NRHJSur3dq8
A surrogate model for gravitational waves from non-eccentric, aligned-spin binary black hole mergers, trained on numerical relativity.
It is built on a Hamilton-Jacobi (action-angle) representation of the binary dynamics: the orbital phase rather than time is the independent coordinate, so simulations of different lengths simply occupy different phase ranges. The waveform is carried in hp-adaptive spectral elements and evaluated either in NumPy or through a compiled Kokkos kernel.
Documentation: https://psu-edu.github.io/nrhjsurrogate/
Range of validity. Non-eccentric orbits, mass ratio 1 to 8, aligned spin components within 0.8 in magnitude. Seven modes: (2,2), (2,1), (3,3), (3,2), (4,4), (4,3), (5,5).
Install
pip install nrhjsurrogate
Every dependency resolves from PyPI. Installing the source distribution also
builds the compiled evaluator, fetching Kokkos if it is not already on the
system; if that compile cannot run, the install still succeeds and the model
falls back to NumPy and says so. NRHJ_BUILD_KOKKOS=0 skips the compile,
=1 requires it.
NRHJ_BACKEND chooses what gets compiled, independently of whether:
NRHJ_BACKEND=openmp pip install --no-binary nrhjsurrogate nrhjsurrogate
NRHJ_BACKEND=cuda NRHJ_CUDA_ARCH=sm_75 \
pip install --no-binary nrhjsurrogate nrhjsurrogate
auto (default) takes OpenMP when the compiler has it; numpy skips the
compile; serial forces a single-threaded build; openmp makes a missing
OpenMP a build error instead of a silent Serial build; cuda adds the device
backend and needs NRHJ_CUDA_ARCH. After any install,
python -m nrhjsurrogate.compiled_backend says what you actually got, and the
first import after installing says it once by itself. See
INSTALL.md sections 1b, 3 and 5 for the detail.
The model files are not in the package. They are distributed separately
and located at run time, in order: an explicit path, then $NRHJ_MODEL_DIR,
then the directories on $LAL_DATA_PATH, then a per-user cache. A miss
raises FileNotFoundError naming the file, its SHA-256 and how to get it.
Nothing degrades silently. If nothing on that list has a released model you
named, the package downloads it into the per-user cache and checks its
SHA-256 before using it; NRHJ_AUTO_FETCH=0 turns that off, and
nrhjsurrogate.fetch_model does the same thing explicitly.
A first waveform
from nrhjsurrogate import NRHJSurAA
model = NRHJSurAA.load_h5("NRHJSur3dq8_AA_v3")
# geometric units: time in M, modes as r h_lm / M
times, modes = model.get_td_waveform_modes_geometric(4.0, 0.3, -0.2)
# physical units, LAL spelling: the two polarizations
h_plus, h_cross = model.get_td_waveform(
mass1=40.0, mass2=10.0, spin1z=0.3, spin2z=-0.2,
delta_t=1.0 / 4096.0, f_min=30.0, inclination=0.7, distance=400.0)
Then check the installation against shipped reference values:
nrhjsur-verify
Beyond waveforms the model serves analytic parameter derivatives, its own
predictive uncertainty, post-Newtonian extension below the stored inspiral,
the orbital dynamics and the remnant mass and spin. The runnable examples in
examples/usage/ take one capability each, and 00_walkthrough.ipynb is a
guided tour of the main ones.
The public import surface
Everything you are meant to use is importable straight from the package:
from nrhjsurrogate import NRHJSurAA (and NRHJSurAdA, AABatch,
AAHMCLikelihood, InnerProduct, fetch_model, and more; dir(nrhjsurrogate)
lists them). The submodule layout underneath, driver/, physics/,
execution/, numerical_methods/, is internal and may be rearranged in any
release. Import from the top level and a reorganisation cannot reach you;
import nrhjsurrogate.driver.something and it can.
Importing the package also sets OMP_PROC_BIND=close and OMP_PLACES=cores
unless you have chosen otherwise; INSTALL.md gives the measured basis, the
caveats and the off switch.
What is released
Two model flavours, both 3dq8, meaning aligned-spin (q, chi1z, chi2z) with
q up to 8, matching the NRHybSur3dq8 convention. Both are built on the
N2 numerical-relativity extrapolation, which the names do not encode and
each file records as the root attribute extrapolation = "N2".
| file | what it is |
|---|---|
NRHJSur3dq8_AA_v3 |
action-angle inspiral. The default. |
NRHJSur3dq8_AdA_v3 |
adiabatic-angle inspiral, 14 elements |
NRHJSur3dq8_MR_v3 |
the merger-ringdown arm both v3 inspirals name |
NRHJSur3dq8_AA_v2 |
previous generation |
NRHJSur3dq8_AdA_v2 |
previous generation |
NRHJSur3dq8_MR_v2 |
previous generation |
The inspiral files are de-embedded: each composes at load with the shared merger-ringdown arm it names, resolved by name and checked by content digest, so a crossed pair is refused rather than served. The version digit is the generation, not a patch level. Both generations are deposited; v3 is the default and v2 still loads by name.
The two flavours agree closely, and not by coincidence: the coordinates that give the adiabatic-angle model its structure were identified from the action-angle model's post-Newtonian normalizer.
How it works
- Slow variables. Each waveform is decomposed into a fast angle variable (the orbital phase) and slowly evolving action-like variables (a frequency parameter, co-orbital-frame amplitudes). The orbital phase, not time, is the independent coordinate.
- Frames and conventions. SXS extrapolated strain, centre-of-mass
corrected, output in LAL conventions, round-trip validated against
NRHybSur3dq8through LALSimulation. - Domain decomposition. Spectral elements both across the parameter space and along the phase coordinate, with a dedicated merger-ringdown element where adiabaticity breaks.
- Spectral representation. Chebyshev elements in phase, with regression onto spectral bases over the scattered simulation parameters. Accuracy is controlled by h- and p-refinement.
- Compiled evaluator. The evaluator is a Kokkos C++ kernel batched over parameter points and exposed through pybind11.
- Variable lengths. Handled natively by the phase coordinate and the element decomposition: elements exist only where data exists.
Scope of the distribution
The distribution ships evaluation code only: what turns a frozen model file into a waveform, and nothing that builds one. There is no public source repository. The code is distributed through PyPI and the model files through Zenodo, https://doi.org/10.5281/zenodo.22262339.
Licence
From version 1.1 this software is dual-licensed:
- Noncommercial use — research, teaching, personal projects — is free and needs no permission, under the PolyForm Noncommercial License 1.0.0 with an additional term on machine-learning training. See LICENSE.
- Commercial use requires a separate licence, available from the author on request. See NOTICE.
Using the source or documentation as training data for general-purpose code or language models is not permitted. Building an emulator or reduced-order model of the waveforms this software produces is ordinary research use and is fine — see NOTICE for the distinction.
Citation metadata is in CITATION.cff; please cite the paper.
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