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jyvikoandClaude Opus 5.5 9469ac0853 Tet mesh quality: one validity criterion, Delaunay refinement, ODT, Klingner–Shewchuk, tet10
The end-to-end demo met a raw-CDT sliver that the validity gate accepted (exactly positive) and
the solver refused. Now:

- One validity criterion, `fieldcraft_model::admissible_jacobian` (normalized Jacobian above
  1e-12), used by the implicit solver (fem `positive_inverse`), the explicit tet4/hex8
  kinematics and the mesh gate, which proves it on the whole element (tet4: the solvers' own
  Jacobian; curved kinds: a Bernstein floor), so whatever passes the gate passes the solvers.
- CDT rounding repaired by flips on the rounded mesh (Diazzi et al. 2023 §5.1) instead of the
  ±2-ulp nudge.
- `fieldcraft-mesh::tet`: a mutable tetrahedral complex whose every change is a checked
  replacement (positive and admissible tetrahedra, faces matched with opposite orientation) with
  an exact undo log; edge removal (Klincsek), multi-face removal, Delaunay insertion with
  boundary faces, edge collapse; a curvature- and thickness-graded size field; constrained
  Delaunay refinement with encroachment splits; ODT smoothing; the Klingner–Shewchuk schedule;
  boundary vertices moved onto the exact B-rep surfaces at the end; tet10 with mid-edge nodes on
  the geometry.
- `mesh.tet.generate` gains size, order, quality, quality_target, curvature_angle, grading,
  max_passes, max_points and reports the CDT's and the mesh's quality; `solve.probe` takes a set
  and reports its largest von Mises stress.
- Oracle cases filleted-bracket-fillet-stress(-coarse): the fillet's peak von Mises stress on
  tet10 meshes of 2k and 13.5k elements, 213.3 MPa (a four-level study stays within 1.8%); the
  CDT cases keep the raw tetrahedralization.
- Corpus quality columns: all 20 valid parts mesh and pass the gate.

Co-Authored-By: Claude Opus 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
2026-10-14 08:28:49 -04:00

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[
{"command": "mesh.tet.generate", "params": {"body": "Bracket", "tolerance": 0.088, "size": 5.65685424949238, "curvature_angle": 31.819805153394636, "order": "quadratic"}, "id": "tet"},
{"command": "model.material.create", "params": {"name": "Steel", "elastic": {"type": "isotropic", "young": 210000, "poisson": 0.3}, "density": 7.85e-09}},
{"command": "model.set.create", "params": {"name": "all", "geometry": [{"body": "Bracket"}]}},
{"command": "model.set.create", "params": {"name": "foot", "geometry": [{"body": "Bracket", "face": "F2:side:l1"}]}},
{"command": "model.set.create", "params": {"name": "top", "geometry": [{"body": "Bracket", "face": "F2:side:l5"}]}},
{"command": "model.set.create", "params": {"name": "fillet", "geometry": [{"body": "Bracket", "face": "F3:blend:F2:side:l3|F2:side:l4"}]}},
{"command": "model.section.create", "params": {"name": "solid", "set": "all", "material": "Steel", "kind": {"type": "solid"}}},
{"command": "model.boundary_condition.create", "params": {"name": "clamp", "type": "fixed", "target": {"set": "foot"}}},
{"command": "model.load.create", "params": {"name": "push", "type": "force", "target": {"set": "top"}, "vector": [2000, 0, 0]}},
{"command": "model.step.create", "params": {"name": "Load", "procedure": {"type": "static"}, "boundary_conditions": ["clamp"], "loads": ["push"]}},
{"command": "solve.static", "params": {}, "id": "solve"}
]