ReferenceAlpha
Topology Optimization
Cell-wise material design optimization with projected density and level-set design variables. Material interpolation is authored in each material-property field.
Reference
| Field | Value | Description |
|---|---|---|
| constraints | [] | — |
| coupled_runtime | null | — |
| differentiable_runtime | null | — |
| dynamic_outputs | [] | — |
| equation_summary | Density: thetaProj=P_beta,eta(filt(theta)). Material interpolation is defined by each authored property expression. Level set: theta=theta_min+(1-theta_min)H_beta(phi). | — |
| frequency_domain_runtime | null | — |
| metadata | {} | — |
| preferred_material | null | — |
| schema_version | 0.1.0 | — |
| stateVariables | [{"adjointDescription":"Topology density is a design variable with adjoint material-sensitivity support through certified analysis runtimes.","adjointSupported":true,"availability":{"topologyMethods":["Density Method"]},"canonicalSymbol":"topo.theta","complexValued":false,"componentDescriptions":["Raw topology control"],"componentNames":["theta"],"componentSymbols":["topo.theta"],"components":1,"description":"Unfiltered density-method design control.","differentiability":"semismooth","displayName":"Raw topology control","finiteElementSpace":"DG-P0","initialValue":"0.5","location":"cell","name":"theta","namingPolicy":"fixed","quantityId":"topology.raw-density-control","rank":"scalar","role":"state","runtimeEvidence":{"certificationFixture":"tests/python_backend/test_differentiable_physics_contract.py::test_builtin_physics_optimization_contract_gate","provider":"telion_backend.v2.runtimes.topology.optimize_topology"},"symbolPattern":null,"unit":"1"},{"adjointDescription":"Topology level-set is a design variable with semismooth adjoint material-sensitivity support through certified analysis runtimes.","adjointSupported":true,"availability":{"topologyMethods":["Level Set Method","Geometry Level Set"]},"canonicalSymbol":"topo.phi","complexValued":false,"componentDescriptions":["Level-set value"],"componentNames":["phi"],"componentSymbols":["topo.phi"],"components":1,"description":"Implicit level-set design field.","differentiability":"semismooth","displayName":"Topology level-set control","finiteElementSpace":"DG-P0","initialValue":"0","location":"cell","name":"phi","namingPolicy":"fixed","quantityId":"topology.level-set-control","rank":"scalar","role":"state","runtimeEvidence":{"certificationFixture":"tests/python_backend/test_differentiable_physics_contract.py::test_builtin_physics_optimization_contract_gate","provider":"telion_backend.v2.runtimes.topology.optimize_topology"},"symbolPattern":null,"unit":"1"}] | — |
| studies | [{"certified":false,"differentiability":"semismooth","kind":"optimization","reason":"Topology optimization availability is controlled by validated release evidence."}] | — |
| transient_runtime | null | — |
| weak_contributions | [] | — |
| category | Mathematics / Optimization | — |
| description | Cell-wise material design optimization with projected density and level-set design variables. Material interpolation is authored in each material-property field. | — |
| dimensions | [3] | — |
| display_name | Topology Optimization | — |
| kind | Topology Optimization | — |
| namespace | topo | — |
| status | development | — |
| visible | false | — |
Cell-wise material design optimization with projected density and level-set design variables. Material interpolation is authored in each material-property field.
Contract
| Property | Value |
|---|---|
| constraints | [] |
| coupled_runtime | null |
| differentiable_runtime | null |
| dynamic_outputs | [] |
| equation_summary | Density: thetaProj=P_beta,eta(filt(theta)). Material interpolation is defined by each authored property expression. Level set: theta=theta_min+(1-theta_min)H_beta(phi). |
| frequency_domain_runtime | null |
| metadata | {} |
| preferred_material | null |
| schema_version | 0.1.0 |
| stateVariables | [{"adjointDescription":"Topology density is a design variable with adjoint material-sensitivity support through certified analysis runtimes.","adjointSupported":true,"availability":{"topologyMethods":["Density Method"]},"canonicalSymbol":"topo.theta","complexValued":false,"componentDescriptions":["Raw topology control"],"componentNames":["theta"],"componentSymbols":["topo.theta"],"components":1,"description":"Unfiltered density-method design control.","differentiability":"semismooth","display... |
| studies | [{"certified":false,"differentiability":"semismooth","kind":"optimization","reason":"Topology optimization availability is controlled by validated release evidence."}] |
| transient_runtime | null |
| weak_contributions | [] |
| category | Mathematics / Optimization |
| description | Cell-wise material design optimization with projected density and level-set design variables. Material interpolation is authored in each material-property field. |
| dimensions | [3] |
| display_name | Topology Optimization |
| kind | Topology Optimization |
| namespace | topo |
| status | development |
| visible | false |