radia-mcp 0.100.1

MCP servers for the Radia CAE ecosystem -- Cubit / build123d / gmsh / NGSolve / PEEC / IH + 30+ specialized knowledge subpackages (panel-review, CLN MOR, COMSOL multilingual RAG, electromagnet, magnetic-materials, motor, accelerator, NMR/MRI, NDT, metamaterial, WPT, TEAM benchmark, etc.). See README.md + CHANGELOG.md for per-release notes.

radia-mcp

First-and-only public Model Context Protocol (MCP) server suite for Coreform Cubit, Gmsh, build123d, and the Radia CAE ecosystem — including differential geometry and Mathematica integration. Pioneering MCP territory for mesh generators worldwide.

Killer demo (30 seconds): ask Claude to derive the Kelvin transform factor by hand — it gets stuck on a 3×3 Jacobian + 27-term Laplacian. Then ask it to use differential-forms + mathematica together:

> verify_with_mathematica(identity="kelvin")

Claude pulls the recipe, sends it to Wolfram, reports back

k=1:  Laplacian(psi) = 0          [harmonic — factor R/|y| is correct]
k=2:  Laplacian(psi) ≠ 0          [factor wrong]
k=3:  Laplacian(psi) ≠ 0          [factor wrong]

— in 8 seconds. The kelvin_factor = R/|y| that takes half a day in vector calculus appears as the conformal weight λ^((n−2k)/2) of a k-form, and Mathematica verifies it symbolically.

Authored by the Sugawara Lab (菅原研究室), Kindai University — where the lab-standard primary pair is build123d (CAD authoring) + Cubit (hex meshing), with Gmsh as the post-processing workhorse.

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Why this exists

radia-mcp lets an AI assistant drive a real CAE pipeline end-to-end:

build123d script  →  STEP  →  Cubit hex mesh  →  .msh v4.1 / .vol  →  ngsolve / radia
        ↑                            ↓
   AI authors                   AI iterates safely
   (Builder API)                 (auto-checkpoint
                                  + batch dry-run
                                  + live GUI replay)

What makes it different from typical CAD-MCP servers (FreeCAD, OpenSCAD, Blender):

• Test-then-reflect safety pattern: every risky operation auto-checkpoints to .cub5, runs in a disposable batch Cubit first, reflects to the live GUI only when batch passes cleanly. The user watches success paths, not failures.
• Scheme ladder with geometry split: cubit_mesh_auto walks auto → sweep → polyhedron → tetmesh, auto-detects compound bodies (volume/surface ratio heuristic) and auto-webcuts before retrying.
• Universal mesh backend for the CAD-MCP ecosystem: any_step_to_cubit_hex accepts STEP from any upstream MCP (FreeCAD-MCP / OpenSCAD-MCP / cadquery-mcp / Blender-MCP / Onshape-MCP / KiCad-MCP) and dispatches to the same hex-mesh backend.
• Deeply scraped knowledge (≈800 lab files + 65 build123d examples
  • 15 bd_warehouse + GitHub issues + GitLab issues + StackOverflow + YouTube tutorial transcripts + Coreform training pack), all searchable via tf-idf with heading boost.
• Symbolic verification of FEM formulations (no other MCP server does this). Pair differential-forms (theory: Bossavit Whitney complex, Arnold-Falk-Winther FEEC, Kameari edge elements) with mathematica (Wolfram subprocess bridge) to:
  • Verify d² = 0 on any specific function
  • Compute element mass / stiffness matrices on a unit tetrahedron in closed form
  • Derive kelvin_factor = R/|y| for the Kelvin transformation from the conformal-weight formula
  • Output paper-quality TeX for hand-tuned identities Backed by 21-PDF cohomology bibliography (Bossavit 1998, FEEC 2006, Whitney 1957, Kameari 2011, Codecasa 2010, 新しい計算電磁気学 2003 ...).

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Demo (placeholder — recordings to be added)

build123d_to_cubit_hex(script=generate_build123d_script("helix_coil")["script"], target_size=1.0) in one call:

1. build123d Builder API: 4-turn helix + 2 radial leads (3 prismatic bodies)
2. STEP export → /tmp/coil.step
3. cubit_batch_try (headless): scheme ladder
   ├─ auto → 1668 hex / 0 tet ✓ WIN
   └─ (sweep / polyhedron / tetmesh skipped)
4. live Cubit GUI replay → user sees the winning recipe execute
5. .cub5 checkpoint preserved for rollback

Total time: ~30 s on a 4-core laptop. AI watches state delta, applies hint heuristics on failure, and never leaves a half-broken mesh in the user's window.

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Install

pip install radia-mcp                 # core (Cubit + build123d + gmsh-post + interop)
pip install radia-mcp[build123d]      # adds build123d itself
pip install radia-mcp[cadquery]       # adds CadQuery (interop with cadquery-mcp)
pip install radia-mcp[gmsh]           # adds gmsh Python bindings (gmsh_post operations)
pip install radia-mcp[youtube]        # adds youtube-transcript-api (tutorial scrape)
pip install radia-mcp[radia]          # adds Radia core (radia-coupled servers)
pip install radia-mcp[full]           # everything above

Requires Python ≥ 3.10. Coreform Cubit is auto-discovered from standard install paths; set CUBIT_BIN_DIR env var if installed non-standard.

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★ Discovery — start here

Before calling any specific server, ask mcp-server-radia-meta which server has the knowledge you need. It is the authoritative cross-server catalog of all 36 radia-mcp servers and answers "which tool covers concept X?" without trial-and-error.

# 4 catalog tools + 1 health probe
radia_mcp_overview()                  # all 36 servers + 43 tags
radia_mcp_get("optuna")               # full info for one server
radia_mcp_by_tag("optimization")      # filter (returns 6 matches)
radia_mcp_related("optuna")           # cross-link map (optuna → bayesian-opt, ...)
radia_mcp_health()                    # importability probe of all 36

Then drill into a specific server with its <short>_status() (auto- introspected tool list + dep probe) and <short>_topics() (for dispatcher-style servers: the topic enum) tools.

Pattern: 3-call discovery instead of guess-and-error —

radia_mcp_by_tag("optimization")
  → [optuna, bayesian-opt, evolutionary, topology-optimization,
     data-assimilation, gnn, pinn]
  → optuna_status()              # confirm tools available
  → optuna_topics()              # ['usage', 'algorithm',
                                  'lab_applications', 'all']
  → optuna(topic='algorithm')    # get the content

MCP servers

The catalog is the source of truth — call radia_mcp_overview() for the full 36-server live list. The historically primary servers are shown below for reference; everything else is discoverable via meta.

Standalone (no Radia core dependency — pip install radia-mcp)

Server	Entry point	Tools	Highlights
★ meta	mcp-server-radia-meta	6	Cross-server catalog + health probe — RECOMMENDED FIRST CALL
literature-index	mcp-server-literature-index	9	Full-text search across 2,339 lab literature files in W:/03_文献・論文 (ChromaDB + semantic search)
Cubit	mcp-server-cubit	52	cubit_mesh_auto, cubit_exec_safely, cubit_ask, scheme ladder + geometry split, .cub5 checkpoint/restore, scrape index over Coreform forum + S:\CoreformCubit lab archive (787 files) + YouTube + Coreform training
build123d	mcp-server-build123d	37	build123d_to_cubit_hex, lint_build123d_script (7 rules), build123d_try (subprocess isolation), build123d_inspect_step, build123d_heal, build123d_api, 13 Radia/general templates, CadQuery + bd_warehouse interop
gmsh-post	mcp-server-gmsh-post	21	gmsh_post_inspect/validate/convert (MSH v4.1 only), gmsh_post_quality, scrape over GitLab issues + StackOverflow + YouTube
radia-interop	mcp-server-radia-interop	4	any_step_to_cubit_hex + freecad_to_cubit_hex + openscad_to_cubit_hex + list_cad_mcp_interop
differential-forms	mcp-server-differential-forms	8	Differential geometry for computational EM: tangent spaces, k-forms, wedge product, exterior derivative, Hodge star, Whitney complex, de Rham, tree-cotree, FEEC (Arnold-Falk-Winther 2006), Mathematica recipes for symbolic verification. Distilled from Bossavit 1998 + Whitney 1957 + Kameari 2011 + 新しい計算電磁気学 2003 + Codecasa 2010.
mathematica	mcp-server-mathematica	10	Wolfram Mathematica subprocess bridge: mathematica_evaluate + 9 high-level helpers (simplify, to_tex, vector_calc, unit_convert, solve, integrate, differentiate, check_identity, status). Pairs with differential-forms for symbolic verification of d²=0, Stokes, Whitney elements, Kelvin transform, Maxwell identities. Requires wolframscript on PATH.

Radia-coupled (pip install radia-mcp[radia])

Server	Entry point	Highlights
radia-ngsolve	mcp-server-radia-ngsolve	NGSolve FEM/BEM, Whitney elements via H1/HCurl/HDiv, PEEC inductance, closed-form formulas (Wakao-Igarashi Part 1-9, cuboid average B, Bessel impedance, etc.)
ih	mcp-server-ih	Induction heating workflow: workpiece SIBC, ESIM nonlinear cell problem, Karl iteration, screening physics
peec	mcp-server-peec	PEEC: Loop-Star, FastHenry, PyPEECBuilder, Bessel/Dowell/ESIM SIBC, PRIMA model-order reduction, SPICE extraction
electromagnet	mcp-server-electromagnet	Accelerator magnet: CoilBuilder, Hantila polarization, B-input Play/Energy hysteresis, IMA sign selection, multipole harmonics

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Claude Code / Desktop configuration

Add to your MCP client config (Claude Desktop, Claude Code, Cursor, Continue, …):

{
  "mcpServers": {
    "radia-meta":          {"command": "mcp-server-radia-meta"},
    "literature-index":    {"command": "mcp-server-literature-index"},
    "cubit":               {"command": "mcp-server-cubit"},
    "build123d":           {"command": "mcp-server-build123d"},
    "gmsh-post":           {"command": "mcp-server-gmsh-post"},
    "radia-interop":       {"command": "mcp-server-radia-interop"},
    "differential-forms":  {"command": "mcp-server-differential-forms"},
    "mathematica":         {"command": "mcp-server-mathematica"}
  }
}

Registering more than the 8 above is rarely necessary — once you have meta, radia_mcp_get(name) returns the entry point for any of the 36 servers and you can register them on demand. The full list of catalog-driven server names is in radia_mcp.meta.catalog.CATALOG.

For local development from a checkout (no install needed):

{
  "mcpServers": {
    "cubit": {
      "command": "python",
      "args": ["-m", "radia_mcp.cubit.server"]
    }
  }
}

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Knowledge bases shipped (offline)

Server	Bundled knowledge	Lines
Cubit	cubit_api_reference.py (600+ functions) + scripting + forum tips + netgen workflow + export rules + panels	≈ 29 000
build123d	Auto-generated API reference (inspect.getmembers, 142 classes / 65 functions) + 18 curated topics (Plane/Axis/Location cookbook, Builder ↔ Algebra rosetta, joints, assemblies, CAE workflow, …)	1 673
gmsh-post	Auto-generated API reference (651 entries across gmsh.model, .view, .option, .fltk, …) + MSH v4.1 spec + view_data + physical_groups cookbooks	2 008

Plus persistent failure log per kind, fed into every *_lookup / *_ask retrieval so past mistakes are searchable next session.

Live-scraped knowledge (cached 7 days)

Source	Kind	Volume
Coreform forum (Discourse)	cubit_examples	full archive walk, ≈ 60 code-bearing posts
S:\CoreformCubit + Radia/01_GitHub/examples	cubit_examples	787 .jou / .py files (lab archive + Coreform training pack)
Cubit YouTube tutorials	cubit_examples	5 transcripts
GitHub .jou code search (PAT)	cubit_examples	15 files
gumyr/build123d/examples	build123d_examples	65 scripts
gumyr/bd_warehouse	build123d_examples	15 modules
gumyr/build123d Issues + GraphQL Discussions	build123d_examples	60 + 50
build123d YouTube	build123d_examples	4 transcripts
gitlab.onelab.info/gmsh/gmsh issues	gmsh_examples	walking 3000+
StackOverflow / SciComp.SE [gmsh]	gmsh_examples	30 votes-sorted
gmsh YouTube	gmsh_examples	5 transcripts

{cubit,build123d,gmsh}_examples_refresh() re-scrapes anytime; otherwise cache TTL is 7 days.

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Lab stance (Sugawara Lab, 菅原研究室)

Tool	Position
build123d	主力 (push) — new lab work is authored here
Cubit	主力 (push) — hex mesh + visualization
FreeCAD	応援 (friendly) — first-class interop, not first-class authoring; lab respects the FreeCAD community
CadQuery	interop / compat — OCCT sibling
OpenSCAD	interop / compat — legacy scripts

The MCP-tool layer encodes this stance: list_cad_mcp_interop reports primary_pair: "build123d (CAD authoring) + Cubit (hex mesh)" and flags FreeCAD as friendly, others as compat.

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Design pattern: Checkpoint-Batch-Commit-Race (CBCR)

The signature workflow cubit_mesh_race_with_human realizes a publishable design pattern we call CBCR: the user and N AI agents race the same starting state; first-to-finish wins; the human's in-progress work is never silently overwritten.

Full design document (defensive prior-art publication, BSD-3-Clause): docs/design/checkpoint_batch_commit_race.md.

Architecture (Plan A)

The Cubit server uses Plan A: launch coreform_cubit.exe -nojournal cubit_bootstrap.py, which installs a PyQt5 QTimer (200 ms poll) inside Cubit's Qt event loop. The MCP side drops *.req.json into a temp directory; the bootstrap polls, runs cubit.cmd() on the Qt main thread, and writes out/*.resp.json back. No sockets, no pipes — just atomically-renamed JSON files.

This sidesteps every ABI / event-loop / GIL issue the COMSOL-style "external Python + library load" approach hits.

cubit_exec_safely adds a second safety layer on top:

1. Auto-save as the live GUI state to ~/.cubit_viewer/checkpoints/autosafe_<ts>.cub5.
2. Spawn a fresh batch Cubit, open the checkpoint, run candidate commands.
3. If batch passes (and cubit.get_error_count() didn't tick up — silent-error guard), replay on the live GUI.
4. Otherwise: live GUI untouched, checkpoint label returned for cubit_restore.

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Quickstart

build123d → Cubit hex mesh, one call

build123d_to_cubit_hex(
    script=generate_build123d_script("helix_coil")["script"],
    target_size=1.0,
    prefer="hex",
    commit_to_gui=True,
)
# ⇒ STEP exported → batch ladder picks scheme auto → live Cubit GUI
#   shows 1668 hex / 0 tet / 3780 nodes

Safe Cubit live edit

cubit_exec_safely(commands=[
    "volume all size 1.0",
    "volume all scheme tetmesh",
    "mesh volume all",
])
# ⇒ auto-checkpoint → batch dry-run → only on pass: live GUI mesh
#   if dry-run fails, GUI is untouched + rollback label returned

Search any layer of knowledge

cubit_ask("hex meshing tutorial")
# ⇒ unioned ranked hits across bundled KB + lab archive (787 files)
#   + Coreform forum + YouTube transcripts

Convert + post-process a Cubit-exported mesh

gmsh_post_convert("/tmp/cubit_export.msh", "/tmp/v41.msh")  # any → v4.1
gmsh_post_validate("/tmp/v41.msh")                          # spec compliance
gmsh_post_quality("/tmp/v41.msh")                           # min Jacobian etc.
gmsh_post_add_view_from_csv(
    msh_path="/tmp/v41.msh",
    csv_path="/tmp/B_field.csv",
    out_path="/tmp/v41_with_B.msh",
    view_name="B_magnitude",
)

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Contributing

Bug reports + PRs welcome — particularly for:

• New CAD-MCP adapters in radia_mcp.interop.server (Blender, Onshape, KiCad, AutoCAD via any_step_to_cubit_hex plumbing).
• Additional scrape sub-sources under radia_mcp.common.examples (mailing list archives, more YouTube channels, blog posts).
• Cookbook topics for build123d_usage / gmsh_post_spec — worked-example knowledge fragments are always welcome.

See CONTRIBUTING.md for the lightweight workflow. History of every release is in CHANGELOG.md.

License

BSD-3-Clause — see LICENSE.

Acknowledgments

• Coreform for Cubit and the open Discourse forum that we scrape with appreciation.
• Roger Maitland (gumyr) for build123d and bd_warehouse — the lab-standard upstream CAD.
• Christophe Geuzaine for Gmsh and the open issue tracker on gitlab.onelab.info.
• MCP / Anthropic for the protocol that made AI-driven CAE practical.