Examples

Instantiate the examples environment:

julia --project=examples -e 'using Pkg; Pkg.instantiate()'

Run a script:

julia --project=examples examples/2D/Diffusion/Poisson_robin.jl

1D

• examples/1D/Diffusion/Poisson_nobody_neumann_mms.jl

  • Physical case: full-domain manufactured Poisson with Neumann boundaries.
  • Key API call: solve_steady!(DiffusionModelMono(...))
  • Check: weighted L2 error and Neumann-gauge consistency.

• examples/1D/Diffusion/Poisson_2ph.jl

  • Physical case: diphasic steady Poisson with interface continuity.
  • Key API call: solve_steady!(DiffusionModelDiph(...))
  • Check: phase-wise weighted error.

• examples/1D/Diffusion/steady_1d_diph_robinjump.jl

  • Physical case: diphasic Robin jump + flux continuity benchmark.
  • Key API call: InterfaceConditions(scalar=RobinJump(...), flux=FluxJump(...))
  • Check: piecewise analytical profile + interface residuals.

2D Fixed Interface

• examples/2D/Diffusion/Poisson_robin.jl

  • Physical case: steady Poisson with embedded Robin interface.
  • Key API call: solve_steady!
  • Check: weighted L2 convergence against manufactured solution.

• examples/2D/Diffusion/Heat_robin.jl

  • Physical case: unsteady mono diffusion with embedded Robin interface.
  • Key API call: solve_unsteady!(...; scheme=:BE)
  • Check: final-time weighted error.

• examples/2D/Diffusion/Heat_2ph.jl

  • Physical case: unsteady diphasic manufactured heat modes.
  • Key API call: solve_unsteady!(...; scheme=:CN)
  • Check: phase-wise weighted errors and stable operator reuse path.

• examples/2D/Diffusion/Heat_2ph_disk_transfer_metrics.jl

  • Physical case: diphasic transfer benchmark with diagnostics.
  • Key API call: compute_interface_exchange_metrics
  • Check: flux/transfer metrics against manual operator-based expressions.

2D Moving Interface

• examples/2D/Diffusion/MovingHeat_robin.jl

  • Physical case: moving mono geometry with manufactured transient field.
  • Key API call: solve_unsteady_moving!
  • Check: final-time weighted error and robustness under motion.

• examples/2D/Diffusion/MovingHeat_robin_real.jl

  • Physical case: moving mono geometry with nontrivial Robin interface (α,β ≠ 0).
  • Key API call: MovingDiffusionModelMono(...; bc_interface=Robin(...))
  • Check: stable interface coupling with real Robin terms.

• examples/2D/Diffusion/MovingHeat_2ph.jl

  • Physical case: moving diphasic manufactured case.
  • Key API call: MovingDiffusionModelDiph + solve_unsteady_moving!
  • Check: phase-wise final-time weighted errors.

3D

• examples/3D/Diffusion/Poisson_dirichlet.jl

  • Physical case: 3D manufactured Poisson with embedded interface.
  • Key API call: solve_steady!
  • Check: weighted L2 error and active-volume sanity.

• examples/3D/Diffusion/Heat_1ph_embedded_stl_cube.jl

  • Physical case: steady mono diffusion in the exterior of an embedded STL cube.
  • Key API call: STLInputs.sdf_on_grid + body_from_sdf + solve_steady!
  • Check: prints mesh/cut-cell geometry diagnostics and mid-plane phi/temperature slices.

Verification Map (Tests ↔ Examples)

• Moving mono/diph invariance tests ↔ moving examples (MovingHeat_*).
• Diphasic jump/Robin tests ↔ steady_1d_diph_robinjump.jl.
• Unsteady CN/BE regression tests ↔ Heat_robin.jl, Heat_2ph.jl.
• Transfer-metric unit tests ↔ Heat_2ph_disk_transfer_metrics.jl.