ReferenceAlpha
Shape Optimization
Spatially distributed free-boundary design field with surface filtering, harmonic ALE extension, and exact design-to-coordinate derivatives.
Reference
| Field | Value | Description |
|---|---|---|
| constraints | [] | — |
| coupled_runtime | null | — |
| differentiable_runtime | null | — |
| dynamic_outputs | [] | — |
| equation_summary | (I-r_f^2 Delta_G) d_boundary = control; Delta_G d_mesh = 0 with fixed and controlled Dirichlet boundaries | — |
| frequency_domain_runtime | null | — |
| metadata | {"controlDiscretization":"Pointwise: one vector control per selected boundary node; Uniform: one scalar control per enabled component","controlParameterizations":["Pointwise","Uniform"],"coordinateDerivative":"analytic sparse linear map","finiteDifferenceFallback":false,"meshMotion":"harmonic graph ALE"} | — |
| preferred_material | null | — |
| schema_version | 0.1.0 | — |
| stateVariables | [{"adjointDescription":"Shape design variables expose analytic design-to-coordinate derivatives consumed by analysis adjoints.","adjointSupported":true,"availability":{"topologyMethods":[]},"canonicalSymbol":"shape.d","complexValued":false,"componentDescriptions":["X component of mesh displacement","Y component of mesh displacement","Z component of mesh displacement"],"componentNames":["shape_x","shape_y","shape_z"],"componentSymbols":["shape.shape_x","shape.shape_y","shape.shape_z"],"components":3,"description":"Filtered free-shape displacement extended through the analysis mesh.","differentiability":"analytic","displayName":"Mesh displacement","finiteElementSpace":"H1-P1","initialValue":"0","location":"node","name":"d","namingPolicy":"fixed","quantityId":"shape.d","rank":"vector","role":"state","runtimeEvidence":{"certificationFixture":"tests/python_backend/test_differentiable_physics_contract.py::test_builtin_physics_optimization_contract_gate","provider":"telion_backend.v2.runtimes.shape.optimize_free_shape"},"symbolPattern":null,"unit":"m"}] | — |
| studies | [{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Distributed free-shape reference implementation awaits benchmark certification."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Distributed free-shape reference implementation awaits benchmark certification."}] | — |
| transient_runtime | null | — |
| weak_contributions | [] | — |
| category | Mathematics / Optimization | — |
| description | Spatially distributed free-boundary design field with surface filtering, harmonic ALE extension, and exact design-to-coordinate derivatives. | — |
| dimensions | [3] | — |
| display_name | Shape Optimization | — |
| kind | Shape Optimization | — |
| namespace | shape | — |
| status | development | — |
| visible | false | — |
Spatially distributed free-boundary design field with surface filtering, harmonic ALE extension, and exact design-to-coordinate derivatives.
Contract
| Property | Value |
|---|---|
| constraints | [] |
| coupled_runtime | null |
| differentiable_runtime | null |
| dynamic_outputs | [] |
| equation_summary | (I-r_f^2 Delta_G) d_boundary = control; Delta_G d_mesh = 0 with fixed and controlled Dirichlet boundaries |
| frequency_domain_runtime | null |
| metadata | {"controlDiscretization":"Pointwise: one vector control per selected boundary node; Uniform: one scalar control per enabled component","controlParameterizations":["Pointwise","Uniform"],"coordinateDerivative":"analytic sparse linear map","finiteDifferenceFallback":false,"meshMotion":"harmonic graph ALE"} |
| preferred_material | null |
| schema_version | 0.1.0 |
| stateVariables | [{"adjointDescription":"Shape design variables expose analytic design-to-coordinate derivatives consumed by analysis adjoints.","adjointSupported":true,"availability":{"topologyMethods":[]},"canonicalSymbol":"shape.d","complexValued":false,"componentDescriptions":["X component of mesh displacement","Y component of mesh displacement","Z component of mesh displacement"],"componentNames":["shape_x","shape_y","shape_z"],"componentSymbols":["shape.shape_x","shape.shape_y","shape.shape_z"],"compone... |
| studies | [{"certified":false,"differentiability":"exact-ad","kind":"optimization","reason":"Distributed free-shape reference implementation awaits benchmark certification."},{"certified":false,"differentiability":"exact-ad","kind":"sensitivity","reason":"Distributed free-shape reference implementation awaits benchmark certification."}] |
| transient_runtime | null |
| weak_contributions | [] |
| category | Mathematics / Optimization |
| description | Spatially distributed free-boundary design field with surface filtering, harmonic ALE extension, and exact design-to-coordinate derivatives. |
| dimensions | [3] |
| display_name | Shape Optimization |
| kind | Shape Optimization |
| namespace | shape |
| status | development |
| visible | false |