W7-X Neutronics Showcase¶
Basalt-generated tetrahedral mesh of the public Wendelstein 7-X stellarator fixture (plasma vessel and planar coils) — the artifact this notebook builds. See the W7-X neutronics tutorial rendered on Read the Docs.
End-to-end demonstration of basalt’s role in a fusion neutronics workflow. We take the Proxima Fusion W7-X stellarator fixture (Parasolid input), produce a tetrahedral mesh annotated for DAGMC, convert it through stellarmesh, then run an OpenMC fixed-source DT-neutron calculation against four tallies.
Prerequisites:
a working basalt install (requires a Simmetrix SimModSuite license and the corresponding module tarballs — see install)
the W7-X fixture at
tests/data/scaled_w7x_stellarator.x_t(LFS-tracked, MIT)
Note — fixture scale. The Proxima
open_stellarator_modelsfixture has a known upstream scale-loss bug (proximafusion/open_stellarator_models#4): the model was authored as a power-plant-scale stellarator (~34 m extent) but exported with numeric values 1000× smaller. We compensate by passingscale_factor=1e5at gmsh-export time.
[ ]:
import logging
import os
import tempfile
from pathlib import Path
import numpy as np
import openmc
import openmc.stats
import pyvista as pv
import stellarmesh as sm
from IPython.display import Image, display
import basalt as bslt
# Fail fast if OpenMC has no cross-section data configured. The notebook's
# `openmc.run()` step would otherwise fail 20+ minutes in after the meshing
# pipeline is done. Set OPENMC_CROSS_SECTIONS to a cross_sections.xml path
# (e.g. ENDF/B-VIII.0) before running. See:
# https://docs.openmc.org/en/stable/usersguide/cross_sections.html
if not os.environ.get("OPENMC_CROSS_SECTIONS"):
raise RuntimeError(
"OPENMC_CROSS_SECTIONS is not set. Point it at a cross_sections.xml "
"(e.g. ENDF/B-VIII.0) before running this notebook."
)
logging.basicConfig()
for name in ("basalt", "stellarmesh"):
logging.getLogger(name).setLevel(logging.INFO)
pv.set_jupyter_backend("static")
tmpdir = Path(tempfile.mkdtemp(prefix="w7x_neutronics_"))
print(f"Scratch directory: {tmpdir}")
Scratch directory: /tmp/w7x_neutronics_4n3dw1z4
/home/alex/Programming/phnx/.claude/worktrees/d-resume/.pixi/envs/default/lib/python3.12/site-packages/pymoab/__init__.py:21: UserWarning: pkg_resources is deprecated as an API. See https://setuptools.pypa.io/en/latest/pkg_resources.html. The pkg_resources package is slated for removal as early as 2025-11-30. Refrain from using this package or pin to Setuptools<81.
from pkg_resources import get_distribution, DistributionNotFound
Stage 1 — Load the W7-X assembly¶
basalt reads the Parasolid (.x_t) export of the W7-X model along with its NX-attribute sidecar JSON. The sidecar carries the body centroids and DB_PART_NAME attributes that basalt uses to populate material= slugs in the output mesh — see the format reference for the resolution rules.
[2]:
fixture = Path("../../../tests/data/scaled_w7x_stellarator.x_t").resolve()
assert fixture.exists(), f"Fixture not found: {fixture}"
model = bslt.Model.from_parasolid_file(str(fixture), load_nx_attrs=True)
bslt.print_hierarchy(model)
[debug] Loading Parasolid file.
Assembly: <unnamed>
Assembly: plasma_step
Part: <unnamed>
Region: <unnamed>
Assembly: gap_step
Part: <unnamed>
Region: <unnamed>
Assembly: coils
Assembly: coil_0_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_1_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_2_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_3_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_4_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_5_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_6_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_7_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_8_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_9_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_10_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_11_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_12_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_13_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_14_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_15_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_16_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_17_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_18_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_19_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_20_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_21_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_22_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_23_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_24_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_25_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_26_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_27_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_28_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_29_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_30_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_31_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_32_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_33_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_34_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_35_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_36_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_37_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_38_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_39_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_40_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_41_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_42_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_43_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_44_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_45_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_46_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_47_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_48_step
Part: <unnamed>
Region: <unnamed>
Assembly: coil_49_step
Part: <unnamed>
Region: <unnamed>
Assembly: blanket_module
Assembly: vessel_step
Part: <unnamed>
Region: <unnamed>
Assembly: blanket_step
Part: <unnamed>
Region: <unnamed>
Assembly: firstwall_step
Part: <unnamed>
Region: <unnamed>
[debug] Creating GAM assembly model.
[debug] Loading NX attributes from /home/alex/Programming/phnx/.claude/worktrees/d-resume/tests/data/scaled_w7x_stellarator_attrs.json
[info] Loaded 55 body centroid(s) from sidecar for matching
[debug] Matched part at (0.000, -0.000, -0.000) to component 'PLASMA' (dist=0.0000)
[debug] Matched part at (-0.000, 0.000, -0.000) to component 'BLANKET' (dist=0.0000)
[debug] Matched part at (0.015, 0.001, 0.000) to component 'COIL_0' (dist=0.0000)
[debug] Matched part at (0.014, 0.002, 0.000) to component 'COIL_1' (dist=0.0000)
[debug] Matched part at (0.013, 0.004, 0.001) to component 'COIL_2' (dist=0.0000)
[debug] Matched part at (0.012, 0.006, 0.000) to component 'COIL_3' (dist=0.0000)
[debug] Matched part at (0.011, 0.007, 0.000) to component 'COIL_4' (dist=0.0000)
[debug] Matched part at (0.010, 0.009, -0.000) to component 'COIL_5' (dist=0.0000)
[debug] Matched part at (0.009, 0.010, -0.000) to component 'COIL_6' (dist=0.0000)
[debug] Matched part at (0.008, 0.012, -0.001) to component 'COIL_7' (dist=0.0000)
[debug] Matched part at (0.007, 0.013, -0.000) to component 'COIL_8' (dist=0.0000)
[debug] Matched part at (0.005, 0.014, -0.000) to component 'COIL_9' (dist=0.0000)
[debug] Matched part at (0.004, 0.014, 0.000) to component 'COIL_10' (dist=0.0000)
[debug] Matched part at (0.002, 0.014, 0.000) to component 'COIL_11' (dist=0.0000)
[debug] Matched part at (0.000, 0.014, 0.001) to component 'COIL_12' (dist=0.0000)
[debug] Matched part at (-0.001, 0.014, 0.000) to component 'COIL_13' (dist=0.0000)
[debug] Matched part at (-0.003, 0.013, 0.000) to component 'COIL_14' (dist=0.0000)
[debug] Matched part at (-0.005, 0.012, -0.000) to component 'COIL_15' (dist=0.0000)
[debug] Matched part at (-0.007, 0.012, -0.000) to component 'COIL_16' (dist=0.0000)
[debug] Matched part at (-0.009, 0.011, -0.001) to component 'COIL_17' (dist=0.0000)
[debug] Matched part at (-0.010, 0.010, -0.000) to component 'COIL_18' (dist=0.0000)
[debug] Matched part at (-0.011, 0.009, -0.000) to component 'COIL_19' (dist=0.0000)
[debug] Matched part at (-0.012, 0.008, 0.000) to component 'COIL_20' (dist=0.0000)
[debug] Matched part at (-0.013, 0.006, 0.000) to component 'COIL_21' (dist=0.0000)
[debug] Matched part at (-0.013, 0.005, 0.001) to component 'COIL_22' (dist=0.0000)
[debug] Matched part at (-0.013, 0.003, 0.000) to component 'COIL_23' (dist=0.0000)
[debug] Matched part at (-0.013, 0.001, 0.000) to component 'COIL_24' (dist=0.0000)
[debug] Matched part at (-0.013, -0.001, -0.000) to component 'COIL_25' (dist=0.0000)
[debug] Matched part at (-0.013, -0.003, -0.000) to component 'COIL_26' (dist=0.0000)
[debug] Matched part at (-0.013, -0.005, -0.001) to component 'COIL_27' (dist=0.0000)
[debug] Matched part at (-0.013, -0.006, -0.000) to component 'COIL_28' (dist=0.0000)
[debug] Matched part at (-0.012, -0.008, -0.000) to component 'COIL_29' (dist=0.0000)
[debug] Matched part at (-0.011, -0.009, 0.000) to component 'COIL_30' (dist=0.0000)
[debug] Matched part at (-0.010, -0.010, 0.000) to component 'COIL_31' (dist=0.0000)
[debug] Matched part at (-0.009, -0.011, 0.001) to component 'COIL_32' (dist=0.0000)
[debug] Matched part at (-0.007, -0.012, 0.000) to component 'COIL_33' (dist=0.0000)
[debug] Matched part at (-0.005, -0.012, 0.000) to component 'COIL_34' (dist=0.0000)
[debug] Matched part at (-0.003, -0.013, -0.000) to component 'COIL_35' (dist=0.0000)
[debug] Matched part at (-0.001, -0.014, -0.000) to component 'COIL_36' (dist=0.0000)
[debug] Matched part at (0.000, -0.014, -0.001) to component 'COIL_37' (dist=0.0000)
[debug] Matched part at (0.002, -0.014, -0.000) to component 'COIL_38' (dist=0.0000)
[debug] Matched part at (0.004, -0.014, -0.000) to component 'COIL_39' (dist=0.0000)
[debug] Matched part at (0.005, -0.014, 0.000) to component 'COIL_40' (dist=0.0000)
[debug] Matched part at (0.007, -0.013, 0.000) to component 'COIL_41' (dist=0.0000)
[debug] Matched part at (0.008, -0.012, 0.001) to component 'COIL_42' (dist=0.0000)
[debug] Matched part at (0.009, -0.010, 0.000) to component 'COIL_43' (dist=0.0000)
[debug] Matched part at (0.010, -0.009, 0.000) to component 'COIL_44' (dist=0.0000)
[debug] Matched part at (0.011, -0.007, -0.000) to component 'COIL_45' (dist=0.0000)
[debug] Matched part at (0.013, -0.006, -0.000) to component 'COIL_46' (dist=0.0000)
[debug] Matched part at (0.013, -0.004, -0.001) to component 'COIL_47' (dist=0.0000)
[debug] Matched part at (0.014, -0.002, -0.000) to component 'COIL_48' (dist=0.0000)
[debug] Matched part at (0.015, -0.001, -0.000) to component 'COIL_49' (dist=0.0000)
[debug] Matched part at (-0.000, 0.000, 0.000) to component 'VESSEL' (dist=0.0000)
[debug] Matched part at (-0.000, 0.000, 0.000) to component 'FIRSTWALL' (dist=0.0000)
[debug] Matched part at (-0.000, -0.000, 0.000) to component 'GAP' (dist=0.0000)
Stage 2 — Imprint and mesh¶
make_non_manifold_model performs the boolean imprint and merge so adjacent volumes share faces — required for a conformal mesh.
[3]:
nm_model = model.make_non_manifold_model()
mesh_case = bslt.MeshCase(nm_model)
mesh_case.set_size(1.5e-2) # global edge-length cap, fixture-native units
surface_mesh = bslt.SurfaceMesh.from_model(nm_model, mesh_case)
volume_mesh = bslt.VolumeMesh.from_surface_mesh(surface_mesh)
print("Meshing complete.")
[debug] Creating Non-Manifold Model.
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[info] tMeshing complete.
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Stage 3 — Write the Gmsh .msh¶
See the stellarmesh format spec for the schema and basalt’s format reference for what basalt populates. scale_factor=1e5 converts fixture-native units to OpenMC’s centimetres (×100 for m→cm, ×1000 for the Proxima fixture-scale correction).
[4]:
msh_path = tmpdir / "w7x.msh"
volume_mesh.write_msh(str(msh_path), scale_factor=1e5)
print(f"Wrote {msh_path} ({msh_path.stat().st_size / 1e6:.1f} MB)")
Wrote /tmp/w7x_neutronics_4n3dw1z4/w7x.msh (15.5 MB)
Info : Writing '/tmp/w7x_neutronics_4n3dw1z4/w7x.msh'...
Info : Done writing '/tmp/w7x_neutronics_4n3dw1z4/w7x.msh'
Stage 4 — Stellarmesh: .msh → DAGMC¶
Stellarmesh reads the .msh and produces a DAGMC .h5m file (the geometry input for OpenMC) plus an unstructured MOAB mesh that we’ll use as a tally mesh. The DAGMC mat:<slug> groups carry the body identifiers basalt put into material= — we map them to physical materials in the next stage.
[5]:
sm_mesh = sm.Mesh(str(msh_path))
dagmc_model = sm.DAGMCModel.from_mesh(sm_mesh)
dagmc_path = tmpdir / "dagmc.h5m"
dagmc_model.write(str(dagmc_path))
tally_mesh_path = tmpdir / "w7x_tally_mesh.h5m"
sm.MOABModel.from_mesh(sm_mesh).write(str(tally_mesh_path))
print(f"DAGMC: {dagmc_path}")
print(f"Tally mesh: {tally_mesh_path}")
Info : Reading '/tmp/tmpist0g2hs.msh'...
Info : 460 entities
Info : 59586 nodes
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WARNING:stellarmesh.moab:Discarding volume elements from mesh.
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Info : Done reading '/tmp/tmpist0g2hs.msh'
Info : Removing duplicate mesh nodes...
Info : Found 0 duplicate nodes
Info : No duplicate nodes found
INFO:stellarmesh.moab:Writing MOAB mesh to /tmp/w7x_neutronics_4n3dw1z4/dagmc.h5m
Info : Reading '/tmp/tmpist0g2hs.msh'...
Info : 460 entities
Info : 59586 nodes
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Info : Done reading '/tmp/tmpist0g2hs.msh'
Info : Writing '/tmp/tmpkk8542fo.vtk'...
INFO:stellarmesh.moab:Writing MOAB mesh to /tmp/w7x_neutronics_4n3dw1z4/w7x_tally_mesh.h5m
Info : Done writing '/tmp/tmpkk8542fo.vtk'
DAGMC: /tmp/w7x_neutronics_4n3dw1z4/dagmc.h5m
Tally mesh: /tmp/w7x_neutronics_4n3dw1z4/w7x_tally_mesh.h5m
Stage 5 — Material assignment¶
The material=<slug> in basalt’s output identifies a body, not a physical material — see format § The ``material` slug identifies a body, not a material <../../format.rst>`__. Here we map each body category in the W7-X fixture (COIL_*, FIRSTWALL, BLANKET, VESSEL, PLASMA, GAP) to a vanilla openmc.Material.
Materials are illustrative, not engineering-realistic.
[ ]:
import re
def make_copper():
m = openmc.Material(name="copper")
m.add_element("Cu", 1.0)
m.set_density("g/cm3", 8.96)
return m
def make_tungsten():
m = openmc.Material(name="tungsten")
m.add_element("W", 1.0)
m.set_density("g/cm3", 19.3)
return m
def make_flibe():
m = openmc.Material(name="flibe")
m.add_element("Li", 2.0)
m.add_element("Be", 1.0)
m.add_element("F", 4.0)
m.set_density("g/cm3", 1.94)
return m
def make_ss316l():
m = openmc.Material(name="ss316l")
m.add_element("Fe", 0.6815, "wo")
m.add_element("Cr", 0.17, "wo")
m.add_element("Ni", 0.12, "wo")
m.add_element("Mo", 0.025, "wo")
m.add_element("Mn", 0.02, "wo")
m.add_element("Si", 0.0035, "wo")
m.set_density("g/cm3", 7.99)
return m
def make_void():
# OpenMC's DAGMC loader requires a Material for every `mat:<slug>` group
# in the .h5m. basalt writes a slug per body even for vacuum regions
# (slugs name bodies, not materials), so we emit a near-vacuum material
# for the PLASMA / GAP cells. Density ~1e-12 g/cm³ makes neutron
# interactions negligible.
m = openmc.Material()
m.add_nuclide("H1", 1.0)
m.set_density("g/cm3", 1e-12)
return m
# Pattern-match the body category → material factory. The category comes from
# the sidecar's DB_PART_NAME attribute (set by the NX export pipeline);
# `body_name` is a generic NX placeholder ("Body9") and not used here.
DB_PART_NAME_TO_MATERIAL = {
re.compile(r"^COIL_\d+$"): make_copper,
re.compile(r"^FIRSTWALL$"): make_tungsten,
re.compile(r"^BLANKET$"): make_flibe,
re.compile(r"^VESSEL$"): make_ss316l,
re.compile(r"^PLASMA$"): make_void,
re.compile(r"^GAP$"): make_void,
}
# OpenMC's DAGMC reader canonicalizes material names to lowercase. We work in
# lowercase throughout (slugs, sidecar keys, material names, prefix matches)
# so the openmc.Material/cell-fill name comparisons line up.
SLUG_PATTERN = re.compile(r"^[a-z0-9_]+\.b\d+$")
def material_for_slug(slug, db_part_name):
for pat, factory in DB_PART_NAME_TO_MATERIAL.items():
if pat.match(db_part_name):
m = factory()
m.name = slug
return m
raise KeyError(
f"db_part_name {db_part_name!r} (slug {slug!r}) "
f"has no entry in DB_PART_NAME_TO_MATERIAL"
)
def check_material_coverage(dagmc_model, sidecar):
mat_groups = [g.name for g in dagmc_model.groups if g.name.startswith("mat:")]
slugs = [n.removeprefix("mat:").lower() for n in mat_groups]
assert slugs, "No mat:* groups in DAGMC model"
none_slugs = [s for s in slugs if s == "none"]
if none_slugs:
raise RuntimeError(
f"{len(none_slugs)} region(s) have slug 'None' — ambiguous part "
"ownership (typically shared faces after non-manifold merge)."
)
for slug in slugs:
if not SLUG_PATTERN.match(slug):
raise ValueError(f"Slug {slug!r} doesn't match expected format")
if len(slug) > 28:
raise ValueError(
f"Material name exceeds MOAB 28-char limit: {slug!r} "
f"({len(slug)} chars)"
)
if slug not in sidecar:
raise KeyError(f"DAGMC slug {slug!r} not in sidecar")
return slugs
sidecar_path = Path("../../../tests/data/scaled_w7x_stellarator_attrs.json").resolve()
# Sidecar keys are written by the NX journal in NX-native casing (e.g.
# `PLASMA_1.b1`). Lowercase them so they line up with the
# slugs we extract from the DAGMC file below.
sidecar_data = {
k.lower(): v for k, v in bslt.load_material_metadata(str(sidecar_path)).items()
}
slugs = check_material_coverage(dagmc_model, sidecar_data)
print(f"Validated {len(slugs)} material slugs.")
materials_list = [
material_for_slug(slug, sidecar_data[slug].get("db_part_name", ""))
for slug in slugs
]
materials = openmc.Materials(materials_list)
print(f"Built {len(materials_list)} openmc.Material objects.")
Validated 55 material slugs.
Built 55 openmc.Material objects.
Stage 6 — Plasma source¶
A 14.1 MeV monoenergetic, isotropic DT-neutron source uniformly distributed over the PLASMA bounding box, and rejection samples to the PLASMA cell.
[ ]:
dagmc_universe = openmc.DAGMCUniverse(dagmc_path)
geometry = openmc.Geometry(dagmc_universe.bounded_universe())
plasma_mats = [m for m in materials_list if m.name.startswith("plasma")]
if not plasma_mats:
raise RuntimeError("No PLASMA material in materials_list — check sidecar/fixture.")
bbox = dagmc_universe.bounding_box
source = openmc.IndependentSource(
space=openmc.stats.Box(bbox.lower_left, bbox.upper_right),
energy=openmc.stats.Discrete([14.1e6], [1.0]),
angle=openmc.stats.Isotropic(),
domains=plasma_mats,
)
print(f"Source bbox (cm): {bbox.lower_left} → {bbox.upper_right}")
print(f"Source restricted to {len(plasma_mats)} plasma material(s)")
Source bbox (cm): [-1674.66443057 -1709.25991083 -397.48970498] → [1732.97195353 1709.15092373 397.76752175]
Source restricted to 1 plasma material(s)
/home/alex/Programming/phnx/.claude/worktrees/d-resume/.pixi/envs/default/lib/python3.12/site-packages/openmc/source.py:323: FutureWarning: The 'domains' arguments has been replaced by the 'constraints' argument.
warnings.warn("The 'domains' arguments has been replaced by the "
Stage 7 — Tallies¶
Four tallies make up the showcase:
Unstructured-mesh neutron flux on the MOAB volume tally mesh (E > 0.1 MeV)
Tritium breeding ratio (TBR) on the BLANKET region (Li-6 (n,Xt) reaction rate / source rate).
Coil heating summed over all
COIL_*cells.First-wall fast flux integrated over FIRSTWALL.
[ ]:
tallies = openmc.Tallies()
# (1) Unstructured-mesh flux
umesh = openmc.UnstructuredMesh(str(tally_mesh_path), library="moab")
fast_filter = openmc.EnergyFilter([0.1e6, 20.0e6])
mesh_filter = openmc.MeshFilter(umesh)
t_flux_mesh = openmc.Tally(name="flux_mesh")
t_flux_mesh.filters = [mesh_filter, fast_filter]
t_flux_mesh.scores = ["flux"]
tallies.append(t_flux_mesh)
# (2) TBR — over BLANKET materials, Li-6 (n,Xt)
blanket_mats = [m for m in materials_list if m.name.startswith("blanket")]
if blanket_mats:
t_tbr = openmc.Tally(name="tbr")
t_tbr.filters = [openmc.MaterialFilter(blanket_mats)]
t_tbr.nuclides = ["Li6"]
t_tbr.scores = ["(n,Xt)"]
tallies.append(t_tbr)
# (3) Coil heating
coil_mats = [m for m in materials_list if m.name.startswith("coil_")]
if coil_mats:
t_heating = openmc.Tally(name="coil_heating")
t_heating.filters = [openmc.MaterialFilter(coil_mats)]
t_heating.scores = ["heating"]
tallies.append(t_heating)
# (4) First-wall fast flux
fw_mats = [m for m in materials_list if m.name.startswith("firstwall")]
if fw_mats:
t_fw = openmc.Tally(name="firstwall_flux")
t_fw.filters = [openmc.MaterialFilter(fw_mats), fast_filter]
t_fw.scores = ["flux"]
tallies.append(t_fw)
print(f"Built {len(tallies)} tallies.")
Built 4 tallies.
Stage 8 — Run¶
500 000 particles × 4 batches, fixed-source mode, RNG seed pinned for reproducibility. On a modern laptop this runs in ~6 minutes.
[ ]:
settings = openmc.Settings()
settings.run_mode = "fixed source"
settings.particles = 500_000
settings.batches = 4
settings.source = source
settings.seed = 1
geometry.export_to_xml(str(tmpdir / "geometry.xml"))
materials.export_to_xml(str(tmpdir / "materials.xml"))
settings.export_to_xml(str(tmpdir / "settings.xml"))
tallies.export_to_xml(str(tmpdir / "tallies.xml"))
statepoint_path = openmc.run(cwd=str(tmpdir))
# openmc 0.15.2 returns None for the statepoint path when cwd is passed —
# fall back to the newest statepoint file in the run directory.
if statepoint_path is None:
statepoint_path = max(
tmpdir.glob("statepoint.*.h5"), key=lambda p: p.stat().st_mtime
)
print(f"Run complete. Statepoint: {statepoint_path}")
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| The OpenMC Monte Carlo Code
Copyright | 2011-2025 MIT, UChicago Argonne LLC, and contributors
License | https://docs.openmc.org/en/latest/license.html
Version | 0.15.2
Commit Hash | e23760b0264c66fb7bb373aa0596801e5209d920
Date/Time | 2026-05-18 14:41:38
OpenMP Threads | 20
Reading settings XML file...
Reading cross sections XML file...
Reading materials XML file...
Reading geometry XML file...
Loading file /tmp/w7x_neutronics_4n3dw1z4/dagmc.h5m
Initializing the GeomQueryTool...
Using faceting tolerance: 0.1
Building acceleration data structures...
Reading H1 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/H1.h5
Reading Li6 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Li6.h5
Reading Li7 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Li7.h5
Reading Be9 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Be9.h5
Reading F19 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/F19.h5
Reading Cu63 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Cu63.h5
Reading Cu65 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Cu65.h5
Reading W180 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/W180.h5
Reading W182 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/W182.h5
Reading W183 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/W183.h5
Reading W184 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/W184.h5
Reading W186 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/W186.h5
Reading Fe54 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Fe54.h5
Reading Fe56 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Fe56.h5
Reading Fe57 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Fe57.h5
Reading Fe58 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Fe58.h5
Reading Cr50 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Cr50.h5
Reading Cr52 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Cr52.h5
Reading Cr53 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Cr53.h5
Reading Cr54 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Cr54.h5
Reading Ni58 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Ni58.h5
Reading Ni60 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Ni60.h5
Reading Ni61 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Ni61.h5
Reading Ni62 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Ni62.h5
Reading Ni64 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Ni64.h5
Reading Mo92 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Mo92.h5
Reading Mo94 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Mo94.h5
Reading Mo95 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Mo95.h5
Reading Mo96 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Mo96.h5
Reading Mo97 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Mo97.h5
Reading Mo98 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Mo98.h5
Reading Mo100 from
/home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Mo100.h5
Reading Mn55 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Mn55.h5
Reading Si28 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Si28.h5
Reading Si29 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Si29.h5
Reading Si30 from /home/alex/Programming/data/endfb-viii.0-hdf5/neutron/Si30.h5
Minimum neutron data temperature: 294 K
Maximum neutron data temperature: 294 K
Reading tallies XML file...
Getting tet adjacencies...
Building adaptive k-d tree for tet mesh with ID 1...
Preparing distributed cell instances...
Reading plot XML file...
Writing summary.h5 file...
Maximum neutron transport energy: 20000000 eV for H1
===============> FIXED SOURCE TRANSPORT SIMULATION <===============
Simulating batch 1
Simulating batch 2
Simulating batch 3
Simulating batch 4
Creating state point statepoint.4.h5...
WARNING: Output for a MOAB mesh (mesh 1) was requested but will not be written.
Please use the Python API to generated the desired VTK tetrahedral
mesh.
=======================> TIMING STATISTICS <=======================
Total time for initialization = 2.8416e+01 seconds
Reading cross sections = 2.1003e+00 seconds
Total time in simulation = 2.9168e+02 seconds
Time in transport only = 2.9160e+02 seconds
Time in active batches = 2.9168e+02 seconds
Time accumulating tallies = 1.6510e-02 seconds
Time writing statepoints = 6.1703e-02 seconds
Total time for finalization = 1.7487e-01 seconds
Total time elapsed = 3.2028e+02 seconds
Calculation Rate (active) = 6856.9 particles/second
============================> RESULTS <============================
Leakage Fraction = 0.91933 +/- 0.00031
Run complete. Statepoint: /tmp/w7x_neutronics_4n3dw1z4/statepoint.4.h5
Stage 9 — Results¶
[10]:
with openmc.StatePoint(statepoint_path) as sp:
flux_int = sp.get_tally(name="flux_mesh").mean.flatten()
# Load the tally mesh. The .h5m contains 2D boundary triangles in
# addition to the 3D tets — extract the tets so cell counts line up
# with the openmc tally length.
pv_mesh = pv.read(str(tally_mesh_path))
pv_tets = pv_mesh.extract_cells_by_type(pv.CellType.TETRA)
# Convert integrated flux per cell (n·cm / source) to flux density
# (n / cm² / source) so the colourmap compares flux independently of
# tet volume. Clamp zero-flux cells to a small floor for log scale.
pv_tets = pv_tets.compute_cell_sizes(length=False, area=False, volume=True)
volumes = np.asarray(pv_tets.cell_data["Volume"])
flux_density = flux_int / np.maximum(volumes, 1e-300)
nonzero = flux_density[flux_density > 0]
floor = nonzero.min()
pv_tets.cell_data["flux"] = np.where(flux_density > 0, flux_density, floor)
clim = (np.percentile(nonzero, 5), np.percentile(nonzero, 99))
# Slice the geometry through the y=0 plane to expose two W7-X
# poloidal cross-sections; camera-zoom onto the +x cross-section so
# the radial attenuation through firstwall+blanket is legible.
slice_y = pv_tets.slice(normal="y", origin=(0, 0, 0))
pl = pv.Plotter(off_screen=True, window_size=(1200, 900))
pl.add_mesh(
slice_y,
scalars="flux",
cmap="viridis",
log_scale=True,
clim=clim,
show_edges=True,
edge_color="black",
line_width=0.3,
scalar_bar_args={
"title": "Fast flux (n/cm²/source)",
"fmt": "%.1e",
},
)
pl.camera_position = [(1700, 5000, 0), (1700, 0, 0), (0, 0, 1)]
pl.camera.zoom(2.8)
pl.show_axes()
screenshot_path = tmpdir / "flux_slice.png"
pl.screenshot(str(screenshot_path))
pl.close()
display(Image(str(screenshot_path), width=900))
def scalar(name):
try:
return float(sp.get_tally(name=name).mean.sum())
except (LookupError, KeyError):
return None
tbr = scalar("tbr")
coil_heating = scalar("coil_heating")
fw_flux = scalar("firstwall_flux")
print("--- Scalar results (per source neutron) ---")
print(f" TBR (natural Li FLiBe): {tbr:.4f}" if tbr is not None else " TBR: n/a")
print(
f" Total coil heating: {coil_heating:.4e} eV"
if coil_heating is not None
else " Coil heating: n/a"
)
print(
f" First-wall fast flux: {fw_flux:.4e} n/cm²"
if fw_flux is not None
else " First-wall flux: n/a"
)
print()
print("Note: TBR < 1 is expected with natural lithium. A real breeding")
print("blanket would use ~30-60% Li-6 enrichment, pushing TBR > 1.")
--- Scalar results (per source neutron) ---
TBR (natural Li FLiBe): 0.0078
Total coil heating: 2.8986e+05 eV
First-wall fast flux: 1.1303e+01 n/cm²
Note: TBR < 1 is expected with natural lithium. A real breeding
blanket would use ~30-60% Li-6 enrichment, pushing TBR > 1.
Closing¶
This notebook ran the complete basalt → stellarmesh → OpenMC pipeline against a public W7-X fixture, producing a 3D fast-flux visualization.
See basalt usage, format reference, and stellarmesh tutorials for next steps.