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hex: conforming multi-block meshes of partitioned parts
hex_mesh_cells meshes cells that meet face to face (SolidCraft split bodies) as one conforming all-hex mesh: each cell a mapped block after smoothly meeting faces are joined (virtual topology: the halves of a hole, a plane running into a fillet), vertices, edges and faces shared by identity, interval assignment over all cells, each shared face meshed once, radial edges graded off curved faces. finish spans several cells: tags per cell, hex20 mid-edge nodes shared across cells, a closed 2-manifold boundary and no free internal face. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01NmAttHhUZTokgPeEJia8sm
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@@ -880,7 +880,7 @@ input points), Steiner points kept half the local spacing from the boundary.
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### B8. Mapped and swept hexahedral meshing (implemented in `fieldcraft-mesh::hex`)
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`mesh.hex.generate` (and `mesh.hex.sweep`, `mesh.hex.mapped`). Every method below is implemented from
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`mesh.hex.generate` (and `mesh.hex.sweep`, `mesh.hex.mapped`, `mesh.hex.blocks`). Every method below is implemented from
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its paper; no code was read. DOIs marked "checked" were confirmed on 2026-10-13 through a repository
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record or the publisher; the others are cited by venue only.
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@@ -932,7 +932,17 @@ record or the publisher; the others are cited by venue only.
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Applied Mathematics and Computation 10–11:171–233, 1982.
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- **Use.** Interior nodes of a logical cube from its six face grids (`hex::mapped`).
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**B8.8 Support.** Generalized winding number for the inside test (A. Jacobson, L. Kavan, O. Sorkine-Hornung,
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**B8.8 Multi-block meshing of partitioned parts.** **Verdict: BUILD ON (conforming cells).**
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- **Citations.** J. F. Thompson, B. K. Soni, N. P. Weatherill (eds.). *Handbook of Grid Generation.* CRC Press,
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1999, ch. 3 (transfinite and algebraic grids) and ch. 13 (multiblock grids). A. Sheffer, M. Bercovier,
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T. Blacker, J. Clements. *Virtual topology operators for meshing.* IJCGA 10(3):309–331, 2000.
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- **Use.** `hex::cells` (`mesh.hex.blocks`): cells that meet face to face, each a logical cube after smoothly
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meeting faces are joined into composite faces (virtual topology); vertices, edges and faces shared by
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identity; interval assignment over all cells (B8.5); each edge divided once, each face's transfinite grid
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made once and used by both cells; edges that leave a curved face graded from the spacing along it with a
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growth of 1.2 per element; interiors by B8.7. The merged mesh is checked for free internal faces.
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**B8.9 Support.** Generalized winding number for the inside test (A. Jacobson, L. Kavan, O. Sorkine-Hornung,
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*Robust inside-outside segmentation using generalized winding numbers*, ACM TOG 32(4):33, 2013; solid angle
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of a triangle: Van Oosterom and Strackee 1983); closest point on a triangle (C. Ericson, *Real-Time
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Collision Detection*, 2005, §5.1.5).
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