per target node). |
required |
too_far
|
ndarray
|
boolean mask; True where no source seed is within
|
required |
mesh
|
MeshConfig
|
mesh geometry for radius↔depth conversion. |
required |
Source code in g-adopt/gadopt/gplates/outputs.py
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Source
Bases: ABC
Time-dependent source of (xyz, properties) on a sphere.
Subclasses expose a provides set listing the property keys (excluding
"xyz") that prepare(age) returns. provides is declared here as an
abstract property, which a subclass may satisfy either with a plain class
constant (the concrete sources do this, keeping class-level access like
LithosphereSource.provides) or with an instance property (handy for
test doubles and dynamically-configured sources). The ABC implements a
per-age cache so that consumers sharing this Source can call prepare
in any order and the underlying gtrack state advances at most once per
age.
prepare is collective across self.comm. Subclasses implement
_compute_sources(age), which runs on rank 0 only; the ABC handles
broadcast and caching.
provides
abstractmethod
property
The set of property keys (excluding 'xyz') that prepare(age) returns.
prepare(age)
Return source arrays at age (collective across self.comm).
Source code in g-adopt/gadopt/gplates/sources.py
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get_or_build_geometry(key, build_fn)
Return the cached interpolation-geometry bundle for key, building
it via build_fn() on a miss.
The cache is rank-local and keyed on
(target_coords content hash, id(interpolation_config)); the
connector owns the geometry math (build_fn) while the source owns
the cache so siblings sharing this source reuse one build. Cleared by
prepare whenever the source cloud advances to a new age.
Source code in g-adopt/gadopt/gplates/sources.py
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validate_age(age)
Raise if age is outside the plate model's range.
Subclasses with extra state (e.g. forward-only ocean trackers) may override to add further checks. Called by ScalarFieldConnector before prepare().
Source code in g-adopt/gadopt/gplates/sources.py
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